A Manual of Greek Mathematics

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Courier Corporation, 1931 - Mathematics - 552 pages
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User Review  - Erik - Goodreads

Magnificent. Great way to learn Greek math, while still maintaining some historical rigor. Highly, highly recommended. This would be a great text for students, to instill a lifelong love of math ... Read full review

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Contents

INTRODUCTORY
1
NUMERICAL NOTATION AND PRACTICAL CALCULATION
11
PYTHAGOREAN ARITHMETIC
36
THE EARLIEST GREEK GEOMETRY THALES
73
PYTHAGOREAN GEOMETRY
92
PROGRESS IN THE ELEMENTS DOWN TO PLATOS TIME
112
SPECIAL PROBLEMS
139
FROM PLATO TO EUCLID
171
ARCHIMEDES
277
CONIC SECTIONS APOLLONIUS OF PERGA
347
THE SUCCESSORS OF THE GREAT GEOMETERS
377
TRIGONOMETRY HIPPARCHUS MENELAUS AND PTOLEMY
393
MENSURATION HERON OF ALEXANDRIA
415
PAPPUS OF ALEXANDRIA
434
ALGEBRA DIOPHANTUS OF ALEXANDRIA
466
COMMENTATORS AND MINOR WRITERS
510

EUCLID
202
ARISTARCHUS OF SAMOS
270

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Page 3 - ... certain definite stages in its development, with the intervals separating them. In Thales's time (about 600 B. c.) we find the first glimmerings of a theory of geometry, in the theorems that a circle is bisected by any diameter, that an isosceles triangle has the angles opposite to the equal sides equal, and (if Thales really discovered this) that the angle in a semicircle is a right angle.
Page 2 - To be a Greek was to seek to know; to know the primordial substance of matter, to know the meaning of number, to know the world as a rational whole. In no spirit of paradox one may say that Euclid is the most typical Greek : he would fain know to the bottom, and know as a rational system, the laws of the measurement of the earth.

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