A History of Mathematics |
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Page 16
... relations , and loved science as science . Our sources of information on the history of Greek geometry before Euclid consist merely of scattered notices in ancient writers . The early mathematicians , Thales and Pythagoras , A full left ...
... relations , and loved science as science . Our sources of information on the history of Greek geometry before Euclid consist merely of scattered notices in ancient writers . The early mathematicians , Thales and Pythagoras , A full left ...
Page 21
... relations which admitted of arithmetical expression . Like Egyptian geometry , the geometry of the Pythagoreans is much concerned with areas . To Pythagoras is ascribed the important theorem that the square on the hypotenuse of a right ...
... relations which admitted of arithmetical expression . Like Egyptian geometry , the geometry of the Pythagoreans is much concerned with areas . To Pythagoras is ascribed the important theorem that the square on the hypotenuse of a right ...
Page 38
... relations of the pyramid , prism , cone , cylinder , and sphere . The thirteenth treats of the regular polygons , especially of the triangle and pentagon , and then uses them as faces of the five regular solids ; namely , the tetraedron ...
... relations of the pyramid , prism , cone , cylinder , and sphere . The thirteenth treats of the regular polygons , especially of the triangle and pentagon , and then uses them as faces of the five regular solids ; namely , the tetraedron ...
Page 54
... relations between peoples of the East and of the West ; the gradual decline of paganism and spread of Christianity , - these events were of far - reaching influence on the progress of the sciences , which then had their home in ...
... relations between peoples of the East and of the West ; the gradual decline of paganism and spread of Christianity , - these events were of far - reaching influence on the progress of the sciences , which then had their home in ...
Page 67
... relations or analogies between numbers and the phenomena of the universe . Being convinced that it was in numbers and their relations that he was to find the foundation to true philosophy , he proceeded to trace the origin of all things ...
... relations or analogies between numbers and the phenomena of the universe . Being convinced that it was in numbers and their relations that he was to find the foundation to true philosophy , he proceeded to trace the origin of all things ...
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Common terms and phrases
60 cents abacus Abelian functions algebra Almagest analysis analytical angles Apollonius applied Arabic Archimedes arithmetic astronomical Berlin Bernoulli Boethius calculus Cambridge Cauchy Cayley century circle Clebsch College conic sections contains Crelle's Journal cubic curve degree Descartes determine differential calculus differential equations Diophantus discovery Edition Egyptian elasticity Elementary Treatise elliptic functions Euclid Euclid's Elements Euler expressed Fermat fluxions fractions Gauss gave geometry given gives Greek Hindoo infinite integral invention investigations Jacobi John Bernoulli known Lagrange Laplace Legendre Leibniz linear lines logarithms mathe mathematicians mathematics matical mechanics memoir method motion Newton notation paper Pappus Paris plane polygon principle problem professor progress proof published pupil Pythagoreans quadratic quadrature quantities ratio researches Riemann roots sexagesimal solids solution solved spherical square surface symbol synthetic geometry tangents theorem theory of numbers theta-functions Thomson tion translated triangle trigonometry variable Vieta Wallis writings wrote