A History of Mathematics |
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Page 16
... element- ary geometry . But this does not lessen our admiration for the Greek mind . From the moment that Hellenic philoso- phers applied themselves to the study of Egyptian geometry , this science assumed a radically different aspect ...
... element- ary geometry . But this does not lessen our admiration for the Greek mind . From the moment that Hellenic philoso- phers applied themselves to the study of Egyptian geometry , this science assumed a radically different aspect ...
Page 21
... Elements , I. 47 , is due to Euclid himself , and not to the Pythagoreans . What the Py- thagorean method of proof was has been a favourite topic for conjecture . The theorem on the sum of the three angles of a triangle , presumably ...
... Elements , I. 47 , is due to Euclid himself , and not to the Pythagoreans . What the Py- thagorean method of proof was has been a favourite topic for conjecture . The theorem on the sum of the three angles of a triangle , presumably ...
Page 22
... elements of the physical world ; namely , fire , air , water , and earth . Later another regular solid was discovered , namely the dodecaedron , which , in absence of a fifth element , was made to represent the universe itself ...
... elements of the physical world ; namely , fire , air , water , and earth . Later another regular solid was discovered , namely the dodecaedron , which , in absence of a fifth element , was made to represent the universe itself ...
Page 26
... Elements we find the theory of proportion of magnitudes developed and treated independent of that of numbers . The transfer of the theory of proportion from numbers to mag- nitudes ( and to lengths in particular ) was a difficult and ...
... Elements we find the theory of proportion of magnitudes developed and treated independent of that of numbers . The transfer of the theory of proportion from numbers to mag- nitudes ( and to lengths in particular ) was a difficult and ...
Page 33
... Elements carefully designed , both in number and utility of its proofs ; Theudius of Magnesia , who composed a very good book of Elements and generalised propositions , which had been confined to particular cases ; Hermotimus of ...
... Elements carefully designed , both in number and utility of its proofs ; Theudius of Magnesia , who composed a very good book of Elements and generalised propositions , which had been confined to particular cases ; Hermotimus of ...
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60 cents abacus Abel Abelian functions algebra Almagest analysis analytical angles Apollonius applied Arabic Archimedes arithmetic astronomical Berlin Bernoulli Boethius calculus called 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 formula fractions Gauss gave geometry given 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 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