MATHORIGINS.COM_M
Home | Color Guide | Abbreviation Guide | Personal Library Master key | Usage Guide | Thank You A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W-X | Y-Z
Last updated 12/25/05
MAA: association
Follow this link to the MAA, The Mathematical Association of America.
MAES: Manchester Ancient Egypt Society
MAGDALENE: (Christian) Manuscript [New Testament]
http://debate.org.uk/topics/history/bib-qur/sum.htm
MAGDOLA: (Greek) papyri
(as per B.P. Grenfell, [B_051] HIBEH)
seek P. Magd. work(s) by:
Jouget and Lefebvre;
"P Magd. Deuxieme
Serie", p. 205. A collection of Greek Papyri.
Also note: P. Magd.
2, 4, 6 from the reign of Euergetes.
(as per E. G. Turner) P. Magd. = P. Lille ii.
AKA Medinet Nehas.
“In the case of the fragments of
P. Magdalen 17, these
steps are
described in the beginning of Colin
Roberts's first publication
of the fragments (HTR 46, 1953). A sound basis in method is
crucial to the further exercise of
critical thought.”
"Papyrus Magdalen Greek 17
(Gregory-Aland {P}64 ):
A Reappraisal," appears in Vol.
105 of ZPE.
pp. 13-20, and Plate IX.
MAGIC: [heka] (AE, Coptic, Greek, Jewish…) remnants
abracadabra an old AE word
See ALCHEMY; praxis; harris mag.; paracelsus; schemhamphoras; HERMES
[B_464=O_033,rvw]
Chicago, 1986.
Translations of Greek, Coptic and Demotic as gleaned from Papyri graecae magicae, 2nd edition and including fifty added items.
http://www.bbc.co.uk/history/ancient/egyptians/magic_01.shtml
MAHAVIRA: (Indian) Mathematician
See similarities to AE efforts.
http://www-groups.dcs.st-and.ac.uk/~history/References/Mahavira.html
See work of RAMANUJAN.
(see this post to HM by M. Gardner)
http://sunsite.utk.edu/math_archives/.http/hypermail/historia/dec99/0236.html
MAHGAR DENDERA 2: Archaeological AE site
(as per S. Hendrickx, EEF)
Available text:
By Hendrickx, S.; Midant-Reynes, B. & Van Neer, W..
“Mahgar Dendera 2 (Haute Egypte), un site d'occupation Badarien.”
Egyptian Prehistory Monographs 3. Leuven: Leuven University Press, 2001.
ISBN 90 5867 163 1, 21 x 29,5 cm, 112 pgs. + 56 pl. + 1 map. 20
To be ordered from: Leuven University Press, Blijde Inkomststraat 5,
B-3000 Leuven, Belgium.
Email: universitypress@upers.kuleuven.ac.be.
http://www.kuleuven.ac.be/upers
The site of Mahgar Dendera 2, in Upper Egypt, is the only new Badarian site excavated for over 50 years. It features a seasonal campsite, dating to about 4100 BC. The faunal remains indicate that people arrived at the site with their flocks at the moment when the Nile was low. Because the site is located close to the Nile, this allowed them to herd their animals when grazing possibilities became scarce in the vicinity of the permanent settlement.
Furthermore, they were fishing, probably in the main channel of the Nile. The site was left when the Nile started to rise, and the flooded zones became fordable and work in the fields started again.
The lithic material represents a specialised industry, apparently orientated towards working perishable materials such as wood and reed. Pottery was not produced at the site itself and served largely for storage purposes. The occupation features consist of hearths, post holes and storage holes. As an important part of the site was already destroyed at the time of the salvage excavation, it was impossible to identify well defined constructions. This volume contains the final excavation report, illustrated by a large number of drawings and photo's. (text in French with English summary)
MAIHERPI: BOTD
(as per EEF;
V. Solkin; 090103)
<snip>..the Book of the Dead
of Maiherpri, a child of
Royal nursery and royal fan-bearer, found in his tomb in the Valley of the
Kings (KV36) in 1899 by Loret.
Reign of Thutmosis IV. (See Reeves N.,
Wilkinson R. The Complete Valley of the Kings. - London, 1996, pp. 179-181).
MALLET [Dominique]: author/ AE papyrus
NO CATNYP
(as per Lange) P. Mallet in Louvre.
See work by Gaston Maspero.
[B_405,rvw] CATNYP# *OBKG (Mallet, D. Culte de Neit a Sais)
“La Culte de Neit a Sais.”
By Dominique Mallet, Paris, E. Leroux, 1888.
[F] Maspero, G., Le Papyrus Mallet, Recueil de travaux rélatifs à la philologie
et à l'archéologie égyptiennes et assyriennes 1 (1870), pp. 47-59.
http://132.229.190.79/dmd/bibliography.htm#F
MALTA: World’s oldest Temples at?
(052698) Joan Marler — “The Temples of Malta and the Megalithic Traditions of Western Europe” The temples of Malta, dating from the fourth millennium, B.C. are the oldest freestanding megalithic monuments in the world. Since their discovery, there has been a great deal of bizarre speculation as well as reputable research concerning their origin, construction and ritual function within prehistoric Maltese society.
http://www.serpentina.com/goddessalive/classes.html
http://www.bradshawfoundation.com/malta/tarxien4.html
http://www.bradshawfoundation.com/malta/hagar-qim3.html
http://www.bradshawfoundation.com/unambal/
The remains of the Mnajdra Temples lie at the foot of the hill on which
are located the temples of Hagar Qim. Mnajdra was first cleared of debris
by C. Lenormant in 1840. T. Ashby excavated the remaining intact parts in
1910. Further remains came to light during the conservation and restoration
works that the Museum Department undertook between 1952 and 1954. The small
temple was the first to be built, and the middle one the last. The site dates
from 3,600-2,500 BCE.
http://www.searchmalta.com/ezine/mnajdra/
MANCHESTER: University
See RYLANDS;
[B_093].
MANETHO: (Greek) Author
(as per EEF; T. Sagrillo)
There
are also 2 Arabic extracts of Manetho:
1 from Muhammad al-Biruni (var. al-Bayruni; AH 362-442/973-1048 CE), and 1
from Taqi al-Din al-Maqrizi (AH 767-846/1364-1442 CE); al-Maqrizi's extract
is a quote of al-Biruni's, with slight differences. (NB: al-Biruni was a Persian-speaking
Uzbeki, but wrote in Arabic)
However, neither al-Biruni nor al-Maqrizi give the Manethonic quotecontained in `Abd al-Latif.Sources:al-Biruni al-Khwarizmi, abu al-Rayhan Muhammad ibn Ahmad, and C. Eduard Sachau1878 Chronologie orientalischer Völker von Albêrûnî. Leipzig: F. A.Brockaus. (Reprinted Leipzig: Otto Harrassowitz, 1923). Arabic text, pp90-911879 The Chronology of Ancient Nations; An English Version of theArabic Text of the Athâr-ul-Bâkiya of Albîrûnî, or, “Vestiges of the Past,”Collected and Reduced to Writing by the Author in A. H. 390-1, A. D. 1000.Translated by C. Eduard Sachau. London: Oriental Translation Fund of GreatBritian and Ireland. (Reprinted Frankfurt: Minerva GmbH, 1969). Englishtranslation, p 102al-Maqrizi, Taqi al-Din Ahmad ibn `Ali ibn `Abd al-Qadir ibn Muhammad, andGaston Wiet1922 el-Mawâ`iz wa'l-I`tibâr fî dhikr el-khitat wa'l-âthâr. Volume 3:Deuxième partie, chapt. I-XLIX. Mémoires publiés par les membres del'Institut français d'archéologie orientale du Caire 46. Cairo: Imprimeriede l'Institut français d¹archéologie orientale du Caire. Arabic text withFrench editorial footnotes, pp 65-70
MANICHAEAN: (Greek) codex
(as per E. G. Turner) From the Chester
Beatty collection, this Greek codex includes portions of Genesis;
Gospels; Acts and Enoch.
MAPQUEST: to help you get there
MARBURG
MARESHA: (Aramaic) ostracon
[R_006;HOUSE,NO CATNYP]
“Measuring and Weighing in Ancient Times.”
Published: Haifa, Israel,
2001 by the Reuben and Edith Hecht Museum.
See page 26 [Hebrew] showing a marriage agreement [Kettuva]
from the Hellenistic period of the Edomite community of Maresha ~176 BCE.
MARI: (cuneiform) tablets
Several thousand tablets were found
at Mari, on the
River Euphrates, from 1933 onwards. These describe customs and give common
names for both individuals and cities of the period in question. The term
Habiru appears again in this archive. In OC terms, they date from the period of Zimri-Lin,
around 1700 BCE. The Babylonian ruler Hammurabi sacked the
city. Hammurabi's reign
is redated to 1565-1522 BCE in the NC.
Since he sacked Mari, the archive's date can be set in the region 1650-1500
BCE.
http://www.abbottfamily.clara.co.uk/patriarchscontext.htm
MARIETTE: (Author); papyrus
Auguste Mariette 1821-1881.
(as per ZAS, index#
0492) Seek “Notiz uber die Todtengesprache des Papyrus Mariette”, ZAS 6, 1868.
[B_161,IMG,8.5’s and OS]
CATNYP# *OBL+++(Mariette,
A. E. Serapeum de Memphis),
“(Le)
Serapeum de Memphis, decouvert et decrit par A. Mariette
Conservateur-Adjoint
au Musee Imperial du Louvre
Membre de la Societe Imperiale des Antiquaires
de France,
Associe-correspondant
de
l’Academie Royale des Sciences de Turin
Ouvrage
dedie A S. A. I. Mgr Le Prince Napoleon
Et
publie sous les auspices
De
S. E. M. Achille Fould
Ministre
d’Etat
Paris
Gide,
Libraire-Editeur
5,
Rue Bonaparte
1857.”
This text is an contains extensive
desription with French translations of the many fabulous items first uncovered
at the Serapeum.
[B_255,8.5’s and OS2] CATNYP#
*OBM+(Mariette, Mastaba de l’ancien empire),
Les
mastaba
de
l’ancien empire
fragment du dernier ouvrage
de
A.
Mariette
publiee
d’apres le manuscrit de l’auteur
par
G.
Maspero
Professeur
au College de France, Directeur General des Musees Egypte
Livraison
Paris
F.
Vieweg, Libraire-Editeur
67,
Rue de Richelieu, 67
1884[-5]
Handwritten
script, French text with detailed descriptions.
Discussions
of Abbott papyrus.
Carefully
prepared plans of tombs showing alignments (compass).
Carefully
prepared glyph sketches.
See [B_149]
p.12 error.
Error was not resolved by this [Marriette’s] text.
MARMARICA: (Greek) papyri
(as per E. G. Turner) Il papiro vaticano greco II, ed. M. Norsa
and G. Vitelli, Citta del Vaticano, 1931.
P.Marm.: Il papiro vaticano greco 11
P.Marm. v.: (Greek; AD 190; Marmarica)
http://perseus.csad.ox.ac.uk/cgi-bin/ptext?doc=Perseus%3Atext%3A1999.05.0156
Math content is minor.
MARRIAGE: do it once, do it right
http://jnul.huji.ac.il/dl/ketubbot/
See KETTUBAH; jews from about 1000 ce
MARSA MATROUH: discoveries near
http://www.uk.sis.gov.eg/online/html3/o200121u.htm
MASADA: (Hebrew ; Aramaic; Greek and Latin) Manuscripts;
fragments
From (near) Herod’s mountain fortress
See QUMRAN.
Texts discovered during the excavation of the fortress, including Hebrew and Aramaic ostraca and fragments of Latin papyri, several biblical texts, a Hebrew manuscript of Ben Sira, a copy of Songs of the Sabbath Sacrifice, a composition also known from Qumran, many fragments of Hebrew, Aramaic, Greek and Latin. Not all of this collection has been published.
http://home.flash.net/~hoselton/deadsea/deadsea.htm
See YADIN.
MASPERO: (Author); papyrus
Sir Gaston Camille Charles Maspero
1846-1916.
[B_083,rvw] CATNYP# *OBH (Cordier, H. Bibliographie
des oeuvres de Gaston Maspero), "Bibliographie
des oeuvres de Gaston Maspero...",
Paris, 1922.
(as per H.O. Lange) seek Maspero's
Guide to the Cairo Museum 3rd edition,
1906.
See BULAQ; CAIRO and LOUVRE.
(as per LEX) see P. Maspero=CG 67001-67539.
[B_309,HOUSE,IMG]
CATNYP# 3-MAF (Maspero, G. C. C. Ars-Una species mille)
My rare house copy is in German, titled:
“Geschichte der Kunst in Aegypten”
Stuttgart, 1913.
http://www.egyptologues.net/chaire/maspero.htm
MATH: prior to 1601 [and after Guttenberg’s invention]
[B_253,8.5’s,IMG,RARE] CATNYP# *KAB (Smith, D. E. Rara Arithmetica)
“Rara Arithmetica; a catalogue of the arithmetics written before the year MDCI, with a description of those in the library of George Arthvr Plimpton, of New York, by David Eugene Smith…[D. E. Smith, 1860-1944]”
Boston, London, Ginn and company, 1908. [2 Volumes].
This looks like fun. It is!
With images of the cover pages of rarer texts.
Special permission required. Access 6/2/01.
John Rathe is the resident expert [Curator?].
J. Rathe usually available 10 am – 6 pm.
See Galley division method.
See references to the Plimpton Library.
See references to the Manuscript of Boethius circa 1294.
Volume one, P. 56, Gelosia multiplication by Paciuolo; 1494.
Volume one, P. 56, Finger Symbolism by Paciuolo; 1494.
See the 1507 “Algorithmus”
See the 1551 Euclid; “Euclidis elementorum”
See the 1556 Boissiere.
See Boissiere’s “Rythmomachia”.
See 1559 “Libri vnvs et triginta” by Ramus.
See 1569 Mercado.
See Thomas Masterson’s 1592 text.
Reference to the Dogomari Manuscript.
See the work of Benedetto de Firenze [Florence].
Volume one, P. 82, Margarita Philosophica; plate B and A
Volume two is more of the math goodies from 1500-1601 with little useful content or analysis of the math but excellent clarification of the source’s locations.
This has been reprinted and is available for US$60.
Contact Oak Knoll Books (Delaware)
Phone: 302 328 7232
See Plimpton 322, cuneiform pythagorean triples.
See this link by Kim R. W. Zahrt:
http://www.iusb.edu/~journal/2000/zahrt.html
See this
fascinating compilation of number texts:
http://phrontistery.50megs.com/nnsbib.html
and home
page supreme:
http://phrontistery.50megs.com/index.html
(as per L.
Bailey) See:
“Histoire
de fractions, fractions d’histoire.” In
Science Networks
Historical Studies, volume 10.
Boston: Birkhauser
Verlag, 1992 NO CATNYP.
See also
[B_334,rvw]
[B_334,rvw,SIBL] CATNYP# *R-Science
QA21 .B767 1989
Carl Benjamin
Boyer [1906-?]
“A history
of Mathematics / Carl B. Boyer ; revised by Uta C. Merzbach.”
NY, Wiley,
c1989.
[B_335,rvw] CATNYP# JSE
91-2418
William Dunham,
[1947-]
“Journey through genius : the great theorems of mathematics
/ William Dunham.” NY: Wiley, c1990.
[B_335b,8.5,LB]
NO CATNYP.
David
Eppstein: “Ten Algorithms for Egyptian Fractions.”
Mathematica
in Education and Research, vol. 4, no. 2, (1995)
Note: There is almost nothing ancient or Egyptian about this work.
The results offered in no way can be used to generate the Rhind 2/n table.
[B_336,rvw,SIBL] CATNYP#
OFA (Gillain, O. Science egyptienne)
“La
science egyptienne; l’arithmetique au moyen empire.[AEME]
Avec
une preface de H. Bosmans, S. J.”
Bruxelles, [Edition
de la] Fondatation egyptologique reine Elisabeth, 1927.
Pages 245-250 and bibliography on file.
Numerous circular references and this:
1. Aben-Ezra, Sepher ha-mmispar, ecrit a Rodez en 1156.
2. Thureau-Dangin, Numeration et Metrologie sumeriennes.
In: Revue d’Assyriologie, XVIII, 1921, p. 123.
[B_336b,rvw]
Hurd, Spencer
P., “Egyptian Fractions: Ahmes to Fibonacci to Today.”
Mathematics Teacher [NO CATNYP], vol. 84, no. 7, (October 1991),: p. 561-568.
