A History of Mathematics |
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Page 1
... solution of problems and the cold logic of geometrical demonstrations are interspersed with historical remarks and anecdotes . A class in arithmetic will be pleased to hear about the Hindoos and their invention of the " Arabic notation ...
... solution of problems and the cold logic of geometrical demonstrations are interspersed with historical remarks and anecdotes . A class in arithmetic will be pleased to hear about the Hindoos and their invention of the " Arabic notation ...
Page 15
... solution is as follows : 319 ; 2 = 24 ; x = 16 } } . But in other problems , the solutions are effected by various other methods . It thus appears that the beginnings of algebra are as ancient as those of geometry . The principal defect ...
... solution is as follows : 319 ; 2 = 24 ; x = 16 } } . But in other problems , the solutions are effected by various other methods . It thus appears that the beginnings of algebra are as ancient as those of geometry . The principal defect ...
Page 17
... solution presupposes a knowledge of proportion , and the Ahmes papyrus actually shows that the rudiments of proportion were known to the Egyptians . Ac- cording to Diogenes Laertius , the pyramids were measured by Thales in a different ...
... solution presupposes a knowledge of proportion , and the Ahmes papyrus actually shows that the rudiments of proportion were known to the Egyptians . Ac- cording to Diogenes Laertius , the pyramids were measured by Thales in a different ...
Page 19
... solution of it , and seems to have luckily escaped paralogisms . About the time of Anaxagoras , but isolated from the Ionic school , flourished Enopides of Chios . Proclus ascribes to him the solution of the following problems : From a ...
... solution of it , and seems to have luckily escaped paralogisms . About the time of Anaxagoras , but isolated from the Ionic school , flourished Enopides of Chios . Proclus ascribes to him the solution of the following problems : From a ...
Page 23
... solution to the problem of the duplication of the cube . His solution involves clear notions on the genera- tion of cones and cylinders . This problem reduces itself to レ finding two mean proportionals between two given lines . These ...
... solution to the problem of the duplication of the cube . His solution involves clear notions on the genera- tion of cones and cylinders . This problem reduces itself to レ finding two mean proportionals between two given lines . These ...
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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