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TABLE OF CONTENTs ix
The Pythagorean School
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algebra analysis analytical geometry angle Apollonius Arabs Archimedes arithmetic astronomy Athenian school Bernoulli born Brahmagupta Cambridge Cantor centre century chapter chieﬂy circle coeﬁicients conﬁned conic conic sections contains cube cubic equation curve deﬁnition denote Desargues Descartes died differential differential calculus diﬁiculty Diophantus discussed earliest edition enunciated equal equation Euclid Euler Fermat ﬁfth ﬁgure ﬁnally ﬁnd ﬁnding ﬁrst ﬁve ﬁxed ﬂuxions gave geometricians given Greek Greek mathematics Hipparchus Huygens inﬁnite inﬁnitesimal calculus inﬂuence integral introduced invention John Bernoulli known later lectures Leibnitz logarithms London mathe mathematicians mathematics mechanics mentioned method motion Newton notation obtained Paris Pascal philosophy plane probably problem proof propositions Ptolemy published Pythagoras quadrature ratio Regiomontanus roots rule scientiﬁc shewed solution solved square suﬁicient symbols tangent Tartaglia text-books theorem theory tion translation treatise triangle trigonometry unknown quantity Vieta volumes Wallis writers written wrote