[B_337,rvw,LB,SIBL] CATNYP# OEC (Neugebauer, O. Exact Sciences in antiquity. 1951)
Otto Neugebauer,
[1899-?]
“The exact
sciences in antiquity.”
Copenhagen, E. Munksgaard; Princeton N.J., Princeton University Press, 1951.
See also:
[B_337b,rvw] Parker, Richard A., “Demotic Mathematical Papyri”
Providence,
Brown University Press, 1972.
[B_338,rvw,LB] CATNYP# Sc
913.32-H
John Richard
Harris, editor.
“The legacy
of Egypt; edited by J. R. Harris. Second edition.”
Oxford, Clarendon
Press, 1971.
See “The Calendars and Chronology.”
See also [B_338b,rvw]
[B_338b,rvw] CATNYP# Sc
913.32-H
See “Mathematics
and Astronomy.” By G. J. Toomer.
[B_339,rvw] CATNYP# OAC
(American Oriental Series. V. 68)
“Labor in
the Ancient Near East / edited by Marvin A. Powell.”
New Haven
Conn., OAS, 1987.
See also [B_342a,rvw,LB] also by Marvin Powell.
[B_342a,rvw,LB] CATNYP#
*O-*OAL+ 95-5473
“Civilizations of the Ancient Near East
/ Jack M. Sasson, editor in chief.”
Article: “Metrology and Mathematics in Ancient Mesopotamia.” By Marvin Powell.
In: Civilizations of the Ancient Near East, vol. 3. Edited by Jack M. Sasson.”
NY, Charles Scribner’s Sons, 1995.
See also:
[B_342b,rvw,LB] by Gay Robins.
“Mathematics, Astronomy, and Calendars
in Pharonic Egypt.”
In: Civilizations of the Ancient Near East, vol. 3. Edited by Jack M. Sasson.”
NY, Charles Scribner’s Sons, 1995.
See also:
[B_342c,rvw,LB] by Francesca Rochberg.
“Astronomy and Calendars in Ancient
Mesopotamia.”
In: Civilizations of the Ancient Near East, vol. 3. Edited by Jack M. Sasson.”
NY, Charles Scribner’s Sons, 1995.
[B_343,rvw,] CATNYP#
JSE 99-1817
“The Babylonian theory of the planets
/ N. M. Swerdlow.”
Princeton, N. J., c1998.
See also [B_343b,rvw,LB]
[B_343b,rvw,LB] NO CATNYP
Noel M. Swerdlow
“Ancient
Astronomy and Celestial Divination.”
Cambridge:
The MIT Press, 1999.
See [B_344] SCIENCE AWAKENING,
B. L. Van der Waerden.
See also
[unassigned]; NO CATNYP!:
“Vorgreichische Mathematik I: Vorgeschichte
und Agypten. Mathematische Studienhefte fur den mathematischen Unterricht
an Hoheren Schulen, book 1. Edited by H. Athen and G. Wolff.”
Hannover: Herman Schroedel Verlag,
1958.
[B_345,rvw] CATNYP#
OAA 72-689 Bd. 20
“Karl Richard Lepsius (1810-1884) : Akten der Tagung seines 100. Todestages,
10.-12.7.1984 in Halle / herausgegeben von Elke Freier und Walter F. Reineke.”
Berlin, Akademie-Verlag,
1988.
See also
unassigned:
“Karl Richard Lepsius (1810-1884) Begrunder der Agyptologie in Deutschland.”
By Erika Endesfelder.
See also
unassigned:
“Lepsius, le disciple
inspire.”
By Dietrich
Wildung.
[B_352,8.5;IMG] CATNYP# OAA (Societe Asiatique. Journal asiatique)
“Journal Asiatique.”
Paris [1822-?].
See article(s) by Rodet
in: [7TH SERIES,TOME 18, 1881]
“Journal Asiatique
de RECUEIL DE MEMOIRES D’EXTRAITS ET DE NOTICES RELATIFS A L’HISTOIRE, A LA
PHILOSOPHIE, AUX LANGUES ET A LA LITTERATURE DES PEUPLES ORIENTAUX. REDIGE
PAR MM. BARBIER DE MAYNARD, CHERBONNEAU, CLERMONT-GANNEAU, DEFREMERY, J. DERENBOURG,
DULAURIER, FEER, FOUCAUX, GUYARD, HALEVY, OPPERT, REGNIER, RENAN, SANGUINETTI,
E. SENART, ETC.
ET
PUBLIE PAR LA SOCIETE ASIATIQUE
Septieme
serie
Tome
XVIII
Paris
Imprime
par autorisation de M. le Garde des Scraux
A
L’IMPRIMERIE NATIONALE
M
DCCC LXXXI.”
Article “Les Pretendus problemes
d’algebre.”
Shows RMP workings.
Works of Aben-Ezra
Works of [Mohammed ibn Musa al-Khowarizmi] AKA Al-Kharizmi;
see Mokhraj.[LCD]. See text: “Al-Jabr wal-Muqabalah.”
See also:
ASAW=Abhandlungen der Sächsischen Akademie
der Wissenschaften zu Leipzig (Berlin) [B_358a]
Note that
Ahmes is called Ahmesu and Aahmesu.
[B_353,8.5,SIBL] CATNYP# OAC (Rey, A., Science dans l’antiquite)
“La science dans l’antiquite.”
Paris, 1930-48. Abel Rey.
(Pages 201-304 and bibliography on file.)
P. 201-287: “La Mathematique Egytienne.”
P. 288-304: “l’Astronomie Egyptienne.”
Five volumes.
Discussions
of:
AKHMIM, ANNUS VAGUS, BERLIN, BORCHARDT,
CHAMPOLLION,
EDFU, EUCLID, FERMAT, HARPEDONAPTES, HERMES, HERODOTUS, KAHUN,
LOGIC, MARIETTE, MMP, NEWTON, PEET, PHAEDO,
progressions, proportions, proofs, PYTHAGORAS, RAMESSEUM, REPUBLIC, RHIND, SOCRATES, SPIEGELBERG, STRABO, TANNERY ,THOTH, ZODIAC.
(as per Peet,
[B_226a]) See pp. 251 ff., pp. 281 ff.
Reference: Quibell, “Hieraconpolis
I”, pl. XXXVI.
Reference: G. Millhaud, “Nouvelles Etudes sur la Pensee Scientifique,
P. C8 in [?] J.-C. Heath’s: “A History of Greek Mathematics, I, 122.
Reference: Paul TANNERY, “Pour l’histoire de la science Hellene”,
Paris (Alcan), 1887. [B_388,rvw]. See KESKINTO.
Reference: Paul TANNERY, “La Geometrie Grecque”, Chapters VI and
VII.
[B_389,rvw]. See KESKINTO.
Reference: “Memoires scientifiques”,
ed. Par Mme. P. Tannery, Paris, 1912-1929.
[B_390,rvw]. See KESKINTO.
Reference: “Le progressioni aritmetiche
presso gli Egiziani” in:
Bolletino di Matematica, 1923.
Reference: “ad usum Delphini” – define?
Reference: Bailly, “Histoire de l’astronomie
ancienne”, Paris, 1775.
(Note that Gillain [B_336] also refers
to the below Bailly, 1787)
and, “Histoire [Traite?] de l’astronomie
indienne et orientale”, Paris, 1787. and, “Lettres sur l’origine des sciences”,
Paris,
[and or in?]: “Histoire de l’astronomie”,
1784, and, Recueil de pieces interessantes sur les sciences, Paris, 1810.
Reference: Biot (J.-B.), Articles
Nombreaux dans le “Journal des Savants”, (Paris) et les Comptes Rendus de
l’Academie des Inscriptions et de l’Academie des Sciences [B_356,rvw,KESKINTO], Paris,
entre 1831 et 1845. Cf. les references particulieres dans le present ouvrage,
a propos de l’astronomie egyptienne et de la science chinoise (Melanges scientifiques,
1858).
Reference: Biot (J.-B.), “Recherches
sur plusiers points de l’astronomie egyptienne”, 1823.
Reference: Biot, “Recherches sur
l’annee vagae des Egyptiens, in: Memoire relatifs a l’astronomie egyptienne,
p. 53-54 (note).
Reference: Favaro (A.), Sulla interpretazione
matematica del Papiro Rhind (Mem. Acad. Scienze, lett. Ed arti,
Modene, vol. XIX, 1879, p. 89-143.)
(as per Gillain, [B_336]) See also p. 18 from above.
(as per Vogel, [B_296]) See
also p. 89-143 of the above.
Reference: Schiaparelli; See SCHIAPARELLI; CUBIT.
Reference: Thureau-Dangin, Revue d’Assyrologie, t. XVIII, Paris, 1921.
Reference: Turaiev, Ancient Egypt, 1917, p. 100 [MMP]
Reference: Vetter, Bolletino di matematica, 1923 (sur les progressions)
Reference: Virolleaud (Ch.), l’astrologie chaldeene, 1908 et suiv. Vorderasiatische Bibliotek, Berlin.
Reference: Weidner, “Sur l’origine du theoreme de Pythagore”, (Orient Litt.-Zeitung, t, XIX, 1916, p. 261)
See also
the works of PLATO; Eratostenes…
http://www.univie.ac.at/orientalistik/bbh.html
Hudson, M., How Interest Rates Were
Set, 2500 BC - 1000 AD: Másh, tokos and f#+-#œ#+.#nus as Metaphors for Interest
Accruals: JEShO [JESHO=[B_380]] 43 ('00), p. 132-61 (1 Tab.).
[B_359,HOUSE]
(MSJ sugg*LP delivered Xmas 2001,SIBL)
CATNYP# *R-SIBL QA141.I3713
“The Universal History
of Numbers : from prehistory to the invention of the computer / Georges Ifrah
; translated from the French by David Bellos…[et al].”
Title: Histoire universelle
des chiffres. English
New York : J. Wiley,
2000
Wonderful!
Very limited overview of AE math but most other cultures are well discussed.
7.1. Boyer, Carl B. A
History of Mathematics. New York: John Wiley, 1968, Chapter XV, “The Renaissance”
(pp. 297–332), worth 1 paper.
7.2. Kline, Morris. Mathematical
Thought from Ancient to Modern Times. New York: Oxford University Press,
1972, chapter 12 (pp. 231–249), worth 1 paper.
7.3. Smith, David Eugene.
History of Mathematics. Boston: Ginn & Co., 1923–25. 2 vols. Reprinted
New York: Dover, 1958.
7.4. Wightman, W. P. D.
Science and the Renaissance An Introduction to the Study of the Emergence
of the Sciences in the Sixteenth Century. Edinburgh: Oliver and Boyd,
1962, Chapters VI (pp. 87–99) and VIII (pp. 129–147), worth 1 paper each.
7.5. Wightman, W. P. D.
Science in a Renaissance Society. London: Hutchinson University Library,
1972, chapters 3 (pp. 42–56) and 10 (pp. 130–140), worth 1 paper each.
7.6. Van Egmond, Warren.
Abbacus Arithmetic”. In I. Grattan-Guinness, ed. Companion Encyclopedia
of the History and Philosophy of the Mathematical Sciences. Vol. I. London:
Routledge, 1994, 200–209.
7.7. Reich, Karin. The ’Coss’
Tradition in algebra”. In I. Grattan-Guinness, ed. Companion Encyclopedia
of the History and Philosophy of the Mathematical Sciences. Vol. I. London:
Routledge, 1994, 192–199.
7.8 van der Waerden, B.
L. A History of Algebra from al-Khwarizmi to Emmy Noether. Berlin:
Springer-Verlag, 1985, pp. 32–69, worth 1 paper.
7.9. Kloyda, Mary T.K. Linear
and Quadratic Equations: 1550-1660. Ann Arbor: Edwards Brothers, 1935.
7.10. Russo, François. “La
constitution de l’algèbre au XVIe siècle: étude de la structure d’une évolution”.
Revue d’histoire des sciences 12 (1959), 193–208.
7.11. Swetz, Frank. “Fifteenth
and Sixteenth Century Arithmetic Texts: What Can We Learn from Them?” Science
& Education 1 no. 4 (1992), 365–378.
7.12. Cajori, Florian. A
History of Mathematical Notations. Vol I. Notations in Elementary Mathematics.
Chicago: Open Court, 1928. Reprinted 1974.
7.13. Williams, Jack. “Mathematics
and the Alloying of Coinage 1202-1700”. Annals of Science 52 (1995),
213–263.
7.14. Allen, Michael T.
Nuptial Arithmetic: Marsilio Ficino’s Commentary on the Fatal Number in
Book VIII of Plato’s Republic. Berkeley: University of C liforni Press,
1994.
7.15. Schneider, Ivo. “The
Market Place and Games of Chance in the Fifteenth and Sixteenth Centuries”.
In Cynthia Hay, ed. Mathematics from Manuscript to Print: 1300–1600.
Oxford: Clarendon Press, 1988, 220–235.
7.16. Ineichen, Robert.
Dante-Kommentare und die Vorgeschichte der Stochastik”. Historia Mathematica
15 (1988), 264–269.
7.17. Takacs, Lajos. “The
Problem of Points”. The Mathematical Scientist 19 no. 2 (1994), 119–139.
7.18. L’Huillier, Hervé. “Practical Geometry in the Middle Ages and the
Renaissance”. In I. Grattan-Guinness, ed. Companion Encyclopedia of the
History and Philosophy of the Mathematical Sciences.Vol. I. London: Routledge,
1994, 192–199.
7.19. Meskens, Ad. “Wine
Gauging in Late 16th- and Early 17th-Century Antwerp”. Historia Mathematica
21 no. 2 (1994), 121–147.
7.20. Homann, Frederick
A. “Christopher Clavius and the Renaissance of Euclidean geometry”. Archivum
Historicum Societatis Iesu 52 (1983), 233–246.
7.21. Bond, John D. “The
Development of Trigonometric Methods down to the Close of the XVth Century”.
Isis 4 (1921), 295–323.
7.22. Thoren, Victor E.
“Prosthaphaeresis Revisited”. Historia Mathematica 15 no. 1 (1988),
32–39.
7.23. Laird, W. R. “Archimedes
among the Humanists”. Isis 82 (1991), no. 314, 629–638.
7.24. Edgerton, Samuel Y.,
Jr. The Renaissance Rediscovery of Linear Perspective. New York: Basic
Books, 1975.
7.25. Edgerton, Samuel Y.,
Jr. The Heritage of Giotto’s Geometry: Art and Science on the Eve of the
Scientific Revolution. Ithaca: Cornell University Press, 1991.
7.26. Field, J. V. The
Invention of Infinity: Mathematics and Art in the Renaissance. Oxford:
Oxford University Press, 1997.
7.27. Field, J. V. “Perspective
and the Mathematicians: Alberti to Desargues”. In Cynthia Hay, ed. Mathematics
from Manuscript to Print: 1300–1600. Oxford: Clarendon Press, 1988, 236–263.
7.28. Wittkower, Rudolf.
Architectural Principles in the Age of Humanism. 3rd ed. London: Alec
Tiranti, 1962. 4th ed. London: Academy Editions; New York: St. Martin’s Press,
1988.
7.29. Van Egmond, Warren.
“The Contributions of the Italian Renaissance to European Mathematics.” In
Symposia mathematica. Vol. XXVII. London/New York: Academic Press,
1986, 51–67.
7.30. Rose, Paul Lawrence.
The Italian Renaissance of Mathematics: Studies on Humanists and Mathematicians
from Petrarch to Galileo. Geneva: Droz, 1975.
7.31. Franci, Raffaella,
and Laura Toti Rigatelli. “Towards History of Algebra from Leonardo of Pisa
to Luca Pacioli”. Janus 72 (1985), 17–82.
7.32. Franci, Raffaella,
and Laura Toti Rigatelli. “Fourteenth-century Italian Algebra”. In Cynthia
Hay, ed. Mathematics from Manuscript to Print: 1300–1600. Oxford: Clarendon
Press, 1988, 11–29.
7.33. Van Egmond, Warren.
“The Algebra of Master Dardi of Pisa”. Historia Mathematica 10 no.
4 (1983), 399–421.
7.34. Swetz, Frank J. Capitalism
and Arithmetic: The New Math of the 15th Century, Including the full text
of the Treviso Arithmetic of 1478 Translated by David Eugene Smith. La
Salle, IL: Open Court Publishing Co., 1987.
7.35. Biagioli, Mario. “The
Social Status of Italian Mathematicians, 1450–1600”. History of Science
27 no. 75, part 1 (1989), 41–95.
