A History of Mathematics |
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Page 1
... periods of slow growth , yet in the main it has been pre - eminently a progressive science . The history of mathematics may be instructive as well as agreeable ; it may not only remind us of what we have , but may also teach us how to ...
... periods of slow growth , yet in the main it has been pre - eminently a progressive science . The history of mathematics may be instructive as well as agreeable ; it may not only remind us of what we have , but may also teach us how to ...
Page 2
... period of Archimedes . After innumerable fail- ures to solve the problem at a time , even , when investigators possessed that most powerful tool , the differential calculus , persons versed in mathematics dropped the subject , while ...
... period of Archimedes . After innumerable fail- ures to solve the problem at a time , even , when investigators possessed that most powerful tool , the differential calculus , persons versed in mathematics dropped the subject , while ...
Page 9
... , and builds the temple of Phthah at Memphis . " The Egyptians built the pyramids at a very early period . Surely a people engaging in enterprises of such magnitude must have known something of mathematics THE EGYPTIANS . 9 II.
... , and builds the temple of Phthah at Memphis . " The Egyptians built the pyramids at a very early period . Surely a people engaging in enterprises of such magnitude must have known something of mathematics THE EGYPTIANS . 9 II.
Page 15
... period of antiquity . But strange , indeed , is the fact that , during the next two thousand years , they should have made no progress whatsoever in it . The conclusion forces itself upon us , that they resemble the Chinese in the ...
... period of antiquity . But strange , indeed , is the fact that , during the next two thousand years , they should have made no progress whatsoever in it . The conclusion forces itself upon us , that they resemble the Chinese in the ...
Page 17
... period , written by Eudemus , a pupil of Aristotle , has been lost . It was well known to Proclus , who , in his commentaries on Euclid , gives a brief account of it . This abstract constitutes our most reliable information . We shall ...
... period , written by Eudemus , a pupil of Aristotle , has been lost . It was well known to Proclus , who , in his commentaries on Euclid , gives a brief account of it . This abstract constitutes our most reliable information . We shall ...
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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.