A History of Mathematics |
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Page v
... complete . Many valuable suggestions and criti- cisms on the chapter on " Recent Times " have been made by Dr. E. W. Davis , of the University of Nebraska . The proof - sheets of this chapter have also been submitted to Dr. J. E. Davies ...
... complete . Many valuable suggestions and criti- cisms on the chapter on " Recent Times " have been made by Dr. E. W. Davis , of the University of Nebraska . The proof - sheets of this chapter have also been submitted to Dr. J. E. Davies ...
Page 2
... complete failures . " But progress was made on this problem by approaching it from a different direction and by newly discovered paths . Lambert proved in 1761 that the ratio of the circumference of a circle to its diameter is incom ...
... complete failures . " But progress was made on this problem by approaching it from a different direction and by newly discovered paths . Lambert proved in 1761 that the ratio of the circumference of a circle to its diameter is incom ...
Page 57
... complete are the proposi- tions in spherical trigonometry . The fact that trigonometry was cultivated not for its own sake , but to aid astronomical inquiry , explains the rather startling fact that spherical trigonometry came to exist ...
... complete are the proposi- tions in spherical trigonometry . The fact that trigonometry was cultivated not for its own sake , but to aid astronomical inquiry , explains the rather startling fact that spherical trigonometry came to exist ...
Page 62
... complete want of general principles and methods . Ancient geometry is decidedly special . Thus the Greeks possessed no general method of drawing tangents . " The determination of the tangents to the three conic sections did not furnish ...
... complete want of general principles and methods . Ancient geometry is decidedly special . Thus the Greeks possessed no general method of drawing tangents . " The determination of the tangents to the three conic sections did not furnish ...
Page 68
... complete square , and that by addition of the even numbers arises the series 2 , 6 , 12 , 20 , in which every number can be decomposed into two factors differing from each other by unity . Thus , 6 = 2.3 , 12 = 3.4 , etc. These latter ...
... complete square , and that by addition of the even numbers arises the series 2 , 6 , 12 , 20 , in which every number can be decomposed into two factors differing from each other by unity . Thus , 6 = 2.3 , 12 = 3.4 , etc. These latter ...
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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