A Short Account of the History of MathematicsMacmillan and Company, limited, 1901 - 527 sider |
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A Short Account of the History of Mathematics Walter William Rouse Ball Uten tilgangsbegrensning - 1901 |
A Short Account of the History of Mathematics Walter William Rouse Ball Uten tilgangsbegrensning - 1901 |
Vanlige uttrykk og setninger
algebra analysis analytical geometry Apollonius Arabs Archimedes arithmetic astronomy Athenian school Berlin Bernoulli born Brahmagupta calculus Cambridge centre century chapter circle conic conic sections contains contemporaries cube cubic equation curve denote Descartes determined died differential differential calculus Diophantus discussed earliest edition enunciated equal equation Euclid Euclid's Elements Euler Fermat fluxions functions Gauss gave geometricians given Greek Greek mathematics Hipparchus infinitesimal calculus integral invention investigations John Bernoulli known Lagrange Laplace later lectures Leibnitz Leipzig London mathe mathematicians mathematics mechanics memoirs mentioned method modern motion Newton notation obtained papers Paris Pascal philosophy plane Principia principles probably problem proof propositions published Pythagoras Pythagoreans quadratic quadrature quantity ratio Regiomontanus right angles roots shewed shewn solution solved square subsequently symbols tangent text-books theorem theory of numbers tion treatise triangle trigonometry Vieta volumes writers written wrote
Populære avsnitt
Side 357 - I do not know what I may appear to the world ; but to myself I seem to have been only like a boy playing on the seashore, and diverting myself in now and then finding a smoother pebble or a prettier shell than ordinary, whilst the great ocean of truth lay all undiscovered before me.
Side 330 - Newton generalized the law of attraction into a statement that every particle of matter in the universe attracts every other particle with a force which varies directly as the product of their masses and inversely as the square of the distance between them; and he thence deduced the law of attraction for spherical shells of constant density.
Side 343 - that every particle of matter in the universe attracts every other particle, with a force whose direction is that of the line joining the two, and whose magnitude is directly as the product of their masses, and inversely as the square of their distances from each other.
Side 333 - I see I have made myself a slave to philosophy, but if I get free of Mr. Linus's business, I will resolutely bid adieu to it eternally, excepting what I do for my private satisfaction, or leave to come out after me; for I see a man must either resolve to put out nothing new, or to become a slave to defend it.
Side 45 - AB is the greater. If from AB there be taken more than its half, and from the remainder more than its half, and so on ; there shall at length remain a magnitude less than C.
Side 8 - Pythagoras' theorem states that the square of the length of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the lengths of the other two sides.
Side 333 - I was so persecuted with discussions arising out of my theory of light, that I blamed my own imprudence for parting with so substantial a blessing as my quiet, to run after a shadow.
Side 369 - If we must confine ourselves to one system of notation then there can be no doubt that that which was invented by Leibnitz is better fitted for most of the purposes to which the infinitesimal calculus is applied than that of fluxions, and for some (such as the calculus of variations) it is indeed almost essential.
Side 392 - Shortly before it, he declared that it was necessary for him to sleep some ten minutes or a quarter of an hour longer each day than the preceding one: the day after he had thus reached a total of something over twenty-three hours he slept up to the limit of twenty-four hours, and then died in his sleep.— BALL, WWR History of Mathematics (London, 1911), p.
Side 62 - A horse and a donkey, laden with corn, were walking together. The horse said to the donkey: "If you gave me one measure of corn, I should carry twice as much as you, but if I gave you one, we should carry equal burdens.