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 GENERAL INDEX

Headings of the subdivisions of the Introduction and Free Translation are not given here. A few references are given to matters of interest in the Bibliography, but names of authors and publications and a fuller list of subjects will be found in the indices to the Bibliography itself.

‘aha‘, quantity, 25. akhet, season of inundation, 44. A'h-mosè, 1, 41. Akhmtm papyrus, 7, 9. Amenemhet III, 1. Amenhotep I, 46. Arabs, used false position, 10, 13; unit fractions, 10. Archibald, on the Egyptian's interest in mathematics for its own sake, 43. Areas, of a circle, trapezoid, triangle, 36; the rectangle equivalent to a given triangle or trapezoid, 37; question of altitude or side of a triangle or trapezoid, Sethe's opinion, Gunn’s theory, 36, 37, 183; area of a quadrilateral, 132, 162; areas in the Golenischev papyrus, 187.

Arithmetic, integers and reciprocal numbers, 3; concrete and abstract numbers, see Multiplication; see also Completion, Division, False position, Fractions. 'A-user-Rê', 1. Babylon, tables, 40, see 171; geometry, diagonal of a rectangle, 177; geometrical ﬁgures, 181. Bloc extractif, 9. Bobynin, on the Rhind papyrus, I72. Borchardt, argument on the lines in a pyramid. 37.

Circle, area, 35, 36. Completion, 13; second step in multiplication of the second kind, 5; term used by mistake before Problems 7-20; 13, 23. Coptic writing, 1. Cubit, determined by Sir Isaac Newton, 127; see Measures of length; Cubit-strip, 33. Cylinder, volume, 35; two methods of determining it in khar, 88; see also 159, 167.

Demotic writing, 1. Diophantus, used false position, 13. Division, multiplication problems of the second kind, in which the multiplicand and product are given, 5; problems in which the multiplier and product are given, 6, 7; see Multiplication. Division of 2 by odd numbers, the same as multiplying their reciprocals by 2: 13, 18; is a multiplication of the second kind, 14; solution generally regarded as proof, theory of Peet, Hultsch, 14; classification of solutions, 16; discussion by Sylvester, Loria, 15; third step in the solution, Gunn's theory of the way of writing this, 17; the process of Leonardo of Pisa, 134, 150; the word "find" used in the more difiicult cases, 20.

Division of the numbers 1-9 by 10, table, how derived, 22-23.

Ebers papyrus, 46. Egyptians compared with the Greeks, 39; their mathematical knowledge, 39; they