“La croix des mathématiciens”: The Euclidean theory of irrational lines
Author:
Wilbur Knorr
Journal:
Bull. Amer. Math. Soc. 9 (1983), 41-69
MSC (1980):
Primary 01A20
DOI:
https://doi.org/10.1090/S0273-0979-1983-15155-8
Erratum:
Bull. Amer. Math. Soc. (N.S.), Volume 10, Number 2 (1984), 351--351
MathSciNet review:
699316
Full-text PDF
References | Similar Articles | Additional Information
-
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:
https://doi.org/10.1090/S0273-0979-1983-15155-8