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“La croix des mathématiciens”: The Euclidean theory of irrational lines
Author(s):
Wilbur
Knorr
Journal:
Bull. Amer. Math. Soc.
9
(1983),
41-69.
MSC (1980):
Primary 01A20
Erratum:
Bull. Amer. Math. Soc. (N.S.), Volume 10, Number 2 (1984), 351--351
MathSciNet review:
699316
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References:
- Euclid (1969-73), Elementa, (J. L. Heiberg (ed.)), rev. E. Stamatis, 4 vols., Leipzig (based on the first Heiberg edition, 4 vols., 1883-85).
- Heath, T. L. (1921), A history of Greek mathematics, 2 vols., Oxford.
- Heath, T. L. (1926), The thirteen books of Euclid's Elements, 2nd ed., 3 vols., Cambridge.
- Heath, T. L. (1949), Mathematics in Aristotle, Oxford. Junge, see Pappus (1930). MR 29822
- Knorr, W. R. (1975), The evolution of the Euclidean Elements, Dordrecht, Netherlands. MR 472300
- Knorr, W. R. (1978), Archimedes and the pre-Euclidean proportion theory, Arch. Internat. Hist. Sci., 28, 183-244. MR 553444
- Knorr, W. R. (1981), Aristotle and incommensurability, Arch. Hist. Exact Sci., 24, 1-9. MR 618149
- Maracchia, S. (1980), Aristotele e l'incommensurabilità, Arch. Hist. Exact Sci., 21, 201-228. MR 575715
- Mueller, I. (1981), Philosophy of mathematics and deductive structure in Euclid's Elements, Cambridge, Mass.
- Neugebauer, O. (1957), The exact sciences in antiquity, 2nd ed., Providence, R. I. MR 90506
- Pappus (1876-78), Collectionis quae supersunt (F. Hultsch (ed.)), 3 vols., Berlin.
- Pappus (1930), The commentary of Pappus on Book X of Euclid's Elements (text and translation by W. Thomson; notes and introduction by G. Junge), Cambridge, Mass.
- Proclus (1873), In primum Euclidis Elementorum librum commentarii (G. Friedlein (ed.)), Leipzig. Thomson, see Pappus (1930).
- van der Waerden, B. L. (1963), Science awakening, rev. ed., New York.
- Zeuthen, H. G. (1896), Die geometrische Konstruktion als 'Existenzbeweis' in der antiken Geometrie, Math. Ann., 47, 222-228. MR 1510902
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Additional Information:
DOI:
10.1090/S0273-0979-1983-15155-8
PII:
S 0273-0979(1983)15155-8
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