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 xvi
... 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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Common terms and phrases
Abel Abelian functions algebra Almagest analysis analytical angles Apollonius applied Arabic Archimedes arithmetic astronomical became Berlin Bernoulli born calculus Cauchy Cayley century circle Clebsch coefficients conic contains convergent Crelle's Journal cubic curve degree Descartes determine developed differential equations Diophantus Dirichlet discovery elasticity elliptic functions Euclid Euler Felix Klein Fermat fluxions fractions Gauss gave geometry given Göttingen Greek Hindoo important integrals invention investigated Jacobi John Bernoulli Lagrange Laplace later Legendre Leibniz linear lines logarithms mathe mathematicians mathematics matical mechanics memoir method motion Newton notation paper Paris partial differential equations plane Poincaré Poisson polygon principle problem professor proof published pupil Pythagoreans quadratic quadrature quantities quaternions researches Riemann Riemann's surfaces roots solution solved square surface Sylvester symbols synthetic synthetic geometry tangents theorem theory of functions theory of numbers theta-functions Thomson tion treatise triangle trigonometry University variable velocity Vieta Weierstrass writings wrote