Page:The Rhind Mathematical Papyrus, Volume I.pdf/158

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142
ARCHIBALD
[1880

W1adimir Golenischeff an, Conservator der Sammlung in der Ermitage in Petersburg." This is the Moscow papyrus described in Turaev (1917).

Dritte Auflage, vol. 1, 1907, pp. 57-81, 85, 91-94, 96-100, 186; and numerous other references in the index under “Ahmes."

Volume 2, 1892, pp. 25, 83.

Zweite Auflage, vol. 2, 1900, pp. 27, 92.

Valuable survey.

Extract translated: F. I. Studnička, "O nejstarším Spisu mathematickém vûbec" [On the earliest mathematical writing], Časopis pro Péstováiní Matematiky a Fysiky, Budapest, vol. 10, 1881, pp. 185-187.

Review by S. Günther, Beilage zur Allgemeinen Zeitung, Tübingen, no. 112, Apr. 22, 1881, pp. 1633-1634.

Review by F. Hultsch, Jahrbücher für Classische Philologie, Leipzig, vol. 26, 1881. pp. 569-573

Sylvester, J. J., "On a point in the theory of vulgar fractions" and "Postscript to Note on a point in vulgar fractions," American Journal of Mathematics, vol. 3, 1880, pp. 332-335, 388-389.

Also in J. J. Sylvester, Collected Mathematical Papers, Cambridge, vol. 3, 1909, pp. 440-445.

Sylvester states that this paper was suggested by the "chapter in Cantor's Geschichte der Mathematik which gives an account of the singular method in use among the ancient Egyptians for working with fractions. It was their curious custom to resolve every fraction into a sum of simple fractions according to a certain traditional method, not leading, I need hardly say, except in a few of the simplest cases, to the expansion under the special form to which I have, in what precedes, given the name of a fractional sorites." Compare Sylvester (1882).

Tannery, P., "Thalès et ses empruntes a l'Égypte," Revue Philosophique de la France et de l'Étranger, vol. 9, 1880, pp. 299-318.

Interesting paper and valuable at the time it was written; published simultaneously with Cantor (1880).

1881

Collignon, E., ["Étant donnée une fraction p/q irreductible et moindre que l'unité, la mettre sous la fonne d'une somme de parties aliquotes de l’unité"], Bulletin de la Société Philomathique de Paris, Paris, series 7, vol. 6, 1881, pp. 88-94.

Paper read Nov. 22, 1881, was, apparently, suggested by Favaro (1879), the only reference given by the author. Among the writers who have treated this subject are the following: Bobynin (1890, 1896, 1899), Hultsch (1895. 1901),