Professor Turaev left at least the first draft of a hieroglyphic transcription of 36 out of the 38 columns of the Golenishchev papyrus; he had not attempted to deal with the 8 fragments. This transcription, so far as five of its problems are concerned, was published in Tsinserling (1925). Dr. V. Struve of the Hermitage Museum, Leningrad, is to edit and complete Turaev's transcription and prepare a German translation. This, together with a facsimile of the papyrus, and a mathematical commentary by Professor Tsinserling will probably be published by the Academy of Sciences, Leningrad, early in 1928.
Turaev remarked that paleographically the papyrus is "like some of the Illahun papyri, whilst the breadth of its leaves brings it near to the MSS. of Sinuhe, found in the Ramesseum." Hence an approximate date for the papyrus would be about 1850 B.C.
The results of Turaev (1917) were first brought to the attention of mathematicians in an address I delivered at Cleveland, Ohio, in September, 1922. This part of Ancient Egypt was there exhibited.
Sedgewick, W. T., and Tyler, H. W., A Short History of Science, New York, 1917.
"The Ahmes papyrus," pp. 30-34; of no importance in this connection.
1918
Archibald, R. C., "The oldest mathematical work extant," American Mathematical Monthly, vol. 25, January 1918, pp. 36-37.
Descriptive notes, with brief bibliography, of the Rhind papyrus; of no importance. While the statement in these notes that “any approximately complete bibliography should contain more than forty titles" is accurate, a more correct impression would have been conveyed by the substitution of the words 1two hundred" for the word "forty." In the light of the chronological list of documents at the end of the present Bibliography it is clear that the title of the article is also misleading.
Sethie, K. H., "Ein altägyptischer Fingerzählreim," Zeitschrtft für Ägyptische Sprache . . . , vol. 54, 1918, pp. 16-39.
Finger numbering in the Book of the Dead, introduction to no. 99, edited by E. Naville; the new edition of this part by H. Grapow (Urkunden des Aegyptischen Altertums, Leipzig, section 5, part 3, 1917, pp. 146-180) was based on XIIth
A1 and A2 being the areas of the bases, seems to have been first given by Leonardo Pisano in his 'Practica geometriae' of 1220 (Scriui di Leonardo Pisano . . ., Rome, vol. 2, 1862, p. 174). Of course the formula was there expressed in words, not in letters.Heron of Alexandria (third century A.D.?) found the volume of a frustum of a pyramid for which a1 = 10, a2 = 2, h = 7 (Heronis Alexandrini Opera quae supersunt omnia, Leipzig, vol. 5, 1914, pp. 30-35). His operations are equivalent to substituting in the formula . which reduces to the formula of the Golenishchev papyrus. Compare Grenfell (1903).
![{\displaystyle \scriptstyle V=h\left[\left({\frac {a_{1}+a_{2}}{2}}\right)^{2}+{\frac {1}{3}}\left({\frac {a_{1}+a_{2}}{2}}\right)^{2}\right]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/69ab7babe36e357f6d2c266c8fff3b61b2a44913)
