A History of Mathematics |
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Page 7
... remarkable , because in the decimal notation it was not introduced till about the fifth or sixth century after Christ . The principle of position , in its general and syste- matic application , requires a symbol for zero . We ask , Did ...
... remarkable , because in the decimal notation it was not introduced till about the fifth or sixth century after Christ . The principle of position , in its general and syste- matic application , requires a symbol for zero . We ask , Did ...
Page 15
... remarkable that they should have reached so great profi- ciency in mathematics at so remote a period of antiquity . But strange , indeed , is the fact that , during the next two thousand years , they should have made no progress ...
... remarkable that they should have reached so great profi- ciency in mathematics at so remote a period of antiquity . But strange , indeed , is the fact that , during the next two thousand years , they should have made no progress ...
Page 36
... remarkable fact in the history of geometry , that the Elements of Euclid , written two thousand years ago , are still regarded by many as the best introduction to the mathematical sciences . In England they are used at the present time ...
... remarkable fact in the history of geometry , that the Elements of Euclid , written two thousand years ago , are still regarded by many as the best introduction to the mathematical sciences . In England they are used at the present time ...
Page 39
... remarkable feature of Euclid's , and of all Greek geometry before Archimedes is that it eschews mensuration . Thus the theorem that the area of a triangle equals half the product of its base and its altitude is foreign to Euclid ...
... remarkable feature of Euclid's , and of all Greek geometry before Archimedes is that it eschews mensuration . Thus the theorem that the area of a triangle equals half the product of its base and its altitude is foreign to Euclid ...
Page 72
... remarkable discovery is a proposition given by Iamblichus in his treatise on Pythagorean philosophy . It is founded on the observation that the Pythagoreans called 1 , 10 , 100 , 1000 , units of the first , second , third , fourth ...
... remarkable discovery is a proposition given by Iamblichus in his treatise on Pythagorean philosophy . It is founded on the observation that the Pythagoreans called 1 , 10 , 100 , 1000 , units of the first , second , third , fourth ...
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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