## A Short Account of the History of Mathematics |

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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 angle applied Arabs Archimedes arithmetic astronomy authorities base born calculus called centre century chapter circle conic connection considered construction contains curve denote Desargues described determined died discussed divided earliest early edition equal equation Euclid example expressed fact figure four gave geometry given gives Greek hence illustration indicate interest introduced invention Italy knowledge known later lectures letters London mathematicians mathematics means mechanics mentioned method motion namely natural Newton notation obtained original Paris philosophy plane position practical principles probably problem proof propositions proved published quantity questions ratio represented roots rule seems shewed sides similar solution solved square subsequently symbols taken theorem theory third tion translation treated treatise triangle unknown various volumes writers written wrote

### Populære avsnitt

Side 332 - 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 359 - 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 sea-shore, 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 264 - The squares of the periodic times of the planets are proportional to the cubes of their mean distances from the Sun.

Side 345 - 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 10 - 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 335 - 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 47 - 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. For C may be multiplied, so as at length to become greater than AB.

Side 43 - BC when suffering from the plague of eruptive typhoid fever, consulted the oracle at Delos as to how they could stop it. Apollo replied that they must double the size of his altar, which was in the form of a cube. To the unlearned suppliants nothing seemed more easy, and a new altar was constructed...

Side 394 - 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 335 - 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.