Page:The Rhind Mathematical Papyrus, Volume I.pdf/191

1912] General sketch with reference to Eisenlohr (1877), Rodet (1878. 1881), and Baillet (1892). These pages are included in the étude: "Les origines des sciences mathématiques dans les civilizations orientales et Égyptienne: l'apport del'orient dans la science Grecque" (pp. 41-133). With regard to the chapter the author remarks: "Je reproduis ici, à trés peu près telles que je les avis présentées il y a dix-huit ans, deux de mes 'Leçons sur les Origines de la Science grecque' dont le recueil est épuisé depuis longtemps." Compare Milhaud (1893).

, "Die Zeichen für die Bruchteile des Hohlmasses und das Uzatauge. Mit einem Nachtrag [Die sechs Teile des Horusauges und der 'sechste Tag']" von H. Junker. Zeitschfit für Ägyptische Sprache. . . ,vol. 48, 1911, pp. 99-106.

Incidentally notes the Horus eye symbols in Daressy (1906), but wholly fails accurately to rectify him as Feet (1923, 1) and Sethe (1916) made clear. The principal unit for measure of capacity is the hekat; $1/undefined$ of a hekat is a ro. There are two ways of expressing parts of a hekat: (a) In ros and fractional parts of a ro if necessary; (b) In a series of fractions whose denominators are powers of 2 down to $1/undefined$, smaller portions being expressed in ros and parts of a ro in the ordinary fractional form. It is in expressing the fractions whose denominators are powers of two in this second method that the Horus-eye notation is used in hieratic writing of mathematical and medical oontent. This occurs in problems 35, 37, 38, 43, 47, 64,, 66, 68, 69, 70, 71, 75, 80, 81, 82, 83, and 84 of the Rhind papyrus. According to mythological tradition the Uzateye or eye of Horus was lost in a battle with Seth and torn into parts, the following six of which were found: the right white of the eye, the pupil, the brow, the left white of the eye, and the two markings below the eye, the curved and the perpendicular, corresponding respectively to the fractions $1/undefined$, $1/undefined$,. ., and $1/undefined$. Added, this series gives $63/64$. The missing part was supplied in a wonderful manner. This description applies to writing from right to left. Although all the pages of volume 48 of the Zeitschrift are dated 1910 the volume was published as a single number in May, 1911.

1912

, "Le calcul égyptien. Un probléme d’Ahmès," Les Étapes de la Philosophie Mathématique, Paris, 1912, pp. 26—32.

Number 40 of Eisenlohr (1877), one of the two problems of the papyrus involving an arithmetic progression.

, Ziffern und Ziffemsysteme der Kulturvölker in Alten und Neuen Zeit, (Mathematische Bibliothek, no. I), Leipzig, 1912, 93 pp.

Zweite neu bearbeitete Auﬂage, Teil I, 1918, 52 pp.