A History of Mathematics |
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Page 4
... researches are a reliable record of intellectual progress . The history of mathematics is one of the large windows through which the philosophic eye looks into past ages and traces the line of intellectual development . ANTIQUITY . THE ...
... researches are a reliable record of intellectual progress . The history of mathematics is one of the large windows through which the philosophic eye looks into past ages and traces the line of intellectual development . ANTIQUITY . THE ...
Page 24
... research than any other problems in mathe- matics . The bisection of an angle was one of the easiest problems in geometry . The trisection of an angle , on the other hand , presented unexpected difficulties . A right angle had been ...
... research than any other problems in mathe- matics . The bisection of an angle was one of the easiest problems in geometry . The trisection of an angle , on the other hand , presented unexpected difficulties . A right angle had been ...
Page 32
... researches , found in later writers , Ideler and Schiaparelli succeeded in recon- structing the system of Eudoxus with its celebrated representa- tion of planetary motions by " concentric spheres . " Eudoxus had a school at Cyzicus ...
... researches , found in later writers , Ideler and Schiaparelli succeeded in recon- structing the system of Eudoxus with its celebrated representa- tion of planetary motions by " concentric spheres . " Eudoxus had a school at Cyzicus ...
Page 34
... researches of the Platonic school.8 Aristotle ( 384-322 B.C. ) , the systematiser of deductive logic , though not a professed mathematician , promoted the science of geometry by improving some of the most difficult defini- tions . His ...
... researches of the Platonic school.8 Aristotle ( 384-322 B.C. ) , the systematiser of deductive logic , though not a professed mathematician , promoted the science of geometry by improving some of the most difficult defini- tions . His ...
Page 56
... researches , but mainly on those of Hipparchus . Ptolemy seems to have been not so much of an independent investigator , as a corrector and improver of the work of his great predecessors . The Almagest forms the foundation of all ...
... researches , but mainly on those of Hipparchus . Ptolemy seems to have been not so much of an independent investigator , as a corrector and improver of the work of his great predecessors . The Almagest forms the foundation of all ...
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Common terms and phrases
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