A History of Mathematics |
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Page 1
... angle , surprise them by telling of the many futile attempts which have been made to solve , by elementary geometry , the apparently very simple problem of the trisec- tion of an angle . When they know how to construct a square whose ...
... angle , surprise them by telling of the many futile attempts which have been made to solve , by elementary geometry , the apparently very simple problem of the trisec- tion of an angle . When they know how to construct a square whose ...
Page 17
... angles , the equality of the angles at the base of an isosceles triangle , the bisec- tion of a circle by any diameter , and the congruence of two 8 triangles having a side and the two adjacent angles THE GREEKS . 17 The Ionic School.
... angles , the equality of the angles at the base of an isosceles triangle , the bisec- tion of a circle by any diameter , and the congruence of two 8 triangles having a side and the two adjacent angles THE GREEKS . 17 The Ionic School.
Page 18
... angles of a tri- angle to be equal to two right angles , and the sides of equi- angular triangles to be proportional . The Egyptians must have made use of the above theorems on the straight line , in some of their constructions found in ...
... angles of a tri- angle to be equal to two right angles , and the sides of equi- angular triangles to be proportional . The Egyptians must have made use of the above theorems on the straight line , in some of their constructions found in ...
Page 19
... angle on a line equal to a given angle . That a man could gain a reputation by solving problems so elementary as these , indi- cates that geometry was still in its infancy , and that the Greeks had not yet gotten far beyond the Egyptian ...
... angle on a line equal to a given angle . That a man could gain a reputation by solving problems so elementary as these , indi- cates that geometry was still in its infancy , and that the Greeks had not yet gotten far beyond the Egyptian ...
Page 21
... angles of a triangle , presumably known to Thales , was proved by the Pythagoreans after the manner of Euclid . They demonstrated also that the plane about a point is completely filled by six equilateral triangles , four squares , or ...
... angles of a triangle , presumably known to Thales , was proved by the Pythagoreans after the manner of Euclid . They demonstrated also that the plane about a point is completely filled by six equilateral triangles , four squares , or ...
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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