OLD NUMERAL SYMBOLS

15

½, ⅓, ⅔, ¼, each of which had its own symbol. Some of the numeral symbols in Ahmes deviate somewhat from the forms given in the two preceding tables; other symbols are not given in those tables. For the reading of the example in question we give here the following symbols:

An image should appear at this position in the text.To use the entire page scan as a placeholder, edit this page and replace "{{missing image}}" with "{{raw image|A History Of Mathematical Notations Vol I (1928).djvu/35}}". Otherwise, if you are able to provide the image then please do so. For guidance, see Wikisource:Image guidelines and Help:Adding images. |

Fig. 7.—An algebraic equation and its solution in the Ahmes papyrus, 1700 B.C., or, according to recent authorities, 1550 B.C. (Problem 34, Plate XIII in Eisenlohr; p. 70 in Peet; in chancellor Chace’s forthcoming edition, p. 76, as R. C. Archibald informs the writer.)

Translation (reading from right to left):

“10 gives it, whole its, ¼ its, ½ its, Heap No.34
½ ^{1}⁄_{28}¼ ¼½1
1 ^{1}⁄_{14}½ ½3..
^{1}⁄_{14}⅐½5 is heap the together 7 4
¼ ⅐
Proof the of Beginning
^{1}⁄_{14}⅐½5
^{1}⁄_{28}^{1}⁄_{14}¼½2 ½
⅛¼ Remainder ⅛½9 together ^{1}⁄_{56}^{1}⁄_{28}⅛¼1 ¼
14 gives ¼ ^{1}⁄_{56}^{1}⁄_{28}^{1}⁄_{28}^{1}⁄_{14}^{1}⁄_{14}⅐
21 Together .7 gives ⅛ 1 2 2 4 4 8”