7.36. Van Egmond, Warren.
“How Algebra Came to France”. In Cynthia Hay, ed. Mathematics from Manuscript
to Print: 1300–1600. Oxford: Clarendon Press, 1988, 127–144.
7.37 Sesiano, Jacques. “Une
arithmétique médiévale en langue provençale”. Centaurus 27 no. 1 (1984),
26–75.
7.38. Margolin, Jean-Claude.
“L’enseignement des mathématiques en France (1540-70): Charles de Bovelles,
Fine, Peletier, Ramus”. In Peter Scharratt, ed. French Renaissance Studies,
1540-70 Humanism and the Encyclopedia. Edinburgh: University Press, 1976,
109–155.
7.39. Benoit, Paul. “Arithmétiques
commerciales et comptabilités dans la France médievale”. In Paul Benoit, Karine
Cheml , and Jim Ritter, eds. Histoire de fractions, fractions d’histoire.
Basel: Birkhauser, 1992, 307–323.
7.40. Cifoletti, Giovanna
C. “La question de l’algèbre: M thématiques et rhétorique des hommes de droit
dans la France du 16e siècle”. Annales HSS 6 (1995), 1385–1416.
7.41. Struik, Dirk J. The
Land of Stevin and Huygens: A Sketch of Science and Technology in the Dutch
Republic during he Golden Century. Dordrecht: D. Reidel, 1981. Pp. 32-60
(worth 1 paper).
7.42. Smeur, A. J. E. M.
The Sixteenth Century Arithmetics Printed in the Netherlands. The Hague,
1960.
7.43. Meskens, Ad. “Mathematics
Education in Late Sixteenth-century Antwerp”. Annals of Science 53
(1996), no. 2, 137–155.
7.44. Taylor, Eva G. R.
The Mathematical Practitioners of Tudor and Stuart England, 1485–1714.
Cambridge: The University Press, 1954.
7.45. Richeson, A. W. “The
First Arithmetic Printed in English”. Isis 37 (1947), 47–56.
7.46. Molland, A. George.
“Cornelius Agrippa’s Mathematical Magic”. In Cynthia Hay, ed. Mathematics
from Manuscript to Print: 1300–1600. Oxford: Clarendon Press, 1988, 209–219.
7.47. Jayawardene, S. A.
“The Influence of Practical Arithmetics on the Algebra of Rafael Bombelli”.
Isis 64 (1973), 510–523.
7.48. Cardano, Girolamo.
The Great Art, or the Rules of Algebra. English translation by T. Richard
Witmer. Cambridge, Mass.: MIT Press, 1968.
7.49. Naux, Charles. “Le
père Christophore Clavius (1537–1612): sa vie et son oeuvre”. Revue des
Questions Scientifiques 154 (1983), 55–67, 181–193, 325–347.
7.50. Knobloch, Eberhard.
Sur la vie et l’oeuvre de Christophore Clavius (1538–1612)”. Revue d’Histoire
des Sciences 41 no. 3-4 (1988), 331–356.
7.51. Knobloch, Eberhard.
“L’oeuvre de Clavius et ses sources scientifiques”. In Luce Girard, ed. Les
Jésuites à la Renaissance: Système éducatif et production du savoir. Paris:
Presses Universitaires de France, 1995, 263–283.
7.52. Swerdlow, N. M., and
O. Neugebauer. Mathematical Astronomy in Copernicus’s De revolutionibus.
New York: Springer-Verlag, 1984.
7.53. Panofsky, Erwin. “Dürer
as Mathematician”. In J. R. Newman, ed. The World of Mathematics. Vol.
I. New York: Simon nd Schuster, 1956, 603–621.
7.54. Peiffer, Jeanne. “Le
style mathématique de Dürer et sa conception de la géométrie”. In Joseph W.
Dauben, Menso Folkerts, Eberhard Knobloch, and Hans Wussing, eds. History
of Mathematics: States of the Art Flores quadrivii—S udies in Honor of Christoph
J Scriba. San Diego: Academic Press, 1996, 49–61.
7.55. Walton, Karen Doyle.
“Albrecht Dürer’s Renaissance Connections between Mathematics and Art”. The
Mathematics Teacher 87 (1994), 278–282.
7.56. Leonardo da Pisa.
The Book of Squares. Boston: Academic Press, 1987.
7.57. Cassinet, Jean. “The
First Arithmetic Book of Francisco Maurolico, Written in 1557 and Printed
in 1575: A Step Towards Theory of Numbers”. In Cynthia Hay, ed. Mathematics
from Manuscript to Print: 1300–1600.
Oxford: Clarendon Press, 1988, 162–179.
7.58. Mackinnon, Nick. “The
Portrait of Fra Luca Pacioli”. The Mathematical Gazette 77 (479) (1993),
130–219.
7.59. Taylor, R. E. No
Royal Road: Luca Pacioli and His Times. Chapel Hill: University of North
Carolin Press, 1942.
2060. Schultz, Phillip.
“Tartaglia, Archimedes and cubic equations”. The Australian Mathematical
Society Gazette 11 no. 4 (1984), 81–84.
All of the above and more as per
this link:
http://euclid.math.mcgill.ca/volkov/Reading.html
See also:
(AEB 87.1008) Bibe, Celia, Nouveaux recherches sur la mathematique pharaonique, partie II..., GM 100 (1987), 19-22.
[B_389,8.5,NO KESKINTO,SIBL] CATNYP# OKA (Tannery, P. Geometrie Grecque)
p. 567: Gelosia multiplication shown in image from Arabic math treatise. See fig 25.12. Item is Paris, BN, Ms. Ar. 2473, f-b9.
p. 566: see example of complexities of Galley division; Galley division AKA “A la Francaise”
Aben-Ezra, Sepher ha-mmispar, ecrit a Rodez en 1156.
[B_530,rvw,microform in German]
“Sefer ha-mispar [Book of Number] /cmeturgam u-meforash bi-leshon Ashkenaz me’ et Mosheh Zilberberg [Moses Silberberg].”
September 2002: Same book in print is available at JTS!
(As per EEF; 041803)
From HARRASSOWITZ publishers
Annette Imhausen, "Aegyptische Algorithmen. Eine Untersuchung zu
den mittelaegyptischen mathematischen Aufgabentexten"
(Aegyptologische
Abhandlungen 65) 2003. XI, 386 Seiten, br, ISBN 3-447-04644-9
EUR 58,- [D] / sFr 99,-, appr. 63,- US $
New edition of all the hieratic mathematical 'problem/procedure texts'.
MATH: after 1601
[B_316,HOUSE] CATNYP#
JFD 00-7977
“Uncle Petros and Goldbach’s
Conjecture / Apostolos Doxiadis.”
London, 2000.
A charming work. A gift from M. St.
John.
See also “Tuesdays with Morrie”.
UNASSIGNED in PHILOSOPHY.
[B_317,HOUSE] CATNYP#
JSD 00-140
“Philosophiae naturalis
principia. English”
ALT “Sir Isaac Newton’s
Mathematical principles of natural philosophy and his system of the world
/ translated into English by Andrew Motte in 1729 ; the translations revised,
and supplied with an historical and explanatory appendix, by Florian Cajori.”
Berkeley : University
of California Press, 1962, c. 1934.
[B_318,HOUSE] CATNYP#
OFO (Ore, O. Number theory and its history)
“Number
theory and its history.”
NY,
1948
Great find and the Chinese remainder theorem.
[B_319,HOUSE] CATNYP#
JSD 92-196
“The crest of the peacock
: non-European roots of mathematics / George Gheverghese Joseph.”
London, 1999
With a contribution
from Milo Gardner.
See HOFSTADTER.
http://www.cs.uidaho.edu/~casey931/mega-math/workbk/infinity/inhotel.html
10.1. Bos, H. J. M. Lectures
in the History of Mathematics. Providence, R.I., London: American Mathematical
Society/ London Mathematical Society, 1993.
10.2. Feingold, Mordechai.
The Mathematician’s Apprenticeship: Science, Universities and Society in England,
1560– 1640. Cambridge: Cambridge University Press, 1984.
10.3. Whiteside, D. T. “Patterns
of Mathematical Thought in the Later Seventeenth Century”. Archive for History
of Exact Sciences 2 (1960–1962), 179–388.
10.4. Pycior, Helena M.
Symbols, Impossible Numbers, and Geometric Entanglements. British Algebra
throug the Commentaries on Newton’s Universal Arithmetick. Cambridge: University
Press, 1973.
10.5. Baron, Margaret E.
The Origins of the Infinitesimal Calculus. Oxford: Pergamon, 1969. Reprinted
New York: Dover, 1987.
10.6. Bos, H. J. M. “Differentials,
Higher-Order Differentials and the Derivative in the Leibnizian Calculus”.
Archive for History of Exact Sciences 14 (1974–1975), 1–90.
10.7. Boyer, Carl B. The
History of the Calculus and Its Conceptual Development. New York: Dover, 1959;
first published as The Concepts of the Calculus, a Critical and Historical
Discussion of the Derivative and the Integral. New York: Columbia University
Press, 1939. Reprinted New York: Hafner, 1949.
10.8. Edwards, C. H., Jr.
The Historical Development of the Calculus. New York, Heidelberg, Berlin:
Springer Verlag, 1979.
10.9. Grattan-Guinness,
Ivor, ed. From the Calculus to Set Theory, 1630– 1910. An Introductory History.
London: Duckworth, 1980.
10.10. Boyer, Carl B. History
of Analytic Geometry. NewYork: Scripta Mathematica, 1956.
10.11. Dickson, L. E. History
of the Theory of Numbers. Washington, D.C.: The Carnegie Institution, 1919–1923.
Reprinted New York: Stechert, 1934, and New York: Chelsea, 1952, 1971.
10.12. Ore, Øystein. Number
Theory and Its History. New York, Toronto, London: McGraw-Hill, 1948.
10.13. Hacking, Ian. The
Emergence of Probability. Cambridge: Cambridge University Press, 1975.
10.14. Maistrov, L. E. Probability
Theory. A Historical Sketch.Translated by S. Kotz from Teoriia Veroiatnostei.
Istoricheskii Ocherk, Moscow, 1967. New York and London: Academic Press, 1974.
10.15. Pearson, Karl. The
History of Statistics in the 17th and 18th Centuries. Edited by E. S. Pearson.
London: Charles Griffin, 1978.
10.16. Cohen, H. Floris.
Quantifying Music. The Science of Music at the First Stage of the Scientific
Revolution, 1580– 1650. Dordrecht, Boston, Lancaster: D. Reidel Publ. Co.,
1984.
10.17. Goldstine, Herman
H. A History of Numerical Analysis from the 16th throug the 19th Century.
New York, Heidelberg, Berlin: Springer-Verlag, 1977.
10.18. Feingold, Mordechai,
ed. Before Newton. The Life and Times of Isaac Barrow. Cambridge, New York:
Cambridge Uni ersity Press, 1992.
10.19. Andersen, Kirsti.
“Cavalieri’s Methods of Indivisibles”. Archive for History of Exact Sciences.
31 (1985), 291–367.
10.20. Grosholz, Emily.
Cartesian Method and the Problem of Reduction. Oxford: Clarendon Press, 1991.
10.21. Scott, J. F. The
Scientific Work of René Descartes (1596– 1650). London: Taylor & Francis,
[1952]. Reprinted 1976.
10.22. Vuillemin, J. Mathématiques
et métaphysique chez Descartes. Paris: Presses Universitaires de France, 1960.
10.23. Mahoney, Michael
Sean. The Mathematical Career of Pierre de Fermat (1601 – 1665). Princeton,
N.J.: Princeton Uni ersity Press, 1973. 2nd edition, 1994.
10.24. Aiton, E. J. Leibniz.
A biography. Bristol/Boston: Adam Hilger, IOP Publishing, 1985.
10.25. Bertoloni Meli, Domenico.
Equivalence and Priority: Newton versus Leibniz. Including Leibniz’s unpublished
manuscripts on the Principia. Oxford: Clarendon Press, 1993; Oxford: Oxford
University Press, 1997.
10.26. Hall, A. Rupert.
Philosophers at War. The Quarrel between Newton and Leibniz. Cambridge: Cambridge
University Press, 1980.
10.27. Hofmann, Joseph E.
Leibniz in Paris, 1672– 1676, His Growth to Mathematical Maturity. Cambridge:
Cambridge University Press, 1974.
10.28. Gjertsen, Derek.
The Newton Handbook. London, New York: Routledge & Kegan Paul, 1986.
10.29. Hall, A. Rupert.
Isaac Newton. Adventurer in Thought. Oxford: Blackwell Publishers, 1992.
10.30. Harman, P. M., and
Alan E. Shapiro, eds. The Investigation of Difficult Things: Essays on Newton
and the istory of the exact sciences in honour of D. T. Whiteside. Cambridge:
Cambridge University Press, 1992.
10.31. Westfall, Richard
S. Never at Rest. A Biography of Isaac Newton. Cambridge: Cambridge University
Press, 1980.
10.32. Westfall, Richard
S. The Life of Isaac Newton. Cambridge: Cambridge University Press, 1993.
10.33. Whiteside, D. T.
“Isaac Newton: Birth of a Mathematician”. Notes and Records of the Royal Society
of London (1964), 53–62.
10.34. Whiteside, D. T.
“Newton’s Marvellous Year: 1666 and All That”. Notes and Records of the Royal
Society of London (1966), 32–41.
10.35. Dariulat, Jacques.
L’arithmétique de la Grace: Pascal et les carrés magiques.
Paris: Les Belles Lettres, 1994.
10.36. Edwards, A. W. F.
Pascal’s arithmetical triangle. London: Griffin, and New York: Oxford University
Press, 1987.
10.37. Taton, René, ed.
L’oeuvre scientifique de Pascal. Paris: Presses Universitaires, 1964.
The above and more via this link:
http://euclid.math.mcgill.ca/volkov/Reading.html
MATH: after 1701
11.1. Cajori, Florian. “Frederick the Great on Mathematics and Mathematicians”. American Mathematical Monthly 34 (1927), 122–130.
11.2. Gillispie, Charles Coulston. The Edge of Objectivity: AnEssay in the history of Scientific Ideas. Princeton: Princeton Universit Press, 1960. Reprinted Princeton, New Jersey: Princeton University Press, 1990.
11.3. Goldstine, Herman H. A history of Numerical Analysis from the 16th through the 19th Century. (Studies in the History of Mathematics and Physical Sciences, Vol. 2.) New York, Heidelberg, Berlin: Springer-Verlag, 1977, especiall pp. 119–260.
11.4. Goldstine, Herman H. A history of the Calculus of Variations from the 17th through the 19th Century. (Studies in the Histor of Mathematics and Physical Sciences, Vol. 5.) New York, Heidelberg, Berlin: Springer, 1980, especiall pp. 50–150.
11.5. Greenberg, John. The Problem of the Earth’s Shape from Newton to Clairaut. Cambridge, New York: Cambridge Universit Press, 1995.
11.6. Hofmann, Joseph E. Classical Mathematics. A Concise history of the Classical Era in Mathematics. Translated by H. O. Midonick. New York: Philosophical Library, 1959, esp. pp. 115–154.
11.7. Kline, Morris. Mathematical Thought from Ancient to Modern Times. New York: Oxford University Press, 1972. Reprinted New York: Oxford University Press, 1990.
The above and more via this link:
http://euclid.math.mcgill.ca/volkov/Reading.html
MATH: after 1801
12.1. Bourbaki, Nicolas. Eléments d’histoire des mathématiques. Paris: Hermann, 1960; revised 2nd ed., 1969 ; new ed., rev. and augmented, 1974; nouv. tirage. Paris: Masson, 1984. Translated as Elements of the History of Mathematics, Berlin; New York: Springer-Verlag, 1994.
12.2. Kline, Morris. Mathematical Thought from Ancient to Modern Times. New York: Oxford University Press, 1972. New York: Oxford University Press, 1990.
12.3. Ore, Øystein. Niels Henrik Abel. Minneapolis: University of Minnesota Press, 1957. Reprinted New York: Chelsea Pub. Co., 1974.
12.4. Rigatelli, Laura Toti. Evariste Galois, 1811–1832. Basel: Birkhauser, 1996.
12.5. Taton, René. “Evariste Galois : de l’histoire aux légende . Un parcour en histoire des mathématiques: travaux et recherche ”, Sci. Tech. Perspect. (Univ. Nantes, Nantes) 26 (1993), 155–172.
