A History of Mathematics |
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Page xii
... Position . London , 1891 . 64. SCHMIDT , FRANZ . " Aus dem Leben zweier ungarischer Mathe- matiker Johann und Wolfgang Bolyai von Bolya . " Grunert's Archiv , 48 : 2 , 1868 . 65. FAVARO , ANTON . " Justus Bellavitis , " Zeitschrift fur ...
... Position . London , 1891 . 64. SCHMIDT , FRANZ . " Aus dem Leben zweier ungarischer Mathe- matiker Johann und Wolfgang Bolyai von Bolya . " Grunert's Archiv , 48 : 2 , 1868 . 65. FAVARO , ANTON . " Justus Bellavitis , " Zeitschrift fur ...
Page xvi
... position can be taken.1 The importance of this strategic rule may be emphasised by citing a case in which it has been violated . An untold amount of intellectual energy has been expended on the quadrature of the circle , yet no conquest ...
... position can be taken.1 The importance of this strategic rule may be emphasised by citing a case in which it has been violated . An untold amount of intellectual energy has been expended on the quadrature of the circle , yet no conquest ...
Page 5
... position " was employed . Thus , in 1.4 ( = 64 ) , the 1 is made to stand for 60 , the unit of the second order , by virtue of its position with respect to the 4. The introduction of this principle at so early a date is the more ...
... position " was employed . Thus , in 1.4 ( = 64 ) , the 1 is made to stand for 60 , the unit of the second order , by virtue of its position with respect to the 4. The introduction of this principle at so early a date is the more ...
Page 30
... position , " but this is a statement of a philosophical theory rather than a definition . Plato objected to calling a point a " geometrical fiction . " He defined a point as the " beginning of a line " or as " an indivis- ible line ...
... position , " but this is a statement of a philosophical theory rather than a definition . Plato objected to calling a point a " geometrical fiction . " He defined a point as the " beginning of a line " or as " an indivis- ible line ...
Page 48
... positions of two conics , as , for instance , when they have one or two points of contact with each other . The fifth book reveals better than any other the giant intellect of its author . Difficult questions of maxima and 48 A HISTORY ...
... positions of two conics , as , for instance , when they have one or two points of contact with each other . The fifth book reveals better than any other the giant intellect of its author . Difficult questions of maxima and 48 A HISTORY ...
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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