A History of Mathematics |
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Page 3
... expressed by symbols whose respective values had to be added . Thus , stood for 2 , vy for 3 , for 4 , for 23 , <<< for 30. Here the symbols of higher order appear always to the left of those of lower order . In writing the hundreds ...
... expressed by symbols whose respective values had to be added . Thus , stood for 2 , vy for 3 , for 4 , for 23 , <<< for 30. Here the symbols of higher order appear always to the left of those of lower order . In writing the hundreds ...
Page 14
... expressed by any one unit - fraction were expressed as the sum of two or more of them . Thus , he wrote in place of . The first important problem naturally arising was , how to represent any fractional value as the sum of unit ...
... expressed by any one unit - fraction were expressed as the sum of two or more of them . Thus , he wrote in place of . The first important problem naturally arising was , how to represent any fractional value as the sum of unit ...
Page 18
... expression , and to put into scientific lan- guage and subject to proof that which others merely felt to be true . Thales may be said to have created the geometry of lines , essentially abstract in its character , while the Egyp- tians ...
... expression , and to put into scientific lan- guage and subject to proof that which others merely felt to be true . Thales may be said to have created the geometry of lines , essentially abstract in its character , while the Egyp- tians ...
Page 21
... expression . Like Egyptian geometry , the geometry of the Pythagoreans is much concerned with areas . To Pythagoras is ascribed the important theorem that the square on the hypotenuse of a right triangle is equal to the sum of the ...
... expression . Like Egyptian geometry , the geometry of the Pythagoreans is much concerned with areas . To Pythagoras is ascribed the important theorem that the square on the hypotenuse of a right triangle is equal to the sum of the ...
Page 30
... expression , and the geometrical concepts , such as the point , line , surface , etc. , without assigning to them formal definitions . The Py- thagoreans called a point " unity in position , " but this is a statement of a philosophical ...
... expression , and the geometrical concepts , such as the point , line , surface , etc. , without assigning to them formal definitions . The Py- thagoreans called a point " unity in position , " but this is a statement of a philosophical ...
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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