The above and more via this link:
http://euclid.math.mcgill.ca/volkov/Reading.html
See also Pillow Problems by Lewis Carroll/ AKA C. L. Dodgson
[B_410,SIBL] CATNYP# OER
(Dodgson, C. L. Curiosa mathematica)
“Curiosa mathematica: Pt. 2. Pillow
Problems.”
London, 1895
Not easy problems!
See also:
[W_085] WATSON#: PHOTO RARE /GR BRIT 1899
“The Lewis Carroll picture book : a selection from the unpublished writings and drawings of Lewis Carroll, together with reprints from scarce and unacknowledged work / edited by Stuart Dodgson Collingwood.”
London, 1899.
[B_579;HOUSE
reprint] CATNYP# OEZ (Abbott, E. A. Flatland. 1885)
“Flatland: A romance of many dimensions” Boston, 1885
Under the pseudonym: A. Square by [Clergyman] Edwin Abbott Abbott.
An introduction to a grander perspective of ourselves.
http://phrontistery.50megs.com/nnsbib.html
MATH: after 1901
13.1. Albers, Donald J., and G. L. Alexanderson, eds. Mathematical People. Boston: Birkhauser, 1985.
13.2. Albers, Donald J., Gerald I. Alexanderson, and Reid, Constance, eds. More Mathematical People. Boston: Harcout Brace Jovanovic , 1990.
13.3. Birkhoff, Garrett, ed. “Proceedings of the American Academy Works on the evolution of Modern Mathematics...” Historia Mathematica 2 (1975), 425–615.
13.4. Same as 12.1.
13.5. Casacuberta, C., and M. Castellet. Mathematical Research Today and Tomorrow: Viewpoints of Seven Fields Medalists. (Lecture Notes in Mathematics, No. 1525.) Berlin: Springer-Verlag, 1992.
13.6. Dieudonné, Jean. “Present Trends in Pure Mathematics”. Advances in Mathematics 27 (1978), 235–255.
13.7. Same as 12.2. Chapters 43–51.
13.8. May, Kenneth O. “Growth and Quality of the Mathematical Literature”. Isis 59 (1968), 363–371.
13.9. Monastyrsky, Michael. Modern Mathematics in the Light of the Fields Medal. Wellesley, MA: AKPeters Ltd., 1997.
13.10. Piers, Jean-Paul, ed. The development of Mathematics, 1900–1950. Basel: Birkhauser, 1994.
13.11. Tropp, Henry S. “The Origins and History of the Fields Medals”. Historia Mathematica 3 (2) (1976), 167–181.
13.12. Beaulieu, Liliane. “A Parisian Café and Ten Proto-Bourbaki Meetings (1934–1935).” The Mathematical Intelligencer 15 (1) (1991), 27–35.
13.13. Berndt, Bruce C. “Srinivasa Ramanujan”. American Scholar 58 (1989), 234–244.
13.14. Chandrasekharan, K. Hermann Weyl. 1885–1985. NewYork: Springer-Verlag, 1986.
13.15. Cooper, Necia Grant. From Cardinals to Chaos: Reflections on the Life and Legacy of Stanislaw Ulam. Cambridge, New York: Cambridge University Press, 1987.
13.16. Guedj, Denis “Nicolas Bourbaki, Collective Mathematician: An Interview with Claude Chevalley”. Mathematical Intelligencer 7 (2) (1985), 18–22.
13.17. Halmos, Paul R. I Want to be a Mathematician: An Automathography. New York: Springer-Verlag, 1985.
13.18. Hardy, G. H. A Mathematician’s Apology. Cambridge: Cambridge University Press, 1967.
13.19. Kanigel, Robert. The Man Who Knew Infinity: A Life of the Genius Ramanujan. New York: Scribner’s; Toronto: Collier Macmillan, 1991.
13.20. Kennedy, Hubert C. Peano: Life and Works of Giuseppe Peano. Dordrecht: Reidel, 1980.
13.21. Reid, Constance. Hilbert. New York: Springer, 1970.
13.22. Reid, Constance. Courant in Goettingen and New York: The Story of an Improbable Mathematician. New York: Springer, 1976.
13.23. Wang, Hao. Reflections on Kurt Goedel. Cambridge, MA: MIT Press, 1987.
13.24. Weil, André The Apprenticeship of a Mathematician. Basel: Birkhauser, 1992.
13.25. Biggs, Norman L., E. Keith Lloyd, and Robin J. Wilson, eds. Graph Theory 1736–1936. Oxford: Clarendon, 1976.
13.26. Harary, Frank. “On the History of the Theory of Graphs”. New Directions in the Theory of Graphs. Edited by F. Harary. New York: Academic Press, 1973, 1–17.
13.27. Kadvany, John. “Reflections on the Legacy of Kurt Goedel: Mathematics, Skepticism, Post Modernism”. Philosophical Forum 20 (1989), 161–181.
13.28. Lesort, Marc. “How Fractals Were Discovered”. Mathematics Education 3 (4) (1987), 11–17.
13.29. Weintraub, E. Roy, ed. Toward a History of Game Theory. Durham, NC: Duke University Press, 1992.
13.30. Dieudonné, Jean. “The Work of Nicolas Bourbaki”. American Mathematical Monthly 77 (1970), 134–145.
13.31. Rowe, David. “Klein, Hilbert, and the Goettingen Mathematical Tradition”. Osiris (2nd series) 5 (1989), 186–213.
The above and more via this link:
http://euclid.math.mcgill.ca/volkov/Reading.html
MATRITENSIS: (Greek) papyri
P.Matr.: Dieci Papyri Matritenses
P.Matr. 1. Official report: (Greek; AD 119; from Oxyrhynchus)
Accounts; math; fractions.
http://perseus.csad.ox.ac.uk/cgi-bin/ptext?doc=Perseus%3Atext%3A1999.05.0158
MAYA: extinct mesoamerican people
[B_575;IGNR,NO COPY]
MAYER: (Author, Hieratic; AE); papyri
Joseph Mayer 1803-1886.
[B_030,PIX,r04,r05]
CATNYP# *OBH+++(Peet,
T.E. Mayer papyri A & B) "Papyri Mayer",
v.2, 1920.
The discourse of a trial of thieves.
The oversized images at NYPL may be photographed, not copied.
Full Title:
“The Mayer papyri A
& B; nos. M. 11162 and M. 11186 of the Free public museums, Liverpool.
Pub. by authority of the Libraries, museums and arts committee of the Corporation
of Liverpool, by T. Eric Peet.”
See page 8, line 16, note hieratic
#2000+; extremely cursive
See name list of 188 persons!
[B_041a,041b,PIX r05.1] CATNYP#
*OBH (Peet, T. E. Great Tomb Robberies of the 20th Egyptian Dynasty),Oxford
1930.
See also
ABBOTT and MAYERiANUS.
(as
per S. Katary,
[B_100])
Mayer A = No. M. 11162
Mayer B = No. M. 11186
MAYERIANUS: codex (historical forgeries)
[B_162,rvw] CATNYP# *YN+(Sim onid es [Simonides], K. Fac-similes of certain portions of the Gospel of St. Matthew), “Fac-similes of certain portions of the Gospel of St. Matthew, and of the Epistles of Ss. James & Jude, written on papyrus in the first century, and preserved in the Egyptian museum of Joseph Mayer…”
London, 1861.
MCT: publication
MCT=”Mathematical Cuneiform Texts” by Otto Neugebauer.
[B_259,8.5,IMG;notes
filed with]
CATNYP# *OAC (American
Oriental series. V. 29)
”Mathematical Cuneiform
Texts edited by O. Neugebauer. And A. Sachs; with a chapter by A. Goetze”
New Haven, Conn., 1945
Note the special Babylonian/Akkadian signs for:
1/3
1/2
2/3
[3/4?]
5/6
See image/evidence of the early use of the square root of two.
Item# YBC 7289 obverse. 1.414125
See Plimpton 322.
See wages for a laborer in everyday use.
See Seked/ squared secants!
[B_005,IGNR,NO
IMG] CATNYP# *OCQ 95-5298
”Cuneiform Mathematical
Texts as a reflection of everyday life in Mesopotamia / by Karen Rhea Nemet-Nejat.”
New Haven, Conn., AOS,
1993
No useful
images. No copies made. Discussions of Akkadian.
[B_016,IGNR,NO
IMG] CATNYP# *OCO+(Virolleaud, C. Premier Supplement
a la liste des signes cuneiformes de Brunnow)
” Premier Supplement
a la liste des signes cuneiformes de Brunnow / par Ch. Virolleaud.” Paris,
1903.
No useful
images. No copies made. Discussions of Akkadian.
References
to George Reisner.
See Math: prior to 1601.
[B_373,rvw,SIBL]
CATNYP# *VBA p.v. 1502 [and 1509]
“Nouvelles decouvertes sur les mathematiques babyloniennes; conference faite au Palais de la decouverte le 1er decembre 1951.”
By Evert M. Bruins., Alencon, 1952.
See MICHIGAN.
The 36 times table:
http://it.stlawu.edu/~dmelvill/mesomath/tablets/36Times.html
See image grid
Note
the PLIMPTON 322 tablet shows
squared secants and NOT cotangents.
MDAIK: publication
MDAIK=[B_269]=Mitteilungen
des Deutschen Archaeologischen Instituts, Abteilung Kairo
[B_269;rvw
more]
CATNYP# *OBH+(Deutsches
Archaologisches Institut. Abt. Kairo. Mitteilungen)
NYPL
has: 14(1956)-56(2000)
Band
55 (1999) has NARMER glyph; Ostracon Cairo
SR 12202
(1999)
has Tafel 54; P. VINDOB D6500
(1999)
has Tafel 55; P. VINDOB D6502; recto and verso
(1999)
has Tafel 59; Ramsesnacht-Ostrakon, recto and verso
(1997) has Tafel 3;
Turinschriften des SERAPEUMS von MEMPHIS.
(1997)
has Tafel 37; Demotic graffiti at ELEPHANTINE.
See [B_269]
copies from M. St. John 11/21/01 of:
(1998) “Umm el-qaab
I / Das pradynastische Konigsgrab U-j und seine fruhen Schriftzeugnisse.”
“von Gunter Dreyer
Mit Beitragen von Ulrich Hartung und Frauke Pumpenmeier
und einem Anhang von
Friedel Feindt und Margaret Fischer.”
See ABYDOS, MDAIK, SCORPION
and UMM EL-QAAB.
MED.: (Greek) papyri
(as per E. G. Turner) See P. Mil.
MEDICINE: in ancient times
http://medweb.bham.ac.uk/histmed/pahor.html
See [B_390; KESKINTO; v4]
http://www.toutankhamon-magazine.com
(as per F. Tonic; EEF; 011603) * An article co-written by neurosurgeon Gonzalo Sanchez, MD and Egyptologist Tamara L. Siuda, MA entitled "Ebers Papyrus Case #873:
A Probable Case of Neurofibromatosis I" appears in the December 2002 issue (Volume 55 No. 12) of the South Dakota Journal of Medicine (ISSN 0038-3317). This paper was originally presented at the 2000 Annual Meeting of the American Research Center in Egypt in Berkeley, CA.
See [B_580,HOUSE]
“Ancient Egyptian Medicine.”
By John F. Nunn; 1996; University of Oklahoma Press.
Excellent references throughout and bibliography.
Filed under [B_580]
see this article:
http://www.ulg.ac.be/archgrec/testImages/aegeum/aegaeum22(pdf)/56%20HAIDER.pdf
“Minoan Deities in an Egyptian Medical Text.”
By Peter W. Haider, 2004.
References and Notes:
See W. Wreszinski, Der Londoner Medezinische Papyrus (B.M.
10059) und der Papyrus Hearst
(1912)
Re. B.M. 10059:
See Chapter 13, incantations 27-30 in Hieratic/Phonetic/Semitic forms.
See Chapter 14, incantation 31 in Hieratic/Phonetic/Nubian? forms.
See Chapters 15-16, incantations 32-33 in Hieratic/Phonetic/Minoan forms.
Razaja/Razija=Lazaja/Lazija [Minoan Deity]
Ameja/Amija [Minoan Deity]
See [New Kingdom] Papyrus Harris
no. XII:
Magical sentences in Minoan forms.
Pursue: T.E. Peet, “The Egyptian Writing Board, B.M. 5647,” in Essay in Aegaen Archaeology presented to Sir A. [Arthur] Evans (1927). Pages 90-101.
Pursue: J. Chadwick and J.T. Killen and J.-P. Olivier, The Knossos Tablets (1971).
Pursue: E.L. Bennett and J.-P. Olivier, The Pylos Tablets Transcribed, Part I (Inc. Graec. 51, 1973).
(as per EEF; K.
Newkirk; 102005)
<snip>
Kahun Gynecological Papyrus
is online from Etana Books, in two
volumes, text & plates, at the following URLS :
http://library.case.edu/ksl/ecoll/books/grihie00/grihie00.html
http://library.case.edu/ksl/ecoll/books/grihie01/grihie01.html
(as per EEF; J.
Kyffin; 101905)
<snip> an online translation and discussion of a medical (gynec.?) papyrus
on that site, by Stephen Quirke.
Note of moderator:
http://www.digitalegypt.ucl.ac.uk/med/index.html
MEDINET-HABU: ostraca and pylon and inscriptions
[B_060,ALL,OS
tafel] CATNYP# *OBZ+++(Duemichen,J. Kaledarischen
Opferfest-Listen im Tempel von Medinet-Hahn), "Die
Kalendarischen
Opferfest-Listen im Tempel von Medinet-Habu: nach dem am
vordersten Pylon des Tempels aufgefunden Bruchstucken desunter Ramses II.
abgefassten Originals und der unter Ramses III. an der sudlichen Aussenwand
seines Memnoniums eingemeisselten Copie/ zusammengestellt und mit Uebersetzung
und Erlaeuterungen hrsg. von Johannes Dumlichen.". Liepzig, 1881. AKA
Medinet-abu.
Tafel III, VIII = math!
*Tafel IX shows 1, 2, and 5 times 365.
Calendrical math.
Johannes Dumlichen [1833-1894]
Copies ordered 9/17/02 and got a job offer while working!
Copies retrieved on 9/18/02.
[B_084,rvw] CATNYP# *OAC p.v.267, "Medinet-Habu demotic ostracon 4038...by Richard Anthony Parker...", Chicago 1940.
(as per T.E. Peet, [B_041b]) see ABBOTT
and see work by LEPSIUS on inscribed
rock at Medinat Habu.
[W_045,rvw] WATSON# 533.5 St3. "Coptic ostraca from Medinet Habu / by Elizabeth Stefanski and Miriam
Lichtheim." Chicago, 1952.
See Lichtheim.
[W_046,rvw] WATSON# 533.5 L61. "Demotic ostraca from Medinet Habu", Chicago , 1957.
See this
link!
http://www-oi.uchicago.edu/OI/PROJ/EPI/CH_PR_1996/CH_PR_1996.html
Edgerton, W. F. and Wilson, J. A.
The Historical Records of Ramses III: The Texts in Medinet Habu Volumes
I and II. Studies in Ancient Oriental Civilization [SOAC]
12. Chicago: University of Chicago Press, 1936.
MEDINET-MADI: (Greek) ostraca
O. Medin. Madi.: (Greek; ~200 AD)
http://perseus.csad.ox.ac.uk/cgi-bin/ptext?doc=Perseus%3Atext%3A1999.05.0032
MEGIDDO: ancient (Israeli) city of
The root of the word Armageddon?
(as per PM) AKA Tell el-Mutsellim.
See Megiddo Ivories; AJA 42 (1938), p. 334-5.
Three names for one town:
Armageddon is the mythical place of the Book of Revelations; Megiddo is mentioned in the Old Testament. Itis also the region where Thutmosis III won a decisive battle.
[new] info:
http://www.helmsmuseum.de/museum/ausstellungen/stage_sonder.html
http://aquila.papy.uni-heidelberg.de/kat.html
(as per EEF; A.
Dailey; 093003)
According to Ahituv, Canaanite Toponyms in Ancient Egyptian
Documents (Leiden 1984), MEGIDDO
is for the first time mentioned
(as MkT, Makida) in Egyptian texts during the reign of Tuthmosis
III. Is this still valid, or have since then older references been
found?
(as per EEF; 102303)
…And MEGIDDO Stratum VI is the
key.
