A History of Mathematics |
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Page 2
... calculus , persons versed in mathematics dropped the subject , while those who still persisted were completely ignorant of its his- tory and generally misunderstood the conditions of the prob- lem . " Our problem , " says De Morgan ...
... calculus , persons versed in mathematics dropped the subject , while those who still persisted were completely ignorant of its his- tory and generally misunderstood the conditions of the prob- lem . " Our problem , " says De Morgan ...
Page 4
... calculus , they should become familiar with the parts that Newton , Leibniz , and Lagrange played in creating that science . In his historical talk it is possible for the teacher to make it plain to the student that mathematics is not a ...
... calculus , they should become familiar with the parts that Newton , Leibniz , and Lagrange played in creating that science . In his historical talk it is possible for the teacher to make it plain to the student that mathematics is not a ...
Page 42
... calculus . In its stead the ancients used the method of exhaustion . Nowhere is the fertility of his genius more grandly displayed than in his masterly use of this method . With Euclid and his predecessors the method of exhaustion was ...
... calculus . In its stead the ancients used the method of exhaustion . Nowhere is the fertility of his genius more grandly displayed than in his masterly use of this method . With Euclid and his predecessors the method of exhaustion was ...
Page 49
... calculus . The second is the theory of conic sections , which was the prelude to the theory of geometrical curves of all degrees , and to that portion of geometry which considers only the forms and situations of figures , and uses only ...
... calculus . The second is the theory of conic sections , which was the prelude to the theory of geometrical curves of all degrees , and to that portion of geometry which considers only the forms and situations of figures , and uses only ...
Page 50
... calculus , were needed . The Greek mind was not adapted to the invention of general methods . Instead of a climb to still loftier heights we observe , therefore , on the part of later Greek geometers , a descent , during which they ...
... calculus , were needed . The Greek mind was not adapted to the invention of general methods . Instead of a climb to still loftier heights we observe , therefore , on the part of later Greek geometers , a descent , during which they ...
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60 cents abacus Abelian functions algebra Almagest analysis analytical angles Apollonius applied Arabic Archimedes arithmetic astronomical Berlin Bernoulli Boethius calculus called Cambridge Cauchy Cayley century circle Clebsch coefficients 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 equal Euclid 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 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
Popular passages
Page 202 - I was so persecuted with discussions arising out of my theory of light, that I blamed my own imprudence for parting with so substantial a blessing as my quiet, to run after a shadow.
Page 298 - THEOREM If a straight line falling on two other straight lines, make the alternate angles equal to one another, the two straight lines shall be parallel to one another.
Page 21 - The formula states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the base and altitude.