A History of Mathematics |
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Page v
... proof - sheets of this chapter have also been submitted to Dr. J. E. Davies and Professor C. A. Van Velzer , both of the University of Wisconsin ; to Dr. G. B. Halsted , of the University of Texas ; Professor L. M. Hoskins , of the ...
... proof - sheets of this chapter have also been submitted to Dr. J. E. Davies and Professor C. A. Van Velzer , both of the University of Wisconsin ; to Dr. G. B. Halsted , of the University of Texas ; Professor L. M. Hoskins , of the ...
Page 2
... demonstrated that this ratio is also transcendental and that the quadrature of the circle , by means of the ruler and compass only , is impos- sible . He thus showed by actual proof that which 2 A HISTORY OF MATHEMATICS .
... demonstrated that this ratio is also transcendental and that the quadrature of the circle , by means of the ruler and compass only , is impos- sible . He thus showed by actual proof that which 2 A HISTORY OF MATHEMATICS .
Page 3
Florian Cajori. sible . He thus showed by actual proof that which keen- minded mathematicians had long suspected ; namely , that the great army of circle - squarers have , for two thousand years , been assaulting a fortification which is ...
Florian Cajori. sible . He thus showed by actual proof that which keen- minded mathematicians had long suspected ; namely , that the great army of circle - squarers have , for two thousand years , been assaulting a fortification which is ...
Page 8
... proof , we have nevertheless reason to believe that in practical calculation they used the abacus . Among the races of middle Asia , even as far as China , the abacus is as old as fable . Now , Babylon was once a great commercial centre ...
... proof , we have nevertheless reason to believe that in practical calculation they used the abacus . Among the races of middle Asia , even as far as China , the abacus is as old as fable . Now , Babylon was once a great commercial centre ...
Page 18
... 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 studied only the geometry of surfaces and the rudiments of solid ...
... 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 studied only the geometry of surfaces and the rudiments of solid ...
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60 cents abacus Abelian functions algebra Almagest analysis analytical angles Apollonius applied Arabic Archimedes arithmetic astronomical Berlin Bernoulli Boethius calculus Cambridge Cauchy Cayley century circle Clebsch 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 Euclid Euclid's Elements 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 lines 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