A History of Mathematics |
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Page 25
... curve which served to divide an angle not only into three , but into any number of equal parts . This same curve was used later by Deinostratus and others for the quadrature of the circle . On this account it is called the quadratrix ...
... curve which served to divide an angle not only into three , but into any number of equal parts . This same curve was used later by Deinostratus and others for the quadrature of the circle . On this account it is called the quadratrix ...
Page 32
... curves , Menæchmus must have succeeded well in investigating their properties . Another great geometer was Dinostratus , the brother of Menæchmus and pupil of Plato . Celebrated is his mechanical solution of the quadrature of the circle ...
... curves , Menæchmus must have succeeded well in investigating their properties . Another great geometer was Dinostratus , the brother of Menæchmus and pupil of Plato . Celebrated is his mechanical solution of the quadrature of the circle ...
Page 46
... curves were now no longer applicable . Instead of calling the three curves , sections of the acute - angled , ' ' right - angled , ' and ' obtuse - angled ' cone , he called them ellipse , parabola , and hyperbola , respectively . To be ...
... curves were now no longer applicable . Instead of calling the three curves , sections of the acute - angled , ' ' right - angled , ' and ' obtuse - angled ' cone , he called them ellipse , parabola , and hyperbola , respectively . To be ...
Page 47
... curve ; now , through any point whatever of the diameter of the curve , draw at right angles an ordinate : the square of this ordinate , comprehended between the diameter and the curve , will be equal to the rectangle constructed on the ...
... curve ; now , through any point whatever of the diameter of the curve , draw at right angles an ordinate : the square of this ordinate , comprehended between the diameter and the curve , will be equal to the rectangle constructed on the ...
Page 48
... curve and the perpendicular erected at one of its extremities suffice to construct the curve . These are the two elements which the ancients used , with which to establish their theory of conics . The perpendicular in question was ...
... curve and the perpendicular erected at one of its extremities suffice to construct the curve . These are the two elements which the ancients used , with which to establish their theory of conics . The perpendicular in question was ...
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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