A History of Mathematics |
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Page 24
... three equal parts by the Pythagoreans . But the general problem , though easy in appearance , tran- scended the power of elementary geometry . Among the first to wrestle with it was Hippias of Elis , a 24 A HISTORY OF MATHEMATICS .
... three equal parts by the Pythagoreans . But the general problem , though easy in appearance , tran- scended the power of elementary geometry . Among the first to wrestle with it was Hippias of Elis , a 24 A HISTORY OF MATHEMATICS .
Page 26
... appeared , therefore , entirely distinct . The chasm between them is exposed to full view in the statement of Euclid that " incommensurable magni- tudes do not have the same ratio as numbers . " In Euclid's Elements we find the theory ...
... appeared , therefore , entirely distinct . The chasm between them is exposed to full view in the statement of Euclid that " incommensurable magni- tudes do not have the same ratio as numbers . " In Euclid's Elements we find the theory ...
Page 34
... appeared a work called Mechanica , of which he is regarded by some as the author . Mechanics was totally neglected by the Platonic school . The First Alexandrian School . In the previous pages we have seen the birth of geometry in Egypt ...
... appeared a work called Mechanica , of which he is regarded by some as the author . Mechanics was totally neglected by the Platonic school . The First Alexandrian School . In the previous pages we have seen the birth of geometry in Egypt ...
Page 58
... appeared after Ptolemy for 150 years . The only occupant of this long gap was Sextus Julius Africanus , who wrote an unimportant work on geometry applied to the art of war , entitled Cestes . Pappus , probably born about 340 A.D. , in ...
... appeared after Ptolemy for 150 years . The only occupant of this long gap was Sextus Julius Africanus , who wrote an unimportant work on geometry applied to the art of war , entitled Cestes . Pappus , probably born about 340 A.D. , in ...
Page 91
... appeared white on a red ground . " 7 Since the digits had to be quite large to be distinctly legible , and since the boards were small , it was desirable to have a method which would not require much space . Such a one was the above ...
... appeared white on a red ground . " 7 Since the digits had to be quite large to be distinctly legible , and since the boards were small , it was desirable to have a method which would not require much space . Such a one was the above ...
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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