Until recently, most scholars dated Stratum VI to the period just before the
time of David, making him a candidate for its destruction; a later stratum
would then represent the town of David and Solomon. However, in a series of
articles,1 as well as in a recent interview in this magazine,* the head of
Tel Aviv University’s Institute of Archaeology, Israel Finkelstein, has argued
forcefully that Megiddo Stratum VI should be dated to the period of David
and Solomon (otherwise known as the United Monarchy). Stratum VI was destroyed,
he contends, by the Egyptian Pharaoh Sheshonq I, the Shishak of the Bible
(1 Kings 14:25-26; 2 Chronicles 12:2-9). All scholars agree that Sheshonq/Shishak
cut a devastating swath through Israel in about 925 B.C.E. A list of towns
he conquered and destroyed is inscribed in a poorly preserved hieroglyphic
inscription in the temple of Amun-Re at Karnak. More than 50 towns are named,
including MEGIDDO…
…Ancient MEGIDDO (Tell el-Mutesellim)
sits at a strategic point along the corridor that the Levant forms between
Egypt and Mesopotamia, where for millenia economic goods, peoples and ideas
have passed. It is located at the entrance to the Wadi ’Arah, a key pass through
the Mount Carmel Range that obstructs the north-south trunk route traversing
the region.
In the 15th century B.C.E., Pharaoh Thutmosis III, the great empire builder
of New Kingdom Egypt, campaigned north to subdue a coalition of rebellious
principalities led by the city of Kadesh, on the Orontes River in modern Syria.
His major obstacle was MEGIDDO,
which had joined the Kadesh coalition. “The capture of Megiddo is as the capturing
of a thousand cities,” the pharaoh said. He was successful, but only after
a protracted siege of the defiant town. Over the centuries, MEGIDDO
witnessed the passing of numerous invading armies and military campaigns,
securing for itself a prominent place in the historical memory of the region,
and earning it the apocalyptic designation as the scene of the final conflagration,
the Armageddon of the Bible….
See SHISHAK.
http://www.bib-arch.org/bswb_BAR/bswbba2906f1.html
MEHY: stele
(as per K. Weeks) Pursue biography of Mehy and Ramses II.
(as per EEF) see this link to an August 15 2000 post thread from Peter Feinman.
http://www.geocities.com/eeflib/EEFLibrary.html
(as per P. Feinman) see "La Stele de L'an 400 Retrouvee"
by Pierre Montet, 1931.
This Stele originally stood at Khata'Na Qantir.
Review GENESIS 50:1-11.
MEIDUM: (AE;
OK) pyramid at settlement of
Investigate cubit markings and construction date.
Also investigate ABU RAWASH.
MEKUTRA: AE papyri
Viewed at the MET, 4/24/02.
Found at THEBES.
11th Dynasty; ~2009-1991 BCE.
Hieratic math content.
See also HEKANAKHTE; WATSON.
MELANGES: title of works
[B_085,rvw] CATNYP# *OBQ+ 73-2731 t.107, "Itineraires
d'Egypte : melanges offerts au pere
Maurice Martin s.j. / reunis par Christian Decobert." Cairo 1992.
History and Church History.
[W_006,rvw] WATSON# 520 Et82 v13. "Melanges, Jacques Jean Clere." France, 1991.
See BULAQ; CAIRO; CLERE; LOUVRE.
[B_195,rvw,cubit,return to copy] CATNYP#
*OBKG (Chabas, F. J. Melanges Egyptologiques), “Melanges
Egyptologiques”, Paris, France Sept. 1873.
[First published in 1862].
Two volumes bound as one.
NYPL
has 3rd
series published 1870-1873. (Chalon-sur-Saone)
Available also at the Wilbour Library.
The second volume of this set has CUBIT stuff.
MEMNON: (AE, MK) colossus, graffitti
Near the
Ramesseum and VOK.
14th Century BCE [Amenophis] Statues near Ramesseum & KV.
The [~1 BCE] quake caused cracks to develop in the Colossi,
which ever after began “singing” when the sun rose. This led the Greeks to
deem them the Oracle of Memnon (an Ethiopian king in Greek mythology), to
which they and later the Romans made pilgrimages. When the Roman emperor Septimius
Severus restored the statues in hopes of gaining favor with Memnon,
they ceased speaking their oracles.
http://www.pbs.org/wgbh/nova/egypt/explore/memnon.html
MEMPHIS: (AE) town
See MARIETTE, MDAIK, SERAPEUM, THEBES.
(as per E.
G. Turner) This Greek codex from ~500 CE.
This codex was included in the archive
of Dioscorus of Aphrodito.
See Comedia Florentina in P.S.I. [PSI]
126.
See P. Bodmer IV.
p. 35 of [B_517],
has [no catnyp] very similar alt:
“Plays and Fragments / Menander ; with an introduction by Norma Miller.”
London, 1987.
MENDOZA: (Aztec) codex
See [B_359]; See also Dresden (Mayan) Codex.
Arithmetical content. Accounts.
See also RYLANDS; [B_093]
MERENPTAH: (AE; Hieroglyphic) Victory Stele of,
circa 1207 BCE
AKA MER-NE-PTAH
(as per T.E. Peet, [B_041b]) Coregent
Son of Ramses II who ruled as Pharaoh 9 years after his death.
(as per Kenneth R. Weeks) Ramses II's 30th son and the fourth
son by Queen Isisnofret (his 2nd principal wife).
Merenptah was buried in
KV8 (19th dynasty).
Ramses II buried in KV5.
Stele contains earliest non-biblical reference to people of Israel
(in Canaan).
(as per EEF; G. E. Kadish) … you might want to consult Kent
Weeks' recent publication: : KV 5 A Preliminary Report on the Excavation
of the Tomb of the Sons of Rameses II in the Valley of the Kings (AUC Press,
2000). It's vol. II of the publications of the Theban Mapping Project.
[W_047=B_125,rvw] WATSON# 533.5 W36., CATNYP# *OBX+93-2475
"Gottergericht und "Heiliger" Krieg im Alten Agypten : die
Inschriften des Merenptah zum Libyerkrieg
des Jahres 5 / von Thomas von der Way."
Heidelberger, 1992. See plates.
[W_048,rvw] WATSON# 520.5 So8. "Les monuments du roi Merenptah / par Hourig Sourouzian." 1989.
[W_049,rvw] WATSON# 536 B642 v16. "Untersuchungen im Totentempel
des Merenptah in Theben / unter der
Leitung von Horst Jaritz", Stuttgart, 1997.
“Canaan is captured with every evil circumstance (?). Askalon
is carried captive. Gezer is taken. Yenoam is brought to nought. Israel is
destroyed, its seed is not. Syria has become as the widows of Egypt. All the
lands together are at peace.”
(as per S. Katary, [B_100])
Merenptah is mentioned often in P. Wilbour.
He suggests that this song is diametrically
opposed to the structure of the AE
barks of many Pharaohs and that this suggests a strong AE influence over the people who wrote it.
territory until the Assyrian records of ~7-800
or possibly 900 BCE.
MERSENNE: (French) Mathematician; primes
See ERDOS; FERMAT; Ifrah; NUMBERS; TANIYAMA-SHIMURA…
http://archives.math.utk.edu/topics/numberTheory.html
GIMPS: Yields newest [2001] 39th M. Prime!
2^13,466,917-1 [over 4 million digits!]
http://www.mersenne.org/prime.htm
http://mathworld.wolfram.com/MersenneNumber.html
http://mathworld.wolfram.com/MersennePrime.html
MERTON: (Greek) papyri; collection
(as per E. G. Turner) P. Merton = The Greek papyri in the collection
of Wilfred Merton.
Vol i, ed. H. I. Bell and C. H. Roberts,
London, 1948.
Vol ii, ed. B. R. Rees, H. I. Bell,
J. W. B. Barns, Dublin, 1959.
P.Mert.: A Descriptive Catalogue of the Greek Papyri in the Collection of Wilfred Merton
P.Mert. 1.4. Letter from Aristomachos: (Greek; from Philadelphia?)
http://perseus.csad.ox.ac.uk/cgi-bin/ptext?doc=Perseus%3Atext%3A1999.05.0159
MESHA: (Moabitic) Stela; King of the Moabites
See UHN: p. 212: Stela of king Mesha of Moabites 842 BCE mentions YAHWEH.
http://www.bu.edu/anep/ANET.html
MESOAMERICAN: manuscripts and codices
See TROANO; MAYA; DRESDEN.
Mesoamerica, Pre-Columbian, §VI, 3: Manuscripts: Regional traditions
Anonimo Magliabechiano Codex see Codex Magliabechiano
Atlantic Codex (Milan, Bib. Ambrosiana)
(Florence, Bibl. Naz., Bench Rare 50)
Aubin Manuscript 20 (Paris, Bib. N., MS. Mexicain 20)
Mesoamerica, Pre-Columbian, §II, 4(iii): Post-Classic period: Southern Highlands
Mesoamerica, Pre-Columbian, §VI, 1: Manuscripts: Introduction
From the borgia group: see
http://pages.prodigy.net/gbonline/aubin20.htm
Aubin Manuscript #20
Skin folded in four sections, painted on one side.
51 by 91 cm.
Also known as Fonds Mexicaines 20 or Pintura No. 20 de la Colección Goupil Aubin.
Barberini
Codex (untraced) http://www.lib.uci.edu/exhibit/meso/colonial2.html
Barberini Codex (The Badianus Manuscript: An Aztec Herbal of 1552), pages 34-35 (for hiccups and for cough)
A small manuscript in the Vatican Library, bound in 16th-century crimson velvet, contains the earliest-known treatise on Mexican medicinal plants and native remedies. The Barberini is an herbal, documenting the pharmacological treatment of diseases. There were no Latin equivalents for most plant names, and so the translator had no choice but to record the Aztec names.
Azcatitlan Codex, folio 23
The first known reference to this Codex appears in the catalog of the Indian historical museum of Lorenzo Boturini Benaduci (1702-1755). There are no documented references from the year 1791 onwards until 1830, when Joseph Marius Alexis Aubin (1802-1891), director of the École normale superièure de Paris, traveled to Mexico on a research trip and acquired the manuscript. In 1840 he returned to France with his library, and in 1889 he sold his collection to Eugene Goupil. Following Goupil's death, his wife donated the collection to the Bibliothèque Nationale in 1898.
http://www.lib.uci.edu/exhibit/meso/colonial2.html
Sangallo, da: (1) Giuliano da Sangallo, §1(i): Early career, before c 1485
Bernulphus Codex (Utrecht, Catharijneconvent)
Ottonian art, §IV, 2(ii)(b): Manuscript painting, after c 1025
Biduini Codex (Koblenz, Landeshauptarchv)
Chronicles and histories, manuscript, §3: Medieval
Bocskay Schriftmusterbuch (Vienna, Kunsthistoriches Museum, Bocskay Codex)
Habsburg, §I: (10) Rudolf II, §2: Patronage
Boxer Codex (untraced)
manuscript dated 1590, and later acquired by Charles R. Boxer (hence known as the Boxer Codex), includes illustrations of these resplendently tattooed peoples
… The sixteenth century Spanish conquistadores called them pintados, “painted people.” Natives of the Western Visayan islands, these pintados were among the first local peoples to encounter the white man. Thus did they enter the European record. An anonymous manuscript dated 1590, and later acquired by Charles R. Boxer (hence known as the Boxer Codex), includes illustrations of these resplendently tattooed peoples. It later became clear that the body marks were not painted on, as the Spanish description suggested, but were applied via the tattooing practice of puncturing the dermis and inserting pigment to create an indelible design.
Brunei, §5: Coins
Carcassonne Codex (untraced)
NO GOOGLE: Carcassonne Codex!
Calvo, Marco Fabio
Codex Aubin (London, BM, Add. MS. 312)
Codex Aubin, (also called Codice de 1576) which is a Nahuatl text illustrated with marginal images painted in colour. On page 117 of the original there is a drawing of an Indian with large drops of blood flowing from the nose. The accompanying text in Nahuatl speaks of tribute payments made on “today, Saturday the 18 of August” and adds “… and also in August the sickness continued. Blood came out of our noses. Only in our houses from did the priests take our confessions and they helped us to eat. And the doctors cared for us. And when the church bells rang they did not sound for the buried, for we were abandoned in the church.” See Charles E Dibble (translator), Historia de la nación mexicana: reproducción a todo color del Codice de 1576 (Codice Aubin),. Madrid, Ediciones José Porrua Turanzas, 1963. (The translation is from Nahuatl into Spanish, the English passages above are our translation of Dibble's Spanish transcription.)
http://www.isr.umd.edu/~miw/coco/id15.htm
Throne, §V: Pre-Columbian Americas
Codex B (Paris, Inst. France)
Mesoamerica, Pre-Columbian, §X, 2: Museums, exhibitions and collections
Codex Borbonicus (Paris, Bib. Assemblée N., Y. 120)
Mesoamerica, Pre-Columbian, §VI, 2: Manuscripts: Materials and techniques
Mesoamerica, Pre-Columbian, §IX, 7(ii): Musical instruments: Types
Codex Borgia (Rome, Vatican, Bib. Apostolica, MS. Borg. Mess. 1)
Mesoamerica, Pre-Columbian, §I, 4(ii): Religion and iconography: Cosmologies
Mesoamerica, Pre-Columbian, §I, 4(iii): Religion and iconography: Deities and their attributes
Codex Boturini (Mexico City, Bib. N. Antropol. & Hist., MSS 35-38)
Narrative art, §IV: Pre-Columbian Americas
Codex Calixtinus (Santiago de Compostela, Archvs Catedral, Cod. Calixt. Libert 5)
See also
http://www.angelfire.com/zine/meso/meso/resources.txt
for ordering codex images and tr.
MESOPOTAMIAN MATHEMATICS: also sprinkled throughout
3.1. Same as 1.1.
3.2. Gandz, Solomon. “The
Origin and Development of the Quadratic Equations in Babylonian, Greek, and
Early Arabic Algebra”. Osiris (1937), 405–557.
3.3. Høyrup, Jens. “Algebra
and naive geometry. An investigation of some basic aspects of Old Babylonian
mathematical thought”. Altorientalische Forschungen 17 (1990), 27-69,
262- 354.
3.4. Høyrup, Jens. “Mathematics,
algebra, and geometry”. In The Anchor Bible Dictionary. Vol. IV. Edited
by D. N. Freedman. New York, etc.: Doubleday, 1992, 602–612.
3.5. Friberg, J. “Numbers
and Counting in the Ancient Near East”. In The Anchor
Bible Dictionary. Vol. IV. Edited by D. N. Freedman. New York,
etc.: Doubleday, 1992, 1139-1146.
See TORAH; [B_267,JH,8.5] CATNYP# *P-*PDD 92-4110
3.6. Nemet -Nejat, Karen
Rhea. Cuneiform Mathematical Texts as a Reflection of Everyday Life in
Mesopotamia. (American Oriental Series). Vol. 75. New Haven, CT.: American
Oriental Society, 1993.
3.7. Robson, Eleanor. Review
of K. R. Nemet -Nejat – Cuneiform Mathematical Texts as a Reflection of
Everyday Life in Mesopotamia. Bibliotheca Orientalis 52 (1995),
424-432.
3.8. Høyrup, Jens. In
Measure, Number, and Weight. Studies in Mathematics and Culture. New York:
State University of New York Press, 1994.
3.9. Caveing, Maurice. La
constitution du type mathématique de l’idéalité dans la pensée grecque. Essai
sur le savoir mathématique dans la Mésopotamie et l’Egypte anciennes.
Presses Universitaires de Lille, 1994.
3.10. Høyrup, Jens. “Changing
trends in the historiography of Mesopotamian mathematics: An insider’s view”.
History of Science 34 (1996), 1-32.
3.11. Powell, Marvin A.,
Jr. “The Antecedents of Old Babylonian Place Notation and the Early History
of Babylonian Mathema ics”. Historia Mathematica (1976), 417–439.
3.12. Høyrup, Jens. “Investigations
of an Early Sumerian division problem”. Historia Mathematica 9 (1982),
19-36.
3.13. Whiting, Robert M.
“More evidence for sexagesimal calculations in the Third Millennium B.C.”
Zeitschrift fur Assyriologie 74 (1984), 59-66.
3.14. Friberg, J. “The early
roots of Babylonian mathematics : Three remarkable texts from ancient Ebla”.
Vicino Oriente 6 (1986), 3-25.
3.15. Thureau-Dangin, François. Textes mathématiques babyloniens. (Ex
Oriente Lux, I.) Leiden: J. Brill, 1938.
3.16. Neugebauer, Otto,
and Abraham Joseph Sachs. Mathematical Cuneiform Texts. New Haven,
Conn.: American Oriental Society and American Schools of Oriental Research,
1945.
