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The Meaning Purpose and Methods of the History of Mathematics and of Logic page
Greek Mathematics before Euclid
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according algebraic already analysis ancient angles appears applied Archimedes Aristotle calculus called Chapter circle concept considered construction contained continuous correspondence curve deal defined definition demonstration Descartes determine elements Enriques equal equation established Euclid exist expressed fact false figure function fundamental geometry give given greater hypothesis ideas important indicate infinite infinitesimal instance interesting interpreted language later less limit logic magnitudes mathematicians mathematics means method natural numbers object observes obtain origin parallels particular passage philosophical plane polygon position possible postulate principle problem properties propositions question rational reasoning refer relation respectively right angles rules segment shows sides signs similar Socrates solution solved space square straight line studied surface symbolism theorem theory things thought triangle true valid write