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 2 2 Thus , for a quadrangle whose opposite sides are 5 and 8 , 20 and 15 , is given the area 11317 The incorrect formulæ of ...
... give their areas . The area of any quadrilateral , however irregular , is there found by the formula a + b.c + d 2 2 Thus , for a quadrangle whose opposite sides are 5 and 8 , 20 and 15 , is given the area 11317 The incorrect formulæ of ...
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 . Syrian and Arabian writers claim to know much more , but they are unre- 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 . Syrian and Arabian writers claim to know much more , but they are unre- liable . At one time ...
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60 cents abacus Abelian functions algebra Almagest analysis analytical angles Apollonius applied Arabic Archimedes arithmetic astronomical Berlin Bernoulli Boethius calculus called Cambridge Cauchy Cayley century circle Clebsch coefficients 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 equal Euclid 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 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
Popular passages
Page 202 - I was so persecuted with discussions arising out of my theory of light, that I blamed my own imprudence for parting with so substantial a blessing as my quiet, to run after a shadow.
Page 298 - THEOREM If a straight line falling on two other straight lines, make the alternate angles equal to one another, the two straight lines shall be parallel to one another.
Page 21 - The formula states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the base and altitude.