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1891]
BIBLIOGRAPHY OF EGYPTIAN MATHEMATICS
151

Jarolimek, A., "Der mathematische Schliissel zu der Pyramide des Cheops," Wochenschrift des österreichischen Ingineur- und Architekten- Vereines, Vienna, 1890, pp. 187-189, 195-198, 203-206.

Compare Jarolimek (1910).

1891

Bugsch, H. K., Die Aegyptologie. Abriss der Antzzflerungen und Forschungen auf dem Gebiete der Aegyptischen Schrzft, Sprache und Alterthumskunde, Leipzig, 1891, 8 + 535 pp.

Neue billige Ausgabe, Leipzig, 1897, 8 + 535 pp.

"Rechenkunst und Mathematik," pp. 366-370; "Die Metrologie," pp. 370-384. Refers to Eisenlohr (1875 and 1877), Erman (1885), and Lepsius (1884).

Brugsch, H. K., "Die ältesten Rechentafeln der Welt," 'Die Vossische Zeitung, Berlin, Sept. 2o and 27, 1891 (nos. 439 and 451), Sonntagsbeilage (nos. 38 and 39).

Reprinted in H. Brugsch, Aus dem Morgenlande. Altes und Neues, (Reclam’s Universal-Bibliothek, nos. 3151-3152), Leipzig, 1893, pp. 25-43, under the title: "Die älteste Rechenkunst."

Pages 25-31 are taken up with a survey of arithmetic and geometric knowledge of the ancient Egyptians, and pp. 32-35 with an account of the Rhind papyrus. While Brugsch sets (p. 35) the date of the Rhind papyrus between 1800 and 2000 B. C., he describes (pp. 36-42) [compare Cantor (1880), 3. Aufl., p. 74] two tablets on wood which he discovered in April, 1891, in the Museum at Gizeh (now the Egyptian Museum, Cairo), and which date back to the 11th or 12th dynasties, that is, to about 2000 B. C. It is these tablets which Brugsch calls "die ältesten Rechentafeln der Welt." These are also the tablets catalogued in Daressy (1901).

Review by F. J. Van den Berg, "De oudste rekentafels der Wereld," Nieuw Archief vaar Wiskunde, Amsterdam, vol. 19, 1892, pp. 211-215.

Erman, A.,"Miscellen. Ein Datum," Zeitschrift für Ägyptische Sprache . . ., vol. 29, 1891, pp. 59-60.

Eisenlohr (I877) remarked that no. 87 of the Rhind papyrus did not appear to belong to the papyrus but was possibly a piece of a journal in which the most important happenings were noted. In the above note Erman gave the first translation of the entries regarding the weather and showed their import. Griffith 1894 [1891], pp. 245-246 gives a complete transcription and translation of no. 87 with comment. In Möller (1909), p. 18 the opinion is expressed that nos. 86 and 87 were somewhat later in date than the earlier numbers, and possibly originated from the same hand. Petrie's “A seasonal date of the Hyksos period," a one-page leaflet in his Historical Studies (British School of