A History of Greek Mathematics, Volume 1

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Cambridge University Press, 21 nov. 2013 - 468 pages
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'If one would understand the Greek genius fully, it would be a good plan to begin with their geometry.' As early as the sixth century BCE, Thales of Miletus used geometrical principles to calculate distance and height. Within a few hundred years, Euclid had produced his seminal Elements, which was still used as a textbook when this two-volume work was first published in 1921. A distinguished civil servant as well as an expert on ancient Greek mathematics, Sir Thomas Little Heath (1861-1940) includes here sufficient detail for a modern mathematician to grasp ancient methodology, alongside explanatory sections aimed at classicists. This remains a rigorous and essential exposition of a vast topic. Volume 1 includes an introduction that touches on the conditions which made possible the rapid development of philosophy and science in ancient Greece. The coverage begins with Thales and ends with Euclid.
 

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Table des matières

INTRODUCTORY PAGES 125
1
GREEK NUMERICAL NOTATION AND ARITHMETICAL
26
Fractions
41
a Rightangled triangles with sides in
79
two cubes
89
THE EARLIEST GREEK GEOMETRY THALES
118
PYlHAGOREAN GEOMETRY
139
t10n of quadratic equations
151
Recapitulation
165
PROGRESS IN THE ELEMENTS DOWN TO PLATOS
170
SPECIAL PROBLEMS 218270
218
A Approximation to a solution by plane methods only 268270
268
PLATO 284315
284
K FROM PLATO TO EUCLID 316353
316
A lost textbook on Sphaeric l 349350
349
7879
408

e The five regular solids
158

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