A History of Mathematics |
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Page 22
... continued to exist at least two centuries longer . Among the later Pythagoreans , Philolaus and Archytas are the most prominent . Philolaus wrote a book on the Pythago rean doctrines . By him were first given to the 22 A HISTORY OF ...
... continued to exist at least two centuries longer . Among the later Pythagoreans , Philolaus and Archytas are the most prominent . Philolaus wrote a book on the Pythago rean doctrines . By him were first given to the 22 A HISTORY OF ...
Page 55
... continued to be one of the most important studies in the Alexandrian course . This Second Alexandrian School may be said to begin with the Christian era . It was made famous by the names of Claudius Ptolemæus , Diophantus , Pappus ...
... continued to be one of the most important studies in the Alexandrian course . This Second Alexandrian School may be said to begin with the Christian era . It was made famous by the names of Claudius Ptolemæus , Diophantus , Pappus ...
Page 71
... continued proportion , and the first is a square , so is the third . In the ninth book , the same subject is continued . It contains the proposition that the number of primes is greater than any given number . After the death of Euclid ...
... continued proportion , and the first is a square , so is the third . In the ninth book , the same subject is continued . It contains the proposition that the number of primes is greater than any given number . After the death of Euclid ...
Page 78
... continued this practice . A less primitive mode of designating numbers , presumably of Etruscan origin , was a notation resembling the present " Roman notation . " This system is noteworthy from the fact that a principle is involved in ...
... continued this practice . A less primitive mode of designating numbers , presumably of Etruscan origin , was a notation resembling the present " Roman notation . " This system is noteworthy from the fact that a principle is involved in ...
Page 79
... continued to be used in Europe during the Middle Ages . We possess no knowledge as to where or when it was invented . The second mode of calculation , by the abacus , was a subject of elemen- tary instruction in Rome . Passages in Roman ...
... continued to be used in Europe during the Middle Ages . We possess no knowledge as to where or when it was invented . The second mode of calculation , by the abacus , was a subject of elemen- tary instruction in Rome . Passages in Roman ...
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60 cents abacus Abelian functions algebra Almagest analysis analytical angles Apollonius applied Arabic Archimedes arithmetic astronomical Berlin Bernoulli Boethius calculus 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 fractions Gauss gave geometry given gives 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 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