3.17-19. Sachs, Abraham
Joseph. “Babylonian Mathematical Texts. I. Reciprocals of Regular Sexagesimal
Numbers”. Journal of Cuneiform Studies 1 (1947), 219–240; “Babylonian
Mathematical Texts. II. Approximations of Reciprocals of Irregular Numbers
in an Old-Babylonian Text”; “Babylonian Mathematical Texts. III. The Problem
of Finding the Cube Root of a Number”. Journal of Cuneiform Studies 6
(1952), 151–156.
3.20. Gandz, Solomon. “Studies
in Babylonian Mathematics. I. Indeterminate Analysis in Babylonian Mathematics”.
Osiris 8 (1948), 12–40.
3.21.
Bruins, Evert M., and Marguerite Rutten. Textes mathématiques
de Suse. (Mémoires de la Mission
Archéologique en Iran, XXXIV.) Paris: P. Geuthner, 1961.
3.22. Friberg, J. “Methods
and Traditions of Babylonian Mathematics. I: Plimpton
322, Pythagorean Triples, and the Babylonian Triangle Parameter Equations”.
Historia Mathematica 8 (1981), 277– 318.
3.23. Friberg, J. “Methods
and Traditions of Babylonian Mathematics. II. An Old Babylonian Catalogue
Text with Equations for Squares and Circles”. Journal of Cuneiform Studies
(1981), 57–64.
3.24. Neugebauer, Otto,
and Abraham Sachs. “Mathematical and metrological texts”. Journal of Cuneiform
Studies 36 no. 2 (1984), 243–251.
3.25. Muroi, Kazuo. “Inheritance
Problems of Babylonian Mathematics”. Historia Scientiarum 34 (1988),
11-19.
3.26. Idem, “Extraction
of Cube Roots in Babylonian Mathematics”. Centaurus 31 (1989), 181-188.
3.27. Idem, “Interest Calculations
of Babylonian Mathematics: New interpretations of VAT 8521 and 8528”. Historia
Scientiarum 39 (1990), 29- 34.
3.28. Idem, “The Expressions
of Zero and of Squaring in the Babylonian Mathematical Text VAT 7537”. Historia
Scientiarum (2) 1 (1991), 59-62.
3.29. Idem, “Small Canal Problems of Babylonian Mathematics”.
Historia Scientiarum (2) 1 (1992), 173 –180.
3.30. Idem, “Reexamination of Susa Mathematical Text No.
3: Alleged value pi = 3 1/8”. Historia Scientiarum (2) 2 (1992), 45-49.
3.31. Idem, “Reexamination
of the First Problem of the Susa Mathematical Text No. 9.” Historia Scientiarum
(2) (1994), 231-233.
3.32. Idem, “Two Harvest
problems of Babylonian Mathematics”. Historia Scientiarum (2) 5 (1996),
249-254.
3.33. Idem, “An Enigmatic
Sentence in the Old Babylonian Table of Exponents and Logarithms”. Historia
Scientiarum (2) 6 (1997), 229-230.
3.34. Idem, “A Circular
Field Problem in the Late Babylonian Metrological–Mathematical Text W 23291-x”.
Ganita Bharati 19 (1997), 86-90.
3.35. Idem, “Expressions of a Unit in Babylonian Mathematics”.
Acta Sumerologica (Japan) 20 (1998), 121-125.
3.36. Idem, “Early Old Babylonian
Mathematical Problems Written in Sumerian”. Historia Scientiarum (7)
(1998), 199-203.
3.37. Brack-Bernsen, Lis,
and Olaf Schmidt. “Bisectable trapezia in Babylonian mathematics”. Centaurus
33 (1990), 1-38.
3.38. Høyrup, Jens. “‘Remarkable
numbers’ in Old Babylonian mathematical texts: A note on the psychology of
numbers”. Journal of Near Eastern Studies 52 (1993), 281-286.
3.39. Høyrup, Jens. “On
subtractive operations, subtractive numbers, and purportedly negative numbers
in Old Babylonian mathematics”. Zeitschrift fur Assyriologie 83 (1993),
42-60.
3.40. Nemet -Nejat, Karen
R. “Systems for learning mathematics in Mesopotamian scribal schools”. Journal
for Near Eastern Studies 4 (1995), 241-260.
3.41. Fowler, David, and
Eleanor Robson. “Square root approximations in Old Babylonian mathematics:
YBC 7289 in context”. Historia Mathematica 25 (1998), 366– 378.
3.42. De Odorico, Marco.
The Use of Numbers and Quantifications in the Assyrian Royal Inscriptions.
State Archives of Assyria Studies, 3, 1995.
3.43 Van der Waerden, B.L.
Science Awakening, I. 2nd ed. Leyden: Noordhoff Interna ional Publishers
and New York: Oxford University Press, 1961. [Chapter 3; worth 1 paper]
All the above and more via this link:
http://euclid.math.mcgill.ca/volkov/Reading.html
MESU BETESH: (OK; AE) obscure reference
(as per E.A. Budge) See BOTD chapter XV.
"Write for thee Thoth [and] Maat day every.
Thine enemy [is] given to the fire, the evil one hath fallen;
his arms [are] bound, removed hath Ra his legs;
the sons of impotent revolt never [again] shall they rise up!"
AKA Children of unsuccessful revolt.
AKA The attendant fiends of the enemy of Ra.
See ANI; B.M. 10471
See BRONZE; CONSTRUCTION and GOLD,
ASEM, AMARNA, STRABO
(as per EEF; S. Bojtos; 121002)
(as per EEF; S. Whittet ; 052402)
METALS (Gold)
Asem in Ancient Egyptian/Coptic
See Dbn [Deben] in RMP problems; see RHIND
Henri Stierlin, The Gold of the Pharaohs,
Terrail, Paris, 1997. Pb.,
METALS: (IRON) See TRADE
(as per D. Hall)
See BRONZE
METALS (Zinc)
“The earlier occurrence of zinc in man - made artifacts is in the
widely used for casting statuary, covering temple
roofs, fabricating vessels, etc.
METHEN: (OK; AE) inscriptions
(as per T.E. Peet) "Land measures... in full development"
(as per J. Legon) A Sakkarra tomb of mTn (Methen).
Land measures (math), Early 4th Dynasty, (_LD_II, 3-7).
See also PALERMO.
METROLOGY: The study of measure
See also: CUBIT; GNOMON; SEKED.
(as per AEB 81.1169) Petruso, Karl M., Early Weights
and Weighing in Egypt and the Indus Valley, Bulletin Museum of Fine Arts,
Boston 79 (1981), 44-51. See MINOS.
(as per AEB 85.1319) Rawlins, Dennis, Ancient Geodesy:
Achievement and Corruption, Vistas in Astronomy, Oxford 28 (1985), 255-268.
A review of the accurate latitude placement?
of some AE Temples.
(as per M. St. John)
A minute of longitude (practically a constant) = 1.85 km (1.15625 miles) so that from my table
of geographic positions of these pyramids I can give you the distances between
them:
Saqqara (at least 15 pyramids
at this site)
5.55 kms (3.47 miles) to
Dashur (at least 7 pyramids at this site)
5.55 kms (3.47 miles) to
Mazghuna (at least 2 pyramids at this site)
20.35 kms (20.35 miles) to
el-Lisht (at least 2 pyramids at this site)
If we exclude Saqqara
then each of the other sites contain pyramids dated to 12/13th Dynasties i.e.
in the 330 or so years between 1985 and 1650 BC. This does not satisfactorily
explain ALL the data, but the edge of desert, i.e. just out of reach of floods,
holds for each and every pyramid ever built.
(as per AEB 85.1323) Cour-Marty, M., La collection de poids du
Musee du Caire revisitee, RdE 36 (1985), 189-200 (kdt fraction standard). Work on weights
and Measures [MATH].
(as per G. Nygaard) See this interesting link.
http://ourworld.compuserve.com/homepages/Gene_Nygaard/t_jeff.htm
(as per G. Oaten) See this remarkable link.
http://users.net2000.com.au/~fmetrol/
I suggest you review Petrie's survey of Gizeh (Giza). See Giza and Gizeh.
See [B_130] below.
[B_126,rvw] CATNYP# *OBLF (Barnard, F.A.P., Imaginary ..),
“The imaginary metrological system of the Great Pyramid of Gizeh”,
NY, 1884. See Giza. Also available on microform.
London, 1910. A metrological study.
“The pyramids of Gizeh,
from actual survey and admeasurement, by J. E. [!] Perring. Illustrated by
notes and references to the several plans, with sketches taken on the spot by E. J.
Andrews.”, London, 1839-42. See images.
CATNYP# *OBLF 95-4291
reprint of above [B_130].
London, 1990.
Mechanica
Metrica
Dioptra
(as per S.
Katary, [B_100]) One Aroura
~ 2/3 an acre.
(as per L. Bailey) See Edward Castle’s
dissertation on Metrology
Not yet published, pursue at UMI; Bell
& Howell?
[B_210,8.5,SIBL] CATNYP# VBDB (Hussey, R. Essay on the ancient weights and
money) Hussey, Robert, (1801-1856).
“An essay on the ancient
weights and money, and the Roman and Greek liquid measures, with an appendix
on the Roman and Greek foot. By the Rev. Robert Hussey…”
Oxford, 1836.
This found via a reference in [B_149]. See Lepsius.
Little info
on AE Cubits but an interesting
metrological collection.
One footnote on page 235 specifies
a red stone Egyptian Cubit at Turin measuring ~20.5 inches.
[B_211,8.5,CUBIT] CATNYP# VBDC (Fenner von Fenneberg, L. Untersuchungen uber
die Langen) Fenner von Fenneberg, Ludwig.
“Untersuchungen uber
die Langen- Feld- und Wegemaasse der Volker des Altherthums, insbesondere,
der Griechen und der Juden / von Ludwig Fenner von Fenneberg.”
Berlin, 1859.
At the Science
Library. Also at Wilbour.
See page
57 for CUBIT analysis.
This found
via a reference in [B_149]. See Lepsius.
*This may be a pseudonym for ___?
[B_219,cvr only,rvw]
CATNYP# 3-VBDB (Boeckh,
A. Metrologische Untersuchungen uber Gewichte)
“Metrologische Untersuchungen
uber Gewichte, munzfusse und masse des altherthums in ihrem zusammenhange,
von August Bockh.”
Berlin, Veit, 1838.
August Bockh [Boeckh], 1785-1867.
At the Science
Library.
This found
via a reference in [B_149]. See Lepsius.
[B_232,return to it again, NO COPY,SIBL] CATNYP# JSD 73-374
“Metrologicorum scriptorum
reliquiae, collegit, recensuit, partim nunc primum edidit Fridericus Hultsch.
Editio stereotypa editionis annorum 1864/1866.”
Stutgart, 1971.
Author: Friedrich
Otto Hultsch, 1833-1906.
Note: Cover Title=Scriptores
Metrologici.
Volume 1: Quo scriptorum Graecorum et Romanorum Teubneriana.
[Scriptores
Graeci]
Volume 2: Quo scriptores Romani et indices continentur.
At the Science
Library.
Poetic [Greek-math]
stuff [in Latin].
[B_234a,8.5,NO IMG]
CATNYP# *OBM+1809 (France,
Commission des Monuments d’Egypte)
“Description de l’Egypte,
ou, Recueil de observations et des recherches qui ont ete faites en Egypte
pendant l’expedition de l’armee francaise, publie par les ordres de Sa Majeste
l’empereur Napoleon le Grand.”
Paris, 1809-1828.
See copies of Girard’s Nilometer
work.
Tome premier.
Article title: Memoire sur le nilometre
de ile d'Elephantine et les mesures
(Notes on the Nilometer on the island
of Elephantine)
egyptiennes par M. P. S. Girard.
Pages 1-48 including (pg. 48) chart
of historical units converted to meters.
Publisher: De l'Impremerie Imperiale
(by order of Napoleon the Grand)
Found this via NYPLSOI.
[B_234b,rvw] CATNYP# *OBM++ (France, Commission des Monuments d’Egypte.
Description de l’Egypte Library has: Text vols.)
As above.
[B_234c,rvw] CATNYP# *OBM+++ (France, Commission des Monuments d’Egypte.
Description de l’Egypte)
As above.
[B_HOUSE,W_084=R_006,NO CATNYP] WATSON# 500.9 M46
“Measuring and Weighing
in Ancient Times.”
Published: Haifa, Israel,
2001 by the Reuben and Edith Hecht Museum.
Preface reference to an iron Byzantine
rod, discovered at Schlomi, Israel, measuring 5 Roman Cubits totalling 2.59
meters in length.
2.59/5=~520mm=Roman
Cubit
In the Hittite laws the price of
a bull (for ploughing) was 12 silver shekels.
A cow at 5 shekels.
A calf at 3 shekels.
In the code of Hammurabi the salary for a farm laborer is set at
6 “she” [SHEH] of silver per day.
Jeremiah 32: 9-10 tells of a Prophet
buying a field for 17 silver shekels.
Genesis 23 tells of Abraham’s purchase
of the (Burial) cave of Machpeleh for
400 shekels of silver. (Exhorbitant price)
The ~1800 BCE Archive of Mari (on the Euphrates) contains Royal documents
regarding the preparation of valuable metals into crafted works and involving
a weighing before and after the work.
The technical term for the variance
in weight (the inherent loss due to both processing metals and weighing innaccuracies)
was: shiqu(m).
Isaiah 40: 15 has the term as: shahak.
Often translated as “dust in the
balance [scale]”
See the Gold (standard) meter in
the Louvre.
2, 4, 8,
16, 24, and 40 shekels
4 Judaen
shekels = 1/2 deben (an AE unit)
10 AE qebets
= AE deben
Deben was a quasi-standard heavy ring of refined precious metal.
1 Judaen
shekel = 24 gera = 11.38 grains or grams?
1 nesef =
5/6 Judaen shekels
1 pym = 2/3
Judaen shekels
1 beqa= 1/2
shekel
See Samuel
13: 21 (the only use of pym)
See II Samuel
15: Absalom:
Lmlk (to
the King) standard.
The holy
shekel = 20 gera?
See the Judaean lmlk jars of Hebron,
Mamshit, Ziph and Sochoh.
Kikar = Talent
= ~25 kilograms=~55 pounds
Maneh= Minah
= 50 or 60 shekels.
See I Samuel
1: 24; 25: 18; II Samuel 16: 1
See one nevel
of wine
See Samarian
ostraca inscribed: laginos (volume)
See Biblical period shards from Tel Khualiefeh (near Eilat).
See Persian period shards from Elephantine (Yev)
See many references from (~1350 BCE) Ugaritic texts to:
Kad = volume = Biblical bat or bath = ~22.5 litres.
Term is Akkadian
in origin?: karpatu or kiripu.
One term
for many goods
See REALLEX.
See Western
Anatolian volume: Kyprus = wine measure
19.6-22.4
liters = Chian Kyprus
21-22 liters
= Lesbian Kyprus
20-25 liters
= Samian (wine) Kyprus
19.6-21.1 = Charsonessos (Mendian
wine) Kyprus
See four
different standard shekels of:
Canaanite
Egyptian
Hittite
And Mesopotamian
metrology
See AE h’qt [HEKAT] = 5.2 litres of olive oil but,
= only 4.5
litres of wine.
See Assyrian
sillu = 5.7 litres
Assyrian
cubit = 330 mm.= 27 dektiloi [fingers]
See Athenian
kotoyle = .272 litres
See Ancient
Greek Metretes = 2 bat
See Ancient
Greek amphora = 1 metretes = 40 litres
(amphi phoreos
= carried by a pair of porters)
Oversized and randomly shaped larger
vessels called pithoi from Greek term pithos.
Capacity
of pithoi = 5 bat = 110 litres
Which~=6
AE ephet of 19.1 litres.
See this text by Heltzer, Michael.:
“Die organization des hondwerks im ‘Dunklem
Zeitalter’ und im 1 Jahrtausend v.u.z. nostlichen Mittelmeergeheit”, Padova, 1992.
See [B_374,rvw]
Greek name for a measure of kotoyle = .273 ml.
4 choinix = 1 kotoyle (dry)
1 chous = 4 kotyles (liquids)
Mina=mna= ~1/2 kilo (usually?)
See Metronomoi
(enforcers of uniform measure)
(as per L. Holland) Hebrew word Caf
means palm [of hand] and scale-pan.
Balance comes from bilanx [Latin:
two pans]
See the tombstones (4-500 CE) of
ZOAR.
See deed from KEFAR BARU dated to
[Bar Kokhba] the third year of the freedom of Israel.
