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“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
Erratum:
Bull. Amer. Math. Soc. (N.S.), Volume 10, Number 2 (1984), 351--351
MathSciNet review:
699316
Full-text PDF
References |
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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.
-
Thomas
Heath, Mathematics in Aristotle, Oxford, at the Clarendon
Press, 1949. MR
0029822 (10,667d)
-
Wilbur
Richard Knorr, The evolution of the Euclidean elements, D.
Reidel Publishing Co., Dordrecht, 1975. A study of the theory of
incommensurable magnitudes and its significance for early Greek geometry;
Synthese Historical Library, Vol. 15. MR 0472300
(57 #12003)
-
Wilbur
R. Knorr, Archimedes and the pre-Euclidean proportion theory,
Arch. Internat. Hist. Sci. 28 (1978), no. 103,
183–244 (1979). MR 553444
(81f:01003)
-
Wilbur
Knorr, Aristotle and incommensurability: some further
reflections, Arch. Hist. Exact Sci. 24 (1981),
no. 1, 1–9. MR 618149
(84e:01005a), http://dx.doi.org/10.1007/BF00327712
-
Silvio
Maracchia, Aristotle and incommensurability, Arch. Hist. Exact
Sci. 21 (1979/80), no. 3, 201–228 (Italian,
with English and French summaries). MR 575715
(82f:01008), http://dx.doi.org/10.1007/BF00327874
-
Mueller, I. (1981), Philosophy of mathematics and deductive structure in Euclid's Elements, Cambridge, Mass.
-
O.
Neugebauer, The exact sciences in antiquity, Brown University
Press, Providence, R. I., 1957. 2nd. ed. MR 0090506
(19,825a)
-
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.
-
H.
G. Zeuthen, Die geometrische Construction als
“Existenzbeweis” in der antiken Geometrie, Math. Ann.
47 (1896), no. 2-3, 222–228 (German). MR
1510902, http://dx.doi.org/10.1007/BF01447268
- 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:
http://dx.doi.org/10.1090/S0273-0979-1983-15155-8
PII:
S 0273-0979(1983)15155-8
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