A History of Mathematics |
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Page 25
... original one . This probably suggested the problem of the duplication of the cube , i.e. to find the edge of a cube having double the volume of a given cube . Eratosthenes ascribes to this problem a different origin . The Delians were ...
... original one . This probably suggested the problem of the duplication of the cube , i.e. to find the edge of a cube having double the volume of a given cube . Eratosthenes ascribes to this problem a different origin . The Delians were ...
Page 30
... original work , but he made valuable improvements in the logic and methods employed in geometry . It is true that the Sophist geometers of the previous century were rigorous in their proofs , but as a rule they did not reflect on the ...
... original work , but he made valuable improvements in the logic and methods employed in geometry . It is true that the Sophist geometers of the previous century were rigorous in their proofs , but as a rule they did not reflect on the ...
Page 36
... to incom- mensurables and also the Method of Exhaustions ( Book XII . ) , that Theætetus contributed much toward Books X. and XIII . , that the principal part of the original work of Euclid 36 A HISTORY OF MATHEMATICS .
... to incom- mensurables and also the Method of Exhaustions ( Book XII . ) , that Theætetus contributed much toward Books X. and XIII . , that the principal part of the original work of Euclid 36 A HISTORY OF MATHEMATICS .
Page 37
Florian Cajori. that the principal part of the original work of Euclid himself is to be found in Book X.8 Euclid was the greatest systema- tiser of his time . By careful selection from the material before him , and by logical arrangement ...
Florian Cajori. that the principal part of the original work of Euclid himself is to be found in Book X.8 Euclid was the greatest systema- tiser of his time . By careful selection from the material before him , and by logical arrangement ...
Page 45
... original Greek . The next three books were unknown in Europe till the middle of the seventeenth century , when an Arabic translation , made about 1250 , was discovered . The eighth book has never been found . In 1710 Halley of Oxford ...
... original Greek . The next three books were unknown in Europe till the middle of the seventeenth century , when an Arabic translation , made about 1250 , was discovered . The eighth book has never been found . In 1710 Halley of Oxford ...
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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