A History of Mathematics |
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Page 27
... infinite divisibility , while Zeno , the Stoic , attempted to show its absurdity by proving that lie 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 lie 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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60 cents abacus Abelian functions algebra Almagest analysis analytical angles Apollonius applied Arabic Archimedes arithmetic astronomical Berlin Bernoulli Boethius calculus called Cambridge Cauchy Cayley century circle Clebsch coefficients 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 equal Euclid 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 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
Popular passages
Page 202 - I was so persecuted with discussions arising out of my theory of light, that I blamed my own imprudence for parting with so substantial a blessing as my quiet, to run after a shadow.
Page 298 - THEOREM If a straight line falling on two other straight lines, make the alternate angles equal to one another, the two straight lines shall be parallel to one another.
Page 21 - The formula states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the base and altitude.