A History of Mathematics |
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Page 27
... infinite divisibility , while Zeno , the Stoic , attempted to show its absurdity by proving that if magnitudes are infinitely divisible , motion is impossible . Zeno argues that Achilles could not overtake a tortoise ; for while he ...
... infinite divisibility , while Zeno , the Stoic , attempted to show its absurdity by proving that if magnitudes are infinitely divisible , motion is impossible . Zeno argues that Achilles could not overtake a tortoise ; for while he ...
Page 38
... infinite . The tenth book treats of the theory of incommensurables . The next three books are on stereometry . The eleventh contains its more elementary theorems ; the twelfth , the metrical relations of the pyramid , prism , cone ...
... infinite . The tenth book treats of the theory of incommensurables . The next three books are on stereometry . The eleventh contains its more elementary theorems ; the twelfth , the metrical relations of the pyramid , prism , cone ...
Page 94
... infinite and immutable Deity when worlds are destroyed or created , even though numerous orders of beings be taken up or brought forth . Though in this he apparently evinces clear mathematical notions , yet in other places he makes a ...
... infinite and immutable Deity when worlds are destroyed or created , even though numerous orders of beings be taken up or brought forth . Though in this he apparently evinces clear mathematical notions , yet in other places he makes a ...
Page 135
... infinite and the infini- tesimal subjects never since lost sight of . To England falls the honour of having produced the earliest European writers on trigonometry . The writings of Bradwardine , of Richard of Wallingford , and John ...
... infinite and the infini- tesimal subjects never since lost sight of . To England falls the honour of having produced the earliest European writers on trigonometry . The writings of Bradwardine , of Richard of Wallingford , and John ...
Page 169
... infinite number of triangles having their common vertices at the centre , and their bases in the circumference ; and the sphere to consist of an infinite number of pyramids . He applied conceptions of this kind to the determination of ...
... infinite number of triangles having their common vertices at the centre , and their bases in the circumference ; and the sphere to consist of an infinite number of pyramids . He applied conceptions of this kind to the determination of ...
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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