A History of Mathematics |
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Page 20
... Italy . He settled at Croton , and founded the famous Pythagorean school . This was not merely an academy for the teaching of philosophy , mathematics , and natural science , but it was a brotherhood , the members of which were united ...
... Italy . He settled at Croton , and founded the famous Pythagorean school . This was not merely an academy for the teaching of philosophy , mathematics , and natural science , but it was a brotherhood , the members of which were united ...
Page 22
... Italian school , some cannot be attributed to Pythagoras himself , nor to his earliest successors . The progress from empirical to reasoned solutions must , of necessity , have been slow . It is worth noticing that on the circle no ...
... Italian school , some cannot be attributed to Pythagoras himself , nor to his earliest successors . The progress from empirical to reasoned solutions must , of necessity , have been slow . It is worth noticing that on the circle no ...
Page 23
... Italian school , which had been kept secret for a whole century . The brilliant Archytas of Tarentum ( 428-347 B.C. ) , known as a great statesman and general , and universally admired for his virtues , was the only great geome- ter ...
... Italian school , which had been kept secret for a whole century . The brilliant Archytas of Tarentum ( 428-347 B.C. ) , known as a great statesman and general , and universally admired for his virtues , was the only great geome- ter ...
Page 24
... Italy , and during the time now under consideration , at Athens . The geometry of the circle , which had been entirely . neglected by the Pythagoreans , was taken up by the Sophists . Nearly all their discoveries were made in connection ...
... Italy , and during the time now under consideration , at Athens . The geometry of the circle , which had been entirely . neglected by the Pythagoreans , was taken up by the Sophists . Nearly all their discoveries were made in connection ...
Page 29
... Italy and Sicily , where he came in contact with the Pythagoreans . Archytas of Tarentum and Timæus of Locri became his intimate friends . On his return to Athens , about 389 B.C. , he founded his school in the groves of the Academia ...
... Italy and Sicily , where he came in contact with the Pythagoreans . Archytas of Tarentum and Timæus of Locri became his intimate friends . On his return to Athens , about 389 B.C. , he founded his school in the groves of the Academia ...
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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.