Page:The Rhind Mathematical Papyrus, Volume I.pdf/186

170 supposed that the folios missing before folio 1 contained tables for the products of 1, 2, 3, 4, 5, 6, by the same series of numbers. The second set of tables (folios 6a—8b) gives the products of 1, 2, 3. . . . . 10, 20, 30, . . ., 100, 200,. . ., 1000, 2000, . . .,10000 by ½, ⅔, ⅓, ¼, $1/undefined$, $1/undefined$, $1/undefined$,$1/undefined$,$1/undefined$,$1/undefined$, $1/undefined$, $1/undefined$, $1/undefined$, $1/undefined$, $1/undefined$. The second to the tenth of these latter tables are identical with the corresponding tables in Baillet (1892); the rest of these tables, as well as the ﬁfteenth and sixteenth tables, do not occur in Baillet (1892). In addition to these tables there are 80 problems (folios 9a-13b). Of these 18 relate to a measure of land; 39 to measures of capacity, 15 to a corn measure and 8 to a liquid measure. None of these problems are translated and only some of them have been transcribed.

,"Zur égyptischen Mathematik," Archiv der Mathematik und Physik, series 3, vol. 9, 1905, pp. 102-103.

Mostly concerning the value of π in the Rhind papyrus; references to Borchardt (1897) and Griffith (1897).

1906

, "Méthode expérimentale dans la science des nombres et principaux résultats obtenus," L'Enseignement Mathématique, vol. 8, 1906, pp. 177-190.

The method of "false position" (regula falsi) illustrated by examples from the Rhind papyrus, nos. 24, 31-34, 40, pp. 177-179, 185-189, from Leonardo Pisano's Liber Abaci: also from Russian mss. and arithmetics of the seventeenth and eighteenth centuries.

, "Calculs Egyptiens du moyen—empire," Recueil de Travaux relatzfs à l'Archéologie Égyptiermes et Assyriennes, Paris, vol. 28, 1906, pp. 62-72.

Detailed discussion of the tablets first described in Brugsch (1891) and catalogued in Daressy (I901). The Tablets are made of wood covered on both sides with a layer of polished plaster to take the writing which is in black ink in the hieratic script. Each tablet measures about 18 by 10 inches. They are said to have been found at Akhmim and to date from about 2000 B. C. They give lists of servants and ﬁve mathematical calculations for expressing parts of a hekat in terms of known measures. Slips made by Daressy were noted by Möller (1911); but the definitive interpretation given by Peet (1923, 1), with comment by Gunn I926 [1923], showed how fundamentally wrong was that of Daressy. Refers to Eisenlohr (1877), Baillet (1892).

, "Four papyri of the 18th dynasty from Kahun," 'Zeitschrift für Ägyptische Sprache. . ., vol. 43, 1906, pp. 27-47.

On pages 46-47 there is a very important section for clearing up the difficulty of no. 62, in the Rhind papyrus, for which Griffith (1892) proposed three possible