A History of Mathematics |
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Page 14
... wrote in place of . 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 form ...
... wrote in place of . 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 form ...
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 extant . He used to boast that in the construction of plane figures with proof no one had yet surpassed him , not even the so ...
... wrote on incommensurable lines , on geometry , on numbers , and on perspective . None of these works are extant . He used to boast that in the construction of plane figures with proof no one had yet surpassed him , not even 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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Abel Abelian functions algebra Almagest analysis analytical angles Apollonius applied Arabic Archimedes arithmetic astronomical became Berlin Bernoulli born calculus Cauchy Cayley century circle Clebsch coefficients conic contains convergent Crelle's Journal cubic curve degree Descartes determine developed differential equations Diophantus Dirichlet discovery elasticity elliptic functions Euclid Euler Felix Klein Fermat fluxions fractions Gauss gave geometry given Göttingen Greek Hindoo important integrals invention investigated Jacobi John Bernoulli Lagrange Laplace later Legendre Leibniz linear lines logarithms mathe mathematicians mathematics matical mechanics memoir method motion Newton notation paper Paris partial differential equations plane Poincaré Poisson polygon principle problem professor proof published pupil Pythagoreans quadratic quadrature quantities quaternions researches Riemann Riemann's surfaces roots solution solved square surface Sylvester symbols synthetic synthetic geometry tangents theorem theory of functions theory of numbers theta-functions Thomson tion treatise triangle trigonometry University variable velocity Vieta Weierstrass writings wrote