A History of Mathematics |
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Page 21
... plane about a point is completely filled by six equilateral triangles , four squares , or three regular hexagons , so that it is possible to divide up a plane into figures of either kind . From the equilateral triangle and the square ...
... plane about a point is completely filled by six equilateral triangles , four squares , or three regular hexagons , so that it is possible to divide up a plane into figures of either kind . From the equilateral triangle and the square ...
Page 22
... plane figures . The treatment of the subjects of proportion and of irrational quantities by him and his school will be taken up under the head of arithmetic . According to Eudemus , the Pythagoreans invented the prob- lems concerning ...
... plane figures . The treatment of the subjects of proportion and of irrational quantities by him and his school will be taken up under the head of arithmetic . According to Eudemus , the Pythagoreans invented the prob- lems concerning ...
Page 27
... the areas between two curvilinear plane figures , say two circles , geometers first inscribed or circumscribed similar polygons , and then by increasing indefi- nitely the number of sides , nearly exhausted the spaces THE GREEKS . 27.
... the areas between two curvilinear plane figures , say two circles , geometers first inscribed or circumscribed similar polygons , and then by increasing indefi- nitely the number of sides , nearly exhausted the spaces THE GREEKS . 27.
Page 28
... of these works are extant . He used to boast that in the construction of plane figures with proof no one had yet surpassed him , not even the so - called harpedonaptæ ( " rope - stretchers 28 A HISTORY OF MATHEMATICS .
... of these works are extant . He used to boast that in the construction of plane figures with proof no one had yet surpassed him , not even the so - called harpedonaptæ ( " rope - stretchers 28 A HISTORY OF MATHEMATICS .
Page 32
... planes at right angles to a side of the cones , and thus obtained the three sections which we now call the parabola , ellipse , and hyperbola . Judging from the two very elegant solutions of the " Delian Problem " by means of ...
... planes at right angles to a side of the cones , and thus obtained the three sections which we now call the parabola , ellipse , and hyperbola . Judging from the two very elegant solutions of the " Delian Problem " by means of ...
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Abel Abelian functions algebra Almagest analysis analytical angles Apollonius applied Arabic Archimedes arithmetic astronomical became Berlin Bernoulli born calculus Cauchy Cayley century circle Clebsch coefficients conic contains convergent Crelle's Journal cubic curve degree Descartes determine developed differential equations Diophantus Dirichlet discovery elasticity elliptic functions Euclid Euler Felix Klein Fermat fluxions fractions Gauss gave geometry given Göttingen Greek Hindoo important integrals invention investigated Jacobi John Bernoulli Lagrange Laplace later Legendre Leibniz linear lines logarithms mathe mathematicians mathematics matical mechanics memoir method motion Newton notation paper Paris partial differential equations plane Poincaré Poisson polygon principle problem professor proof published pupil Pythagoreans quadratic quadrature quantities quaternions researches Riemann Riemann's surfaces roots solution solved square surface Sylvester symbols synthetic synthetic geometry tangents theorem theory of functions theory of numbers theta-functions Thomson tion treatise triangle trigonometry University variable velocity Vieta Weierstrass writings wrote