A History of Mathematics |
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Page 10
... give each one a quadrangle of equal size and to draw from each his revenues , by imposing a tax to be levied yearly . But every one from whose part the river tore away anything , had to go to him and notify what had happened ; he then ...
... give each one a quadrangle of equal size and to draw from each his revenues , by imposing a tax to be levied yearly . But every one from whose part the river tore away anything , had to go to him and notify what had happened ; he then ...
Page 12
... give their areas . The area of any quadrilateral , however irregular , is there found by the formula a + b.c + d Thus , 2 2 • for a quadrangle whose opposite sides are 5 and 8 , 20 and 15 , is given the area 113117 The incorrect formulæ ...
... give their areas . The area of any quadrilateral , however irregular , is there found by the formula a + b.c + d Thus , 2 2 • for a quadrangle whose opposite sides are 5 and 8 , 20 and 15 , is given the area 113117 The incorrect formulæ ...
Page 17
... gives a brief account of it . This abstract constitutes our most reliable information . We shall quote it frequently under the name of Eudemian Summary . The Ionic School . To Thales of Miletus ( 640–546 B.C. ) , one of the “ seven wise ...
... gives a brief account of it . This abstract constitutes our most reliable information . We shall quote it frequently under the name of Eudemian Summary . The Ionic School . To Thales of Miletus ( 640–546 B.C. ) , one of the “ seven wise ...
Page 18
... give these truths , which others saw , but did not formulate into words , an explicit , abstract expression , and to put into scientific lan- guage and subject to proof that which others merely felt to be true . Thales may be said to ...
... give these truths , which others saw , but did not formulate into words , an explicit , abstract expression , and to put into scientific lan- guage and subject to proof that which others merely felt to be true . Thales may be said to ...
Page 36
... Give him threepence , since he must make gain out of what he learns . ' These are about all the personal details preserved by Greek writers . rian and Arabian writers claim to know much more , but they are nre- liable . At one time ...
... Give him threepence , since he must make gain out of what he learns . ' These are about all the personal details preserved by Greek writers . rian and Arabian writers claim to know much more , but they are nre- liable . At one time ...
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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