Page:The Rhind Mathematical Papyrus, Volume I.pdf/203

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1925]
BIBLIOGRAPHY OF EGYPTIAN MATHEMATICS
187

déen," occupying[1] pages 28-33 of the above mentioned volume of the Revue, which develops new facts and points out slips due to false assumptions in these publications of both of the authors. The tablet, found at Tello, Arabia, andnow in the Ottoman Museum, Constantinople, is a plan of a great field. The figure is divided into 15 parts: 7 right-angled triangles, 4 rectangles (nearly), and 4 trapezia (one side always perpendicular to the parallel sides), along the sides of which lengths are written; areas are also indicated in each figure. For the area of a trapezium the equivalent of the following formula is evidently used: one half the sum of the lengths of the parallel sides times the distance between them.

Tsinerling, D. P., "Geometriya u drevnikh egiptyan" [Geometry in ancient Egypt], Bulletin de l'Aa1dém£e des Sciences de 1' Union des Republiques Soviétiques Socialistes, Leningrad, series 6, vol. 19, 15 September—1 November, 1925, pp. 541-568.

This paper was presented to the Academy by Turaev on April 16, 1919, probably in somewhat different form. In rather long—drawn—out fashion some earlier work in connection with the topic of the paper, [2] chiefly by Eisenlohr, Cantor, Bobynin, and Lepsius, is summarized. No account is taken of Peet's book or of other earlier and later important material indicated in this Bibliography. About 13 pages of Tsinserling's paper are occupied with a discussion of nos. 51-52 of the Rhind papyrus and an attempt is made to prove that Revillout (1881) was correct in believing that we must here consider that a right triangle and a right-angled trapezium are in question. It is incorrectly stated (p. 544) that Schack-Schackenburg (1899) suggested that no. 43 of the Rhind papyrus dealt with the frustum of a cone. A wrong reference is given to Turaev (1917), and there are various other slips.

The only new things to be found in the article are: (a) Turaev's hieroglyphic transcription of four problems (I, 2, I2, 15) of the Golenishchev papyrus, three of which are geometrical, and the Russian translation of the same; (b) Turaev's description of this papyrus containing 38 columns of writing and drawings on 8 pieces and 8 fragments totalling 5.44 meters in length; (a) facsimiles of the parts of the Golenishchev papyrus discussing problems 1 and 12; (d) the Russian translation of the truncated pyramid problem (9) given in Turaev (1917); (e) notes to these problems (I, 2, 9, 12, 15) by V. V. Struve; (f) the statement that on a fragment of the Golenishchev papyrus there is a triangle problem similar to that of no. 51 of the Rhind papyrus.

We have already referred, Turaev (1917), to the Golenishchev papyrus giving

  1. This article is practically the same as the one published by Oppert a year earlier: "Un cadastre chaldéen du quatrieme millénium avant l'ére chrétienne," Académie des Inscriptions et Belles-Lettres, Comptes Rendus, series 4, vol. 24, 1896, pp. 331-348; there are here interesting details not in the later article.
  2. There are references to: Baillet (1892), Blume 1848 [1856], Bobynin (1882, 1905, 1909), Borchardt (1893, 1897), Cantor 1907 [1380], Eisenlohr (1877), Griffith (1397), Lepsius (1856), Revillout (1881), Schack-Schackenburg (1899, 1900), Simon (1909), Tropfke 1903 [1902], Turaev (1917), Weyr (1884).