Clarify Gittin? Talmud?
See inscriptions in the SUSYA synagogue
in (Naveh 1978, No. 76, Hebrew).
Dating from
the destruction of the second temple.
See page 55 [Hebrew]
weighing gold (relief) from: tomb
of Meruru=ka ~2300 BCE
weighing gold (painting) from: tomb
of Amen-em-het ~1950 BCE
(as per the link below):
http://2terres.hautesavoie.net//megypte/texte/mesures.htm#longueurs
Chabas, F., Détermination métrique de deux mesures égyptiennes de capacité, Maisonneuve, Paris, 1867.
Chabas, F., Recherches sur les poids, mesures et monnaies des anciens égyptiens, Imprimerie nationale, Paris, 1876.
Cour-Marty, M.A., Les Textes des Pyramides témoignent du souci de normalisation des anciens égyptiens, N.1, pp. 123-140, Hommages à Jean Leclant, IFAO, Le Caire, 1994.
Ebers, G., Papyrus Ebers, Die maasse und das kapitel über die augenkrankheiten, Hirzel, Leipzig, 1889.
Jomard, E., Mémoire sur le système métrique des anciens égyptiens, contenant des recherches sur leurs connaissances géométriques et sur les mesures des autres peuples de l'Antiquité, Imprimerie royales, Paris, 1817.
Letronne, A.J. et Vincent, A.J.H., Recherches critiques, historiques et géographiques sur les fragments d'Héron d'Alexandrie ou du système métrique égyptien, Imprimerie nationale, Paris, 1851.
[B_374,rvw] CATNYP# *ODC 96-2805
“Die organization des handwerks im ‘Dunklem Zeitalter’ und im 1 Jahrtausend v.u.Z. im ostlichem Mittelmeergebeit/ Michael Heltzer.” Padova, 1992.
See MINOS
below:
See Anglo-Saxon Metrology link below:
http://users.aol.com/jackproot/met/spvolas.html
1. NIST Special Publication 811, 1995 Edition
2. CRC Handbook of Chemistry and Physics 70th edition
3. Oxford English Dictionary
4. Websters New Universal Unabridged Dictionary
5. Units of Measure by Stephen Dresner
6. A Dictionary of English Weights and Measures by Ronald Zupko
7. British Weights and Measures by Ronald Zupko
8. Realm of Measure by Isaac Asimov
9. United States standards of weights and measures, their
creation and creators by Arthur H. Frazier.
10. French weights and measures before the Revolution: a
dictionary of provincial and local units by Ronald Zupko
11. Weights and Measures: their ancient origins and their
development in Great Britain up to AD 1855 by FG Skinner
12. The World of Measurements by H. Arthur Klein
13. For Good Measure by William Johnstone
14. NTC's Encyclopedia of International Weights and Measures
by William Johnstone
15. Sizes by John Lord
16. Sizesaurus by Stephen Strauss
17. CODATA Recommended Values of Physical Constants available at
http://physics.nist.gov/cuu/Constants/index.html
18. How Many? A Dictionary of Units of Measurement. Available at
http://www.unc.edu/~rowlett/units/index.html
All of the above [1-18] via this
link:
http://associate.com/conversion/units.txt
http://www.metrum.org/measures/whystud.htm
See also NEWTON; Sir John Greaves.
See BOECKH
See FAYUM; [B_075=O_002]
Greek bath unit=loutrun=5.81 gal apx=22 liters
(as per EEF; N.
Doyle; 041204)
A couple of years ago I wrote a paper (currently unpublished) on
Egyptian zoomorphic balance pan weights. These [references to works on ancient
weights] will likely be helpful, with bibliographies leading to more specific
material:
Bleiberg, E. 2001. Prices and payment. In The Oxford Encyclopedia
of
Ancient Egypt, 3 vols. (ed. D.B. Redford). Oxford: Oxford University
Press, vol. 3, p. 65-68.
Cour-Marty, M.-A. 1990. Les poids égyptiens, de précieux
jalons
archéologiques. Cahier de Recherches de l'Institut de Papyrologie et
d'Ègyptologie de Lille 12: 17-56
Doll, S.K. 1982. Weights and measures. In Egypt's Golden Age:
The
Art of Living in the New Kingdom, 1558-1085 BC (ed. E. Brovarski, S.K. Doll,
R.E. Freed). Boston: Boston Museum of Fine Arts, pp. 58-62.
Grandet, P. 2001. Weights and measures. In The Oxford Encyclopedia
of Ancient Egypt, 3 vols. (ed. D.B. Redford). Oxford: Oxford University
Press, vol. 3, pp. 493-95.
Petrie, W.M.F. 1926. Weights and Measures. London: Egypt Exploration
Society.
Petruso, K. 1981. Early weights and weighing in Egypt and the
Indus
Valley. Museum of Fine Arts (Boston) Bulletin 79: 44-51.
Pulak, C.M. 1996. "Analysis of the Weight Assemblages from
the Late
Bronze Age Shipwrecks at Uluburun and Cape Gelidonya, Turkey." Dissertation,
Texas A&M University
(as per personal correspondence; G. Westwood; 050004)
http://www.ulg.ac.be/archgrec/aegaeum24.html
METTERNICH: (AE) Stele
NO CATNYP
(as per A.H. Gardiner) similar to P. Turin.
[W_034,rvw] WATSON# 108.1N48 M58 n.s., v. 9, no. 8 (April, 1951) article in MMA Bulletin, Scott, Nora
Elizabeth, "The Metternich Stela".
http://www.touregypt.net/horus.htm
MEYER: (Greek) papyri and ostraca
(as per E. G. Turner) P. Meyer
= Greichische Texte
aus Agypten: i, Papyri des Neutestamentlichen Seminars der Universitat Berlin,
ii, Ostraka der Sammlung Deissmann, ed. P. M. Meyer, Berlin,
1916.
P.Meyer 1. Gesuch von Katökenreitern an das Königspaar:
(Greek; 144 bce; Arsinoite)
http://perseus.csad.ox.ac.uk/cgi-bin/ptext?doc=Perseus%3Atext%3A1999.05.0160
MIBTAHIAH: (Aramaic) archive of
(as per Y. Muffs)
See [W_012], ELEPHANTINE.
Pursue these texts:
J. Euting, “Notice sur un papyrus egypto-arameen,” MAI, II (1903), pp. 297 ff. [publishing
of a related Aramaic deed].
And,
[B_357,OS2,IMG]
CATNYP# *ODF+++(Sayce,
A. H. Aramaic Papyri Discovered at Assuan)
A. H. Sayce and A.
E. Crowley, Aramaic Papyri Discovered at Assuan [ASWAN], / ed. By A. H. Sayce,
with the assistance of A. E. Cowley, and with appendices by W. Spiegelberg
and Seymour De Ricci. (London, 1906).
Arthur Ernest
Cowley.
MICHAELIDAE: (Greek and Latin) papyri
(as per ZPE; D. Fowler) Seek P. Michael. 62, a Greek ~600 CE. set of (math) problems and tables.
Seek “A mathematical tablet”,
Aegyptus [B_371] 33 (1953) 222-40.
[B_371,rvw] CATNYP# *OBH (Aegyptus)
Milan, 1920-1952, 1972-
[B_372,rvw] CATNYP# *OBI 76-1333
“Index of articles volumes 1-50 of Aegyptus 1920-1970 / S. M. E. van Lith.” Amsterdam, 1974.
(as per Duke Univ.)
Papyri Michaelidae, being a
Catalogue of Greek and Latin Papyri, Tablets and Ostraca in the Library of
Mr G.A. Michailidis of Cairo,
ed. D.S. Crawford. Aberdeen 1955. Nos. 1-60 papyri, 61-62 wooden tablets,
63-129 ostraca. For the dispersal of this collection , see ZPE 100 (1994) 223-6 (S. Clackson); Emerita.
Rivista de linguistica y filologia classica 64 (1996) 289 (S. Daris). [o.e.
AUP]
(as per E. G. Turner) P. Michael.
= The Greek Papyri in the collection of Mr. G. A. Michailidis, ed. D. S. Crawford,
London, 1955.
http://millennium.arts.kuleuven.ac.be/lhpc/collections_folder/michailides.html
P.Michael. 7. Private letter, Lysimachos to Sôsios:
(Greek; 147 bce)
http://perseus.csad.ox.ac.uk/cgi-bin/ptext?doc=Perseus%3Atext%3A1999.05.0164
[B_454=O_023,8.5,IMG]
CATNYP# *OBKQ (Michailidis, G. A. Papyri Michaelidae)
Mr G.A. Michailidis of Cairo. Edited with translations and notes
by D.S. Crawford.”
Aberdeen, 1955.
MICHIGAN: (University; Greek) papyri and ostraca
(as per Otto Neugebauer,
W_024, HEIDELBERG)
Seek P# 151, Greek Astronomy (math?).
See this link to the University
of Michigan Papyrus Collection.
http://henry.ugl.lib.umich.edu/pap/
(as per AEB 81.1147) Bruins, Evert M., Reductible
and Trivial Decompisitions Concerning Egyptian Mathematics, Janus, Amsterdam
68, (1981), 281-297.
Re: Mich. XV, Inv. No. 5563a.
[B_373,rvw,SIBL]
CATNYP# *VBA p.v. 1502 [and 1509]
“Nouvelles decouvertes sur les mathematiques babyloniennes; conference faite au Palais de la decouverte le 1er decembre 1951.”
By Evert M. Bruins., Alencon, 1952.
See MCT.
Milan, 1920-1952, 1972-
(as per ZPE; D. Fowler) Seek P. Mich iii 145-7
and xv 686 for;
(math) multiplication and division tables.
See also O. Mich. [inv.] 9733. See ZPE 18, 1975.
See also P. Mich. iii 134. Math.
[B_040, IMG] CATNYP (for HM9
below)# JSP 76-614 (as per M. Gardner) The Akhmim Papyrus,
a Hellene 500 AD to 800 AD papyrus, found along the Nile, was cited by Wilbur
Knorr, Stanford History of Science Department, in:
Historia Mathematica, HM 9, 1982, pp.133-171
"Fraction in Ancient Egypt and Greece.", Toronto, International
Commission on the History of Mathematics.
(The HM text is not available except
at NYPL Science Library).
Above text also includes images of:
P. Michigan 145; n/23
and n/29 tables.
P. Michigan iii 146;
n/(7-10) tables.
(as per E.
G. Turner)
Seek ostraca from Karanis from the University of
Michigan collection.
See O. Mich. = Greek
Ostraca in the University of Michigan Collection, ed. L. Amundsen, Ann Arbor,
1935. See below 2 editions by H. C. Youtie and O. M. Pearl with ostraca.
(as per E. G. Turner) P. Mich.
= Papyri in the University of Michigan
Collection, ed. C. C. Edgar, A. E. R. Boak, J. G. Winter, and others, Ann
Arbor, 1931-47. 8 volumes in 1965, each with its own subtitle. The numerical
sequence was not established till vol. iii. Vol I, Zenon
Papyri, by C. C. Edgar, is often referred to as P. Mich.
Zen.
Vol i, Zenon Papyri,
Nos. 1-120, ed. C. C. Edgar, 1931.
Vol ii, Papyri from Tebtunis,
Nos. 121-8, ed. A. E. R. Boak, 1933.
Vol iii, Miscellaneous Papyri, Nos. 131-221, ed. J. G. Winter
and others, 1936.
Vol iv, pt. I, Tax Rolls from Karanis,
Nos. 223-5, ed. H. C. Youtie 1936.
Vol iv, pt. II, Text Nos. 357-63 and Indexes, ed. H. C. Youtie
and O. M. Pearl, 1939. [ostraca]
Vol v, Papyri from Tebtunis,
pt ii, Nos. 226-356, ed. E. M. Husselman, A. E. R. Boak, and W. F. Edgerton,
1944.
Vol vi, Papyri and Ostraca from Karanis,
Nos. 364-428, ed. H. C. Youtie and O. M. Pearl, 1944. [ostraca]
Vol vii, Latin Papyri, Nos. 167-8, 429-63, ed. H. A. Sanders,
with contributions by James E. Dunlap, 1947.
Vol viii, Papyri and Ostraca from Karanis, Second Series, Nos. 464-521, ed. J. G. Winter and
H. C. Youtie, 1951.
(as per E. G. Turner) P. Mich.
i, = P. Mich. Zen.
http://www.lib.umich.edu/pap/snapshots/paniskos/paniskos
O. Mich.: (Greek; 235-4 bce)
http://perseus.csad.ox.ac.uk/cgi-bin/ptext?doc=Perseus%3Atext%3A1999.05.0033
P.Mich. 1.1. Fragment of an Account: (Greek; 259 bce; Philadelphia)
Small accounts; math; drachmas.
http://perseus.csad.ox.ac.uk/cgi-bin/ptext?doc=Perseus%3Atext%3A1999.05.0163
P.Mich.Aphrod.: Settling a Dispute: Toward a Legal Anthropology
of Late Antique Egypt
P.Mich.Aphrod. 1: (Greek; AD 547; Aphroditopolis)
http://perseus.csad.ox.ac.uk/cgi-bin/ptext?doc=Perseus%3Atext%3A1999.05.0161
P.Mich.Mchl: A Critical Edition of Select Michigan Papyri
(Greek; AD155 ; from Karanis)
http://perseus.csad.ox.ac.uk/cgi-bin/ptext?doc=Perseus%3Atext%3A1999.05.0162
Minor math content.
CATNYP# *OAC (Isis) 1923
“Michigan Mathematical Papyrus No. 621.”
Isis, Volume 5, No. 1, 1923, pages 20-25.
Analysis of Greek unit fractions similar to Achmim
Greek papyri.
MILANESI: (Greek) papyri from the Catholic University of Milan
(as per E. G. Turner) P. Mil. = Papyri Milanesi, vol. i, fasc. I, ed. A. Calderini; fasc. II, ed. S. Davis, Milan, 1928, 1966.
P. Mil. R. Univ.
= Papiri della R. Universita di Milano,
vol. primo, by A. Vogliano, Milan,
1937. Sometimes called P. Primi
or P. R. U. M. to distinguish this from the other Milanese series. Reprint 1966. [PRUM]
P. Mil. Vogliano
= Papiri della Universita degli Studi di Milano
(continuation of P. Mil. R.
Univ.).
P. Mil. Vogliano
ii, Milan, 1961 (many collaborators).
Vol. iii, Milan,
1965 (I. Cazzaniga, M. Vandoni and others).
http://www.igl.ku.dk/~bulow/P301.jpg
(P Mil Vogl.=Sappho fragment=L&P frg. 98)
Pursue active tr. project on Greek P. Bon.
P.Mil. 1.2rptripl.
Sale of a sixth of a palm grove
(Greek; 104 bce; from Pathyris)
http://perseus.csad.ox.ac.uk/cgi-bin/ptext?doc=Perseus%3Atext%3A1999.05.0169
Minor math content.
P. Mil. Congr.
http://perseus.csad.ox.ac.uk/cgi-bin/ptext?doc=Perseus%3Atext%3A1999.05.0165
http://perseus.csad.ox.ac.uk/cgi-bin/ptext?doc=Perseus%3Atext%3A1999.05.0166
http://perseus.csad.ox.ac.uk/cgi-bin/ptext?doc=Perseus%3Atext%3A1999.05.0167
http://perseus.csad.ox.ac.uk/cgi-bin/ptext?doc=Perseus%3Atext%3A1999.05.0168
P.Mil.Vogl. 1.23. Division of inheritance: (Greek; AD 108; Tebtynis)
http://perseus.csad.ox.ac.uk/cgi-bin/ptext?doc=Perseus%3Atext%3A1999.05.0170
No math.
See HIBEH;
[O_008,8.5,IMG]
See plates.
MILESIAN: (Greek) accounting
See UHN: P. 549 re Milesian accounting note the Arabs ~1000 CE astronomical tables Kaf=20 Lam Ha=35
As greeks would use Koppa=20 Lambda Epsilon=35
See also HIBEH; KESKINTO
See UHN: p. 220 note on Milesian Accounts:
Digamma=stigma=old semitic vov=6
koppa=qoppa=old semitic quf=90
san=sampi=semitic tsade=900
See HIBEH; Values noted in HIBEH parapegmata include (stigma and qoppa only)
MIL
1. "Philo, from the Greek colony
of Byzantium, was active in Alexandria
MILL: (AE) papyrus
NO CATNYP
WATSONLINE Yields nothing.
(as per H. Goedicke, Berlin 3024) Seek P. Mill II, 5
(regarding an assassination.)
