A History of Mathematics |
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Page 1
... develop- ment , mathematics has had periods of slow growth , yet in the main it has been pre - eminently a progressive science . The history of mathematics may be instructive as well as agreeable ; it may not only remind us of what we ...
... develop- ment , mathematics has had periods of slow growth , yet in the main it has been pre - eminently a progressive science . The history of mathematics may be instructive as well as agreeable ; it may not only remind us of what we ...
Page 26
... developed and treated independent of that of numbers . The transfer of the theory of proportion from numbers to mag- nitudes ( and to lengths in particular ) was a difficult and important step . Hippocrates added to his fame by writing ...
... developed and treated independent of that of numbers . The transfer of the theory of proportion from numbers to mag- nitudes ( and to lengths in particular ) was a difficult and important step . Hippocrates added to his fame by writing ...
Page 58
Florian Cajori. startling fact that spherical trigonometry came to exist in a developed state earlier than plane trigonometry . The remaining books of the Almagest are on astronomy . Ptolemy has written other works which have little or ...
Florian Cajori. startling fact that spherical trigonometry came to exist in a developed state earlier than plane trigonometry . The remaining books of the Almagest are on astronomy . Ptolemy has written other works which have little or ...
Page 203
... developed and explained . Supposing the abscissa to increase uniformly in proportion to the time , he looked upon the area of a curve as a nascent quantity increasing by continued fluxion in the proportion of the length of the ordinate ...
... developed and explained . Supposing the abscissa to increase uniformly in proportion to the time , he looked upon the area of a curve as a nascent quantity increasing by continued fluxion in the proportion of the length of the ordinate ...
Page 230
... develop- ment or explanation of it . Leibniz certainly did see at least part of this tract . During the week spent in London , he took note of whatever interested him among the letters and papers of Collins . His memoranda discovered by ...
... develop- ment or explanation of it . Leibniz certainly did see at least part of this tract . During the week spent in London , he took note of whatever interested him among the letters and papers of Collins . His memoranda discovered by ...
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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.