A History of Mathematics |
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Page 157
... Desargues , Fermat , and Pascal . More gloomy is the picture in Germany . The great changes which revolutionised the world in the sixteenth century , and which led England to national greatness , led Germany to degradation . The first ...
... Desargues , Fermat , and Pascal . More gloomy is the picture in Germany . The great changes which revolutionised the world in the sixteenth century , and which led England to national greatness , led Germany to degradation . The first ...
Page 158
... Desargues , Pascal , Descartes , and the English Wallis are the great revo- lutioners of this science . Theoretical mechanics began to be studied . The foundations were laid by Fermat and Pascal for the theory of numbers and the theory ...
... Desargues , Pascal , Descartes , and the English Wallis are the great revo- lutioners of this science . Theoretical mechanics began to be studied . The foundations were laid by Fermat and Pascal for the theory of numbers and the theory ...
Page 174
... Desargues , and Hardy supported Descartes . Since Fermat introduced the conception of infinitely small differences between consecutive values of a function and ar- rived at the principle for finding the maxima and minima , it was ...
... Desargues , and Hardy supported Descartes . Since Fermat introduced the conception of infinitely small differences between consecutive values of a function and ar- rived at the principle for finding the maxima and minima , it was ...
Page 177
... Desargues and Pascal conceived the treatment of the conic sections as projections of circles . Two important and beautiful theorems were given by Desargues : The one is on the " involution of the six points , " in which a transversal ...
... Desargues and Pascal conceived the treatment of the conic sections as projections of circles . Two important and beautiful theorems were given by Desargues : The one is on the " involution of the six points , " in which a transversal ...
Page 178
... Desargues ' results , saying ( in his Essais pour les Coniques ) , " I wish to acknowledge that I owe the little that I have discovered on this subject , to his writings . " Pascal's and Desargues ' writ- ings contained the fundamental ...
... Desargues ' results , saying ( in his Essais pour les Coniques ) , " I wish to acknowledge that I owe the little that I have discovered on this subject , to his writings . " Pascal's and Desargues ' writ- ings contained the fundamental ...
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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