A History of Mathematics |
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Page 1
... knowledge can hardly fail to interest the mathematician . He takes pride in the fact that his science , more than any other , is an exact science , and that hardly anything ever done in mathematics has proved to be useless . The chemist ...
... knowledge can hardly fail to interest the mathematician . He takes pride in the fact that his science , more than any other , is an exact science , and that hardly anything ever done in mathematics has proved to be useless . The chemist ...
Page 3
... knowledge to the teacher of mathe- matics . The interest which pupils take in their studies may be greatly increased if the solution of problems and the cold logic of geometrical demonstrations are interspersed with historical remarks ...
... knowledge to the teacher of mathe- matics . The interest which pupils take in their studies may be greatly increased if the solution of problems and the cold logic of geometrical demonstrations are interspersed with historical remarks ...
Page 8
... knowledge of arithmetical and geometrical progressions has already been alluded to . Iamblichus attributes to them also a knowledge of proportion , and even the invention of the so - called musical proportion . Though we possess no ...
... knowledge of arithmetical and geometrical progressions has already been alluded to . Iamblichus attributes to them also a knowledge of proportion , and even the invention of the so - called musical proportion . Though we possess no ...
Page 11
... Knowledge . of all Dark Things . " We see from it that the Egyptians cared but little for theoretical results . Theorems are not found in it at all . It contains " hardly any general rules of procedure , but chiefly mere statements of ...
... Knowledge . of all Dark Things . " We see from it that the Egyptians cared but little for theoretical results . Theorems are not found in it at all . It contains " hardly any general rules of procedure , but chiefly mere statements of ...
Page 15
... knowledge of geom- etry which they possessed when Greek scholars visited them , six centuries B.C. , was doubtless known to them two thousand years earlier , when they built those stupendous and gigantic structures the pyramids . An ...
... knowledge of geom- etry which they possessed when Greek scholars visited them , six centuries B.C. , was doubtless known to them two thousand years earlier , when they built those stupendous and gigantic structures the pyramids . An ...
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Common terms and phrases
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.