A History of Mathematics |
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Page v
... given to historical inquiry in the mathematical class - rooms and seminaries of our leading universities , cause me to believe that a brief general History of Mathematics will be found acceptable to teachers and students . - The pages ...
... given to historical inquiry in the mathematical class - rooms and seminaries of our leading universities , cause me to believe that a brief general History of Mathematics will be found acceptable to teachers and students . - The pages ...
Page 3
... given square , tell them about the duplication of the cube - how the wrath of Apollo could be appeased only by the construction of a cubical altar double the given altar , and how mathematicians long wrestled with this problem . After ...
... given square , tell them about the duplication of the cube - how the wrath of Apollo could be appeased only by the construction of a cubical altar double the given altar , and how mathematicians long wrestled with this problem . After ...
Page 6
... given as the squares of the first seven integers respectively . We have next 1.482 , 1.2192 , 1.40 103 , 2.1 112 , etc. This remains unintelligible , unless we assume the sexagesimal scale , which makes 1.460 + 4 , 1.21 = 60 +21 , 2.1 ...
... given as the squares of the first seven integers respectively . We have next 1.482 , 1.2192 , 1.40 103 , 2.1 112 , etc. This remains unintelligible , unless we assume the sexagesimal scale , which makes 1.460 + 4 , 1.21 = 60 +21 , 2.1 ...
Page 11
... given as 20 square ruths , or half the product of the base by one side . The area of an isosceles trapezoid is found , similarly , by multiplying half the sum of the parallel sides by one of the non - parallel sides . The area of a ...
... given as 20 square ruths , or half the product of the base by one side . The area of an isosceles trapezoid is found , similarly , by multiplying half the sum of the parallel sides by one of the non - parallel sides . The area of a ...
Page 12
... given the area 11317 The incorrect formulæ of Ahmes of 3000 years B.C. yield generally closer approxima- tions than those of the Edfu inscriptions , written 200 years after Euclid ! The fact that the geometry of the Egyptians consists ...
... given the area 11317 The incorrect formulæ of Ahmes of 3000 years B.C. yield generally closer approxima- tions than those of the Edfu inscriptions , written 200 years after Euclid ! The fact that the geometry of the Egyptians consists ...
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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.