A History of Mathematics |
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Page 1
... theorem of the right triangle , tell them something about its discoverer - how Pythagoras , jubilant over his great accomplishment , sacrificed a hecatomb to the Muses who in- spired him . When the value of mathematical training is ...
... theorem of the right triangle , tell them something about its discoverer - how Pythagoras , jubilant over his great accomplishment , sacrificed a hecatomb to the Muses who in- spired him . When the value of mathematical training is ...
Page 18
... theorem he applied to the measurement of the distances of ships from the shore . Thus Thales was the first to apply theoretical geometry to practical uses . The theorem that all angles inscribed in a semicircle are right angles is ...
... theorem he applied to the measurement of the distances of ships from the shore . Thus Thales was the first to apply theoretical geometry to practical uses . The theorem that all angles inscribed in a semicircle are right angles is ...
Page 21
... theorem that the square on the hypotenuse of a right triangle is equal to the sum of the squares on the other two sides . He had probably learned from the Egyptians the truth of the theorem in the special case when the sides are 3 , 4 ...
... theorem that the square on the hypotenuse of a right triangle is equal to the sum of the squares on the other two sides . He had probably learned from the Egyptians the truth of the theorem in the special case when the sides are 3 , 4 ...
Page 22
... theorems , and testifies to the fact that the Pythagoreans made no mean progress in geometry . Of the theorems ... theorem of any importance was discovered by this school . Though politics broke up the Pythagorean fraternity , yet ...
... theorems , and testifies to the fact that the Pythagoreans made no mean progress in geometry . Of the theorems ... theorem of any importance was discovered by this school . Though politics broke up the Pythagorean fraternity , yet ...
Page 28
... theorem attributed to Hippocrates of Chios that the circles , which differ but little from the last drawn poly- gons , must be to each other as the squares on their diameters . But in order to exclude all vagueness and possibility of ...
... theorem attributed to Hippocrates of Chios that the circles , which differ but little from the last drawn poly- gons , must be to each other as the squares on their diameters . But in order to exclude all vagueness and possibility 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