Mill=Millingen?
MILLINGEN: (AE) papyrus
(as per Y. Koenig) The Millingen Papyrus in ZAS 34, P. 41,
Story of Sinuhe.P.
41. See SINUHE.
WATSONLINE Yields nothing.
(as per LEX) = P. Berlin 3019.
(as per ZAS) The Millingen P. = The Teaching of Amenemhat.
The Millingen
Papyrus in ZAS 34, P. 35-51.
MILO GARDNER: Cryptanalyst and Math Historian
He who introduced me to the RMP [in 1997].Search this site for his name.See also:
MINOR: (Greek) ostraca of various minor collections
O. Minor A1: (Greek; AD 49; from THEBES)
http://perseus.csad.ox.ac.uk/cgi-bin/ptext?doc=Perseus%3Atext%3A1999.05.0034
MINOS: (Minoan culture; Linear A; Linear B…)
See HPM.
(as per M. Gardner) See work by Emmett Bennett, a U. of Wisconsin Minoan specialist, trying to read the Egyptian fractions contained in Linear A:
“Minos and Minyas: Writing Aegean measures,”
published in an Austrian journal:
Akademie der Wissenschaften, Wien [Vienna] 1999.
(as per M. Gardner) Explore link below by Prof. Karl M. Petruso (of the University of Texas at Arlington):
http://www.uta.edu/anthropology/petruso/wts.html
(as per AEB 81.1169) Petruso, Karl M., Early Weights
and Weighing in Egypt and the Indus Valley, Bulletin Museum of Fine Arts,
Boston 79 (1981), 44-51. See METROLOGY.
(as per K. Petruso; re: [B_HOUSE,R_006,NO CATNYP]
“Measuring and Weighing in Ancient Times.”
Published: Haifa, Israel,
2001 by the Reuben and Edith Hecht Museum.)
“I reviewed the Hecht Museum publication
in the London Times Higher
Education Supplement, no. 1522 (Jan.
25, 2002), p. 32.”
Prof. Karl M. Petruso, Anthropology,
UT Arlington
http://www.uta.edu/anthropology/petruso/
(as
per K. Petruso) Pursue the work of John Neal on historical Metrology [NO CATNYP].
MISHNAH KELIM: (detailed Hebrew purification rituals and metrology)
from the TALMUD
See Hebrew Cubits. Eruvin.
M.I.T.: university
MITHRAS: (Greek) liturgy
(as per E. G. Turner) From the collection of Consul Anastasi.
The Mithras Liturgy is part of the great magical codex of Paris (Papyrus 574 of the Bibliotheque Nationale). Presumably compiled in the early fourth century C.E., this codex contains a variety of tractates, hymns, recipes, and prescriptions, which were apparently collected for use in the working library of an Egyptian magician. Lines 475- 834 of this codex constitute the Mithras Liturgy; these boundaries for the Liturgy are suggested by the continuity of thought within the Liturgy, by the punctuation utilized by the scribe, and by the apparent transition to a different section (lines 835-849: astrological calculations). Interestingly, lines 467-474 parallel lines 821-823 and 830-834: thus the Mithras Liturgy is placed between two closely related versions of spells utilizing lines from Homer.
http://www.crystal-owl.com/sibley/mitlit02.htm
MMA: The Metropolitan Museum of Art; The Met., collections
See also WATSON.
http://www.metmuseum.org/special/se_event.asp?OccurrenceId={7ACE74CF-428D-11D4-937C-00902786BF44}
MNAJDRA: Ancient Temple
[Of obscure origin and unusual construction and layout]
See MALTA
MNEMOTRIX: searchtool for more Near East goodies
http://www.mnemotrix.com/arch/
MOABITE: (Phoenician) stone; stelae
AKA MESHA STELE
(as per W. Muss-Arnolt)
See work by J. Oppert.
“…ancient slab of stone erected in850 B.C. by King Mesha of Moab; it contains a long inscription commemorating a victory in his revolt against Israel. It was discovered at Dibon, Jordan (1868), by F. A. Klein, a German clergyman. Although it was later broken when Klein tried to purchase it from the Arabs, most of the fragments were recovered. They are in the Louvre. The language of the Moabites is a Phoenician dialect that represents an early form of Hebrew.”
http://www.encyclopedia.com/printablenew/31488.html
http://geocities.com/ralphklein2001/images/Moabst.jpg
See JEWS; MERNEPTAH.
http://www.ot-studies.com/Documents/divkgdom.htm
"As for Omri, king of Israel,
he humbled Moab many years....and his son [Ahab] followed him."
MODERN CONSTRUCTION: mi labore
http://www.thebluebook.com/_bbbid.htm
Building codes nyc:
See [B_390; KESKINTO]
Sur le
<<modius castrensis>>. Copies of pages 464-5 only.
Modius castrensis versus Modius Ordinaire may be resolved in:
Greichische und romische Metrologie, by Freidrich Hultsch, 1882.
Sextarius castrensis [?]
Define Modius Castrensis; Modius Ordinaire
MOELLER: (Author)
Georg Hermann Moeller 1843-?
(as per everybody)
See Moeller’s “Hieratische Palaogrophie”,
Liepzig, 1927, three volumes.
[B_308,IMG,8.5] CATNYP# *OBR++(Moeller,
G. Hieratische Palaographie)
“Hieratische paläographie. Die aegyptische
buchschrift in ihrer entwicklung von der fünften dynastie bis zur römischen
kaiserzeit.”
Review number
forms and variants. No mathematics.
See Volume 3.
Thanks to E.
Garner for the copies from volume III.
G. Möller, Hieratische Lesestücke, II (1909),
pp. 1-6, 28, 39.
MOMIES: tablets
T.Mom.Louvre: Catalogue des étiquettes de momies du Musée du Louvre
T.Mom.Louvre 1: (Greek; from Bompae)
http://perseus.csad.ox.ac.uk/cgi-bin/ptext?doc=Perseus%3Atext%3A1999.05.0242
MONAC.: (Greek) papyri
(as per E. G. Turner) P. Monac. = Veroffentlichungen aus der Papyrussammlung
der K. Hof- und Staatsbibliothek zu Munchen: Byzantine Papyri, ed. A. Heisenberg
and L. Wenger, Leipzig-Berlin, 1914.
MONSTERS: ooh scary
See MAKOU in HARRIS P.
See AMEMIT in BOTD.
For the [AE] female [MONSTER/GOD]
Bes see also Bosse-Griffiths, K., 1977.
'A Beset Amulet from the Amarna Period' in the Journal of Egyptian Archaeology'
Vol 63.
The collar can be viewed with a low resolution image at:
http://www.swan.ac.uk/egypt/infosheet/beadedcollar.htm
Henry G. Fischer, "The Ancient Egyptian Attitude Towards the
Monstrous,"
Monsters and Demons in the Ancient
and Medieval Worlds. Papers
Presented in Honor of Edith Porada. ed. by A.E. Farkas et al. (Mainz, 1987).
(as per M. Tilgner EEF;
012005)
This passage is translated in J.F. Borghouts, Ancient Egyptian Magical
Texts, Leiden, 1978, pp. 86-87 (text no. 125 = BM 10052, rt. 6, 4-9):
"(A curse against the crocodile Maga)
... Backwards, Maga, son of Seth!
... The finger of the 77 gods is in
your eyes while you are bound to the great landing-pole (nay.t) of Osiris,
while you are bound to the four posts (sxn.t) of Upper Egyptian greenstone
which are at the prow of the bark of Re'..."
MONUMENTS: (neolithic images) of human achievement
http://darkwing.uoregon.edu/~jhurwit/monument.html
MOOK: papyrus
(as per Peet, [B_041b], ABBOTT)
see Papyrus Mook in ZAS.
Go to ZAS I xiii.106, I.5.
MORGENBLATT: fur gebildete leser.
[MORNING PAPER: for educated readers]
See KUNSTBLATT.
AKA MORGENBLATT fur gebildete stande.
Supplements included:
(art journal) Kunstblatt
(smart journal) Intelligenz-blatt
MOSCOW or MOSKAU: (AE; Hieratic; math) papyri
Visit the Moscow (Pushkin) Museum.
Seek P. #4576.
I have a link to a partial tr. and
hieratic image of the MOSCOW Papyrus,
from St. Andrews.
http://www-groups.dcs.st-andrews.ac.uk/~history/Diagrams/Moscow_papyrus.jpeg
Acquired by V.B. Golenischev or Golenischeff and housed in the Moscow Museum of Fine Arts (as of 1923). Published
by Professor Strouwe [Struve] or Professor Turaiev by 1930. See [W_050]
[B_017a,
8.5,NO IMG] CATNYP# OBH+ JEA,
"Four Geometrical Problems from the Moscow Mathematical Papyrus",
Journal of Egyptian Archaeology Volume 15, Nov. 1929, pp 167-184, by Battiscombe
Gunn and T. Eric Peet.
(as per T.E. Peet) see Pap. PETROGRAD 1116A recto.
JEA is also
at Watson Library, MMA, NY.
[B_017a.2,
8.5’s,NO IMG] CATNYP# OBH+ JEA,
Journal
of Egyptian Archaeology Volume 12, 1923
pp 123-137ff, by Battiscombe
Gunn and T. Eric Peet. “Recent Publications”
showing
and abridged intro to [B_092]
A detailed analysis of the contents of [B_092].
References to Spiegelberg’s “Kopt. Handworterbuch.”
Reference to K. Sethe’s; Northampton
“Report on some Excavations in the Theban Necropolis.”
References to T. Deveria’s:
Memoires et Fragments (Bibliotheque Egyptologique)
[B_017b,8.5,NO
IMG,LB] CATNYP as above, See Vol. XVI, p. 242-9, 1930
for Kurt Vogel. See also [B_303]
[B_033,PIX,r05.2]
CATNYP# *OBR+++(Leningrad, E. Papyrus hieratiques) "Les papyrus hieratiques
nono 1115, 1116a et 1116b de l'Ermitage imperial a St. Petersbourg",
by Gosudarstvennyi Ermitazh (Russia), 1913.
This book must be photographed.
[B_028,HOUSE]
CATNYP# JFM 95-854 (see volumes two and three) "Ancient
Egyptian Science: a source book" by Clagett, Marshall, 1989.
This is critical to
any study of the MMP or Rhind P. or Berlin
P 6619 (square roots) or Kahun IV. Images of all are included.
Volume three shows references to AE math analysis by Eisenlohr and Guillemot
and Nims and Schiaparelli…
(as per L. Bailey)
[B_341,8.5,IMG] CATNYP# OEA (Quellen
und Studien zur Geschichte der Mathematik) Bd. 1 – bd. 4.
“Quellen und Studien
[sources and studies of the history of Mathematics] zur Geschichte der Mathematik.
Abteilung A; Quellen.”
Berlin : Verlag von
Julius Springer, 1930.
vol.
1. Otto Neugebauer, J. Stenzel, and O. Toeplitz, editors.
P. 113-119: Von J. J. Perepelkin in Leningrad:
“Die Aufgabe Nr. 62 des mathematischen Papyrus Rhind.”
Gold, Silver, and Lead Deben (rings).
P. 113-119: By Dr. Bibhutibhusan Datta, Univ. Calcutta.
“Origin and History of the Hindu names for Geometry.”
Harpedonaptai sounds Hindi?
P. 300-380: Von O. Neugebauer, Gottingen.
“Arithmetik und Rechentechnik der Agypter.”
(K. Sethe in Verehrung und Dankbarkeit.)
See Berlin P. #6619.
See Cairo wood tablets CG 25367-8
See Kahun P.
See Rhind P.
Amazing detailed analysis of 2n table.
P. 413-450: Von O. Neugebauer, Gottingen.
“Die Geometrie der agyptischen mathematischen Texte.”
See Kahun P. LV.4
See Berlin P. #6619.
See MMP.
See p. 441 for details on the obelisk problem from P. Anastasi I, 14, 8-16, 5.
See also:
P. Anastasi I, 14, 2-14, 8.
P. Anastasi I, 16, 6-17, 3.
Showing partial images of the above.
(as per S. Lorber; W. Knorr) See
work by B. L. Van der Waarden in:
“Die Entstehung
[the emergence] der agyptischen Bruchrechnung.
Quellen und
Studien”, B4, 359-382., See [B_341,rvw again!]
[W_050,rvw] WATSON# 533.6 St8. "Mathematischer
Papyrus des Staatlichen Museums der schonen Kunste in Moskau
/ herausgegeben und kommentiert von W. W. Struve ; unter benutzung einer heiroglyphischen
Transkription von B. Turajeff ; mit 15 Textfiguren und 10 Tafeln. Berlin,
1930.
(also with Turajeff or Turaiev or Touraieff) NO CATNYP.
(as per AEB 95.1152) Rampelberg, Doris, Les Egyptiens anciens s'etaient-ils
trompes...Calculation of triangles.
(as per AEB 95.1155) Robins, Gay, Mathematics, Astronomy, and Calendars in Pharaonic Egypt, in: Civilizations of
the Ancient Near East, III, 1799-1813.
(as per AEB 87.1010) Couchoud, Sylvia, Le nombre pi et les surfaces
rondes dans l'Egypte pharaonic du Moyen Empire, SAK 14 (1987), 35-42.
Pi ~ sqrt10. Seek other work by S. Couchoud,
see ANASTASI.
See [B_114], MOSCOW.
See
also Pi.
See also
1.11. Couchoud, Sylvia.
Mathématiques égyptiennes. Recherches sur les connaissances mathématiques
de l’Egypte pharaonique. Paris: Le Léopard d’Or. 1993.
http://euclid.math.mcgill.ca/volkov/Reading.html
(as per LEX) see P. Moskau
4657, work by CAMINOS, literary fragment.
http://www.mathpages.com/home/kmath189/kmath189.htm
MOSE: (AE; Hieroglyph) inscriptions
of
(as per S. Katary, [B_100])
The inscription of Mose [not Moses]
See “The Memphite Tomb-Chapel of
Mose”, by G.
A. Gaballa,
Warminster, 1977.
Mention of land acquisition/holdings.
Possible math content.
MOUTH: (AE) ceremony of the opening
of the
(as per EEF, Gilberto Modonesi)
The shadow as black body is also present
in Valley of the Kings in the
tomb of the king Seti I (n.17 ), at the bottom of the text
of scene X of the
Opening of the Mouth Ritual. Reference: E. Hornung, The Tomb of
Pharaoh
Seti I - Das Grab Sethos' I, Artemis
Verlag, Zurich und Munchen, 1991,
p. 166, fig. 102.
MOVIEFONE: service
http://www.moviefone.com/help/showtimeshelp.adp
M.P.E.R.: (Greek; math) papyri
(as per ZPE; D. Fowler) Seek many Greek math tables.
See Erzerhog-Rainer, MPER.
(as per E.
G. Turner) P. Mitteilungen Wien, see MPER.
MUNCHEN: (Greek) papyri
AKA P. MON.
See HIBEH; [O_008,8.5,IMG]
MUNCHNER: (Greek) papyri; ostraca
See [B_042]
ABBOTT.
P.Münch.: Die Papyri der Bayerischen Staatsbibliothek München
P.Muench. 1.1. Settlement: (Greek; 574 AD; Syene)
http://perseus.csad.ox.ac.uk/cgi-bin/ptext?doc=Perseus%3Atext%3A1999.05.0171
MUNICH: institute; collections
http://www.fak12uni-muenchen.de/aegyp/index.html
MURASUS: (cuneiform) archive of
See NIPPUR [B_379]
MURRABAT: (Greek) papyri; legal deeds from Nero’s reign
(as per H. Misgav)
[B_HOUSE,R_006,NO CATNYP]
“Measuring and Weighing in Ancient Times.”
Published: Haifa, Israel,
2001 by the Reuben and Edith Hecht Museum.
See Murrabat 18.
See WADI MURABBA’AT
See DJD.
http://perseus.csad.ox.ac.uk/cgi-bin/ptext?doc=Perseus%3Atext%3A1999.05.0172
P.Mur.: Discoveries in the Judaean Desert
MUSIC: is math
http://faculty.washington.edu/snoegel/music.html
See WEAPONS; [B_506c]
See [B_390; KESKINTO; v3]
MUT-HETEP: (AE) funerary papyri of
(as per E.A. Budge) See BOTD.
See P. British Museum 10,010.
MYTHUS: papyrus
(as per AEMT) Seek Demotic P. Mythus at Leiden.
Home | Color Guide | Abbreviation Guide | Personal Library Master key | Usage Guide | Thank You A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W-X | Y-Z