Abstract
The Greeks generally assumed that mathematics had its origin in Egypt. For instance, Aristotle writes (Metaphysics A 1)1: “Thus the mathematical sciences originated in the neighborhood of Egypt, because there the priestly class was allowed leisure.” Herodotus, who knew Egypt better, looked at the more practical side of the matter. When the Nile had flooded an agricultural tract, it became necessary for the purpose of taxation, to determine how much land had been lost; “from this, to my thinking, the Greeks learned the art of measuring land” (Herodotus II 109). And Democritus writes: “No one surpasses me in the construction of lines with proofs, not even the so-called called rope-stretchers among the Egyptians.” The rope-stretchers (“harpedonaptai”), to whom Democritus here refers, are probably surveyors, whose principal measuring instrument is everywhere the stretched cord.2
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Reference
See S. Gandz, Die Harpenodapten, Quellen und Studien zur Geschichse der Mathematik, B I, 255.
See the excellent edition of T. E. Peet. The Rhind Mathematic Papyrus. London. 1923.
Griffith, Hieratic Papyrus from Kahun and Gurob, London 1898, p. 15, Plate VIII.
O. Neugebauer, The exact sciences in antiquity. Princeton. New Jersey, 1952, p. 79.
See K. Sethe, Von Zahlen und Zahlwörtern bei den alten Ägyptern und was für andere Volker und Sprachen daraus zu lernen ist, Schrifen der wissenschaftlichen Gesellscaft, Strassburg, 1916.
O. Neugebauer, Arithmetik und Rechentechnik der Ägypter, Quellen und Studien, B I, p. 301.
See Plate 3. Also A. B. Chace, The Rhind Mathematical Papyrus, Ohio 1929.
Schack—Schackenburg, Ag. Z. 38 (1900), p. 138 and 40(1900), p. 65.
O. Gillain, Larithmétique au Moyen Empire, Brussels, 1927.
O. Neugebauer and A. Volten, Quellen und Studien, B$, p. 303; O. Neugebauer, Trans. Amer. Philos. Soc. 32 (1942), p. 209; B. L. v. d. Waerden, proc. Royal Acad. Amstradam 50 (1947), pp. 536 and 782.
Lepsius, Abh. Preuss. Akad. Wiss., Berlin, 1855; philos.—hist. Abteilung, p. 69.
S. Gandz, The Mishnat ha-Middot, Quellen und Studien A 2, p. 48.
W. W. Struve, Mathematischer Papyrus des Museums in Moskau, Quellen und StudienA 1 (1930), p. 157.
T. E. Peet, Journal of Egyptian Archaeology. 17, p. 154.
O. Neugebauer, Vorgriechische Mathematik, p. 136.
M. Cassina, Periodico di Matematica(4a Seria), 22(1942), pp. 1 – 29.
See K. Vogel, Griechische Logistik, Sitzungsberichte der bayerischen Akademie, München, 1936, pp. 357 – 472.
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Van Der Waerden, B.L. (1975). The Egyptians. In: Science Awakening I. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1379-0_1
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