A History of Mathematics |
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Page 16
... ideas as well as of merchandise . Greeks , thirsting for knowledge , sought the Egyptian priests for instruction . Thales , Pythagoras , Enopides , Plato , De- mocritus , Eudoxus , all visited the land of the pyramids . Egyptian ideas ...
... ideas as well as of merchandise . Greeks , thirsting for knowledge , sought the Egyptian priests for instruction . Thales , Pythagoras , Enopides , Plato , De- mocritus , Eudoxus , all visited the land of the pyramids . Egyptian ideas ...
Page 27
... idea of infinity into their geometry . It did not suit the rigour of their proofs . The process of Antiphon and Bryson gave rise to the cum- brous but perfectly rigorous " method of exhaustion . " determining the ratio of the areas ...
... idea of infinity into their geometry . It did not suit the rigour of their proofs . The process of Antiphon and Bryson gave rise to the cum- brous but perfectly rigorous " method of exhaustion . " determining the ratio of the areas ...
Page 37
... idea that Euclid must be absolutely perfect , made Theon the scape- goat for all the defects which they thought they could discover in the text as they knew it . But among the manuscripts sent by Napoleon I. from the Vatican to Paris ...
... idea that Euclid must be absolutely perfect , made Theon the scape- goat for all the defects which they thought they could discover in the text as they knew it . But among the manuscripts sent by Napoleon I. from the Vatican to Paris ...
Page 43
... ideas , the ideas were not distinct and appropriate to the facts . " For instance , Aristotle asserted that when a body at the end of a lever is moving , it may be considered as having two motions ; one in the direction of the tangent ...
... ideas , the ideas were not distinct and appropriate to the facts . " For instance , Aristotle asserted that when a body at the end of a lever is moving , it may be considered as having two motions ; one in the direction of the tangent ...
Page 54
... with their own . In consequence of this interchange of ideas the Greek philosophy became fused with Oriental philosophy . Neo - Pythagoreanism and Neo - Platonism were 54 A HISTORY OF MATHEMATICS . The Second Alexandrian School.
... with their own . In consequence of this interchange of ideas the Greek philosophy became fused with Oriental philosophy . Neo - Pythagoreanism and Neo - Platonism were 54 A HISTORY OF MATHEMATICS . The Second Alexandrian School.
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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 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 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 University variable Vieta Wallis writings wrote
Popular passages
Page 292 - THEOREM. If a straight line, falling on two other straight lines, make the alternate angles equal to each other ; these two straight lines shall be parallel.
Page 13 - 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.
Page 90 - In an inscribed quadrilateral, the product of the diagonals is equal to the sum of the products of the opposite sides.
Page 419 - FERRERS.— AN ELEMENTARY TREATISE on TRILINEAR CO-ORDINATES, the Method of Reciprocal Polars, and the Theory of Projections. By the Rev. NM FERRERS, MA, Fellow and Tutor of Gonville and Caius College, Cambridge.