Page:The Rhind Mathematical Papyrus, Volume I.pdf/172

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156
ARCHIBALD
[1894

fünfzgjährigen Doctorjubiläum gewidmet von der Historischen Gesellschaft zu Dresden, Leipzig, 1894, pp. 39-56.

Thorough study of the problem, philological and otherwise. Brief references to the Rhind papyrus, pages 44, 54, 56.

Gloria, G., "Studi intomo alla logistica greco-egiziana," Giornale di matematiche di Battaglini, vol. 32, 1894, pp. 28-57.

Discusses breaking up fractions of the form 2/(2n + 1) into a sum of two to four fractions with unity in the numerator. The author believes that he has discovered new points of view more in accordance with the methods of the Rhind papyrus. See criticisms of this work by Hultsch (1895). Compare Collignon (1881).

Wilske, K., "Über Arithmetik und rechnende Geometrie der alten Ägypter um 2000 vor Christus," Mittelschule (und höhere Mādchenschule). Zeitschnft für die gesamten I nteressen des deutschen Mittelschulwesens . . . , Halle, vol. 8, 1894, pp. 345-356, 365-374, 335-394, 405-412.

1895

Gegenbauer, L., "Die Mathematik der alten Ägypter," Die Aula. Wochenblatt für die akademische Welt, Munich, vol. 1, 1895, cols. 11-1115, 142-148.

Hultsch, F., "Die Elemente der ägyptischen Theilungsrechnung. Erste Abhandlung," Abhandlungen der philologisch-historischen Classe der königlich-sächsischen Gesellschaft der Wissenschaft, Leipzig, vol. 17, no. 1, 1895, 192 pp.

Valuable memoir. Contents: Introduction, pages 3-15;

I. The Egyptian number system, etc., 16-29;
II. Half as an arithmetic notion, etc. [various fractional forms], 29-47;
III. Division in the papyrus replaced by multiplication, etc., 48-55.
IV. Survey of cases where members of the increasing series of numbers are used in the plural, etc., 55-66.
V. Trial multiplication as substitute for division, 66-90.
VI. The theory of division, 91-110.
VII. The summation of unity parts, 110-145.
VIII. The theory of partition (Zerlegung), 146-175.
IX. Survey of the “table of Ahmes” and the solution for each problem, 175-187. He concludes on page 187, with the following paragraphs:

"Diese Methoden darzustellen wird die Aufgabe einer zweiten Abhandlung[1]

  1. Never published; Hultsch died in 1906. For a biography and list of his writings see F. Rudio’s “Friedrich Hultsch," Bibliotheca Mathematica, series 3, vol. 8, 1908, pp. 325-402.