A History of Mathematics |
From inside the book
Results 1-5 of 36
Page xi
... Trigonometry , " Philosophical Magazine , February , 1873 . 45. Die Basler Mathematiker , Daniel Bernoulli und Leonhard Euler . Basel , 1884 . 46. REIFF , R. Geschichte der Unendlichen Reihen . Tübingen , 1889 . 47. WALTERSHAUSEN , W ...
... Trigonometry , " Philosophical Magazine , February , 1873 . 45. Die Basler Mathematiker , Daniel Bernoulli und Leonhard Euler . Basel , 1884 . 46. REIFF , R. Geschichte der Unendlichen Reihen . Tübingen , 1889 . 47. WALTERSHAUSEN , W ...
Page 51
... informs us that Hippar- chus originated the science of trigonometry , and that he calcu- lated a " table of chords " in twelve books . Such calculations must have required a ready knowledge of arithmetical and algebraical THE GREEKS . 51.
... informs us that Hippar- chus originated the science of trigonometry , and that he calcu- lated a " table of chords " in twelve books . Such calculations must have required a ready knowledge of arithmetical and algebraical THE GREEKS . 51.
Page 56
... the earth . Ptolemy did considerable for mathematics . He created , for astronomical use , a trigonometry remarkably perfect in form . The foundation of this science was laid by the illustrious 56 A HISTORY OF MATHEMATICS .
... the earth . Ptolemy did considerable for mathematics . He created , for astronomical use , a trigonometry remarkably perfect in form . The foundation of this science was laid by the illustrious 56 A HISTORY OF MATHEMATICS .
Page 57
... trigonometry , and to spherical trigonometry in particular . Ptolemy proved the ' lemma of Menelaus , ' and also the ' regula sex quantitatum . ' Upon these propositions he built up his trigonometry . The fundamental theorem of plane ...
... trigonometry , and to spherical trigonometry in particular . Ptolemy proved the ' lemma of Menelaus , ' and also the ' regula sex quantitatum . ' Upon these propositions he built up his trigonometry . The fundamental theorem of plane ...
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 ...
Other editions - View all
Common terms and phrases
60 cents abacus Abel Abelian functions algebra Almagest analysis analytical angles Apollonius applied Arabic Archimedes arithmetic astronomical Berlin Bernoulli Boethius calculus called Cambridge Cauchy Cayley century circle Clebsch 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 Euclid Euclid's Elements Euler expressed Fermat fluxions formula fractions Gauss gave geometry given Greek Hindoo infinite integral invention investigations Jacobi John Bernoulli known Lagrange Laplace Legendre Leibniz linear lines logarithms mathe mathematicians mathematics matical mechanics memoir method motion Newton notation paper 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