A History of Mathematics |
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Page 1
... tion of an angle . When they know how to construct a square whose area is double the area of a given square , tell them about the duplication of the cube - how the wrath of Apollo could be appeased only by the construction of a cubical ...
... tion of an angle . When they know how to construct a square whose area is double the area of a given square , tell them about the duplication of the cube - how the wrath of Apollo could be appeased only by the construction of a cubical ...
Page 5
... tion of integers the " principle of position " was employed . Thus , in 1.4 ( = 64 ) , the 1 is made to stand for 60 , the unit of the second order , by virtue of its position with respect to the 4. The introduction of this principle at ...
... tion of integers the " principle of position " was employed . Thus , in 1.4 ( = 64 ) , the 1 is made to stand for 60 , the unit of the second order , by virtue of its position with respect to the 4. The introduction of this principle at ...
Page 14
... tion of this table , a fraction whose numerator exceeds two can be expressed in the desired form , provided that there is a fraction in the table having the same denominator that it has . Take , for example , the problem , to divide 5 ...
... tion of this table , a fraction whose numerator exceeds two can be expressed in the desired form , provided that there is a fraction in the table having the same denominator that it has . Take , for example , the problem , to divide 5 ...
Page 17
... 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.
... 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 23
... tion of cones and cylinders . This problem reduces itself to レ finding two mean proportionals between two given lines . These mean proportionals were obtained by Archytas from the section of a half - cylinder . The doctrine of ...
... tion of cones and cylinders . This problem reduces itself to レ finding two mean proportionals between two given lines . These mean proportionals were obtained by Archytas from the section of a half - cylinder . The doctrine of ...
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Common terms and phrases
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