A History of Mathematics |
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Page 24
... three equal parts by the Pythagoreans . But the general problem , though easy in appearance , tran- scended the power of elementary geometry . Among the first to wrestle with it was Hippias of Elis , a 24 A HISTORY OF MATHEMATICS .
... three equal parts by the Pythagoreans . But the general problem , though easy in appearance , tran- scended the power of elementary geometry . Among the first to wrestle with it was Hippias of Elis , a 24 A HISTORY OF MATHEMATICS .
Page 26
... appeared , therefore , entirely distinct . The chasm between them is exposed to full view in the statement of Euclid that " incommensurable magni- tudes do not have the same ratio as numbers . " In Euclid's Elements we find the theory ...
... appeared , therefore , entirely distinct . The chasm between them is exposed to full view in the statement of Euclid that " incommensurable magni- tudes do not have the same ratio as numbers . " In Euclid's Elements we find the theory ...
Page 34
... appeared a work called Mechanica , of which he is regarded by some as the author . Mechanics was totally neglected by the Platonic school . The First Alexandrian School . In the previous pages we have seen the birth of geometry in Egypt ...
... appeared a work called Mechanica , of which he is regarded by some as the author . Mechanics was totally neglected by the Platonic school . The First Alexandrian School . In the previous pages we have seen the birth of geometry in Egypt ...
Page 58
... appeared after Ptolemy for 150 years . The only occupant of this long gap was Sextus Julius Africanus , who wrote an unimportant work on geometry applied to the art of war , entitled Cestes . Pappus , probably born about 340 A.D. , in ...
... appeared after Ptolemy for 150 years . The only occupant of this long gap was Sextus Julius Africanus , who wrote an unimportant work on geometry applied to the art of war , entitled Cestes . Pappus , probably born about 340 A.D. , in ...
Page 91
... appeared white on a red ground . " 7 Since the digits had to be quite large to be distinctly legible , and since the boards were small , it was desirable to have a method which would not require much space . Such a one was the above ...
... appeared white on a red ground . " 7 Since the digits had to be quite large to be distinctly legible , and since the boards were small , it was desirable to have a method which would not require much space . Such a one was the above ...
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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.