A History of Mathematics |
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Page xvi
... means : Euclid's postulates and nothing more . We cannot remember an instance in which a question to be solved by a definite method was tried by the best heads , and answered at last , by that method , after thou- sands of complete ...
... means : Euclid's postulates and nothing more . We cannot remember an instance in which a question to be solved by a definite method was tried by the best heads , and answered at last , by that method , after thou- sands of complete ...
Page 11
... applied to Egyptian geometers , means " rope - stretchers , " would point to the conclusion that the Egyptian , like the Indian and Chinese geometers , constructed a right triangle upon a given line THE EGYPTIANS . 11.
... applied to Egyptian geometers , means " rope - stretchers , " would point to the conclusion that the Egyptian , like the Indian and Chinese geometers , constructed a right triangle upon a given line THE EGYPTIANS . 11.
Page 22
... mean progress in geometry . Of the theorems generally ascribed to the Italian school , some cannot be attributed to Pythagoras himself , nor to his earliest successors . The progress from empirical to reasoned solutions must , of ...
... mean progress in geometry . Of the theorems generally ascribed to the Italian school , some cannot be attributed to Pythagoras himself , nor to his earliest successors . The progress from empirical to reasoned solutions must , of ...
Page 23
... mean proportionals between two given lines . These mean proportionals were obtained by Archytas from the section of a half - cylinder . The doctrine of proportion was advanced through him . There is every reason to believe that the ...
... mean proportionals between two given lines . These mean proportionals were obtained by Archytas from the section of a half - cylinder . The doctrine of proportion was advanced through him . There is every reason to believe that the ...
Page 25
... means of a ruler and compass only . Proclus mentions a man , Hippias , presum- ably Hippias of Elis , as the ... mean proportionals between a given line and another twice as long . For , in the proportion a : x = x : y = y : 2a , since ...
... means of a ruler and compass only . Proclus mentions a man , Hippias , presum- ably Hippias of Elis , as the ... mean proportionals between a given line and another twice as long . For , in the proportion a : x = x : y = y : 2a , since ...
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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