A History of Mathematics |
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Page 14
... wrote in place of 3. The first important problem naturally arising was , how to represent any fractional value as the sum of unit - fractions . This was solved by aid of a table , given in the papyrus , in which all fractions of the ...
... wrote in place of 3. The first important problem naturally arising was , how to represent any fractional value as the sum of unit - fractions . This was solved by aid of a table , given in the papyrus , in which all fractions of the ...
Page 22
... 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 MATHEMATICS .
... 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 MATHEMATICS .
Page 28
... wrote on incommensurable lines , on geometry , on numbers , and on perspective . None of these works are He used to boast that in the construction of plane figures with proof no one had yet surpassed him , not even extant . the so ...
... wrote on incommensurable lines , on geometry , on numbers , and on perspective . None of these works are He used to boast that in the construction of plane figures with proof no one had yet surpassed him , not even extant . the so ...
Page 33
... wrote an Elements carefully designed , both in number and utility of its proofs ; Theudius of Magnesia , who composed a very good book of Elements and generalised propositions , which had been confined to particular cases ; Hermotimus ...
... wrote an Elements carefully designed , both in number and utility of its proofs ; Theudius of Magnesia , who composed a very good book of Elements and generalised propositions , which had been confined to particular cases ; Hermotimus ...
Page 34
... wrote a work on conic sections tends to show that much progress had been made in their study during the time of Menæchmus . Aristaus wrote also on regular solids and cultivated the analytic method . His works contained probably a ...
... wrote a work on conic sections tends to show that much progress had been made in their study during the time of Menæchmus . Aristaus wrote also on regular solids and cultivated the analytic method . His works contained probably a ...
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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