A Short Account of the History of MathematicsMacmillan and Company, limited, 1908 - 522 σελίδες |
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Σελίδα v
... facts in the history of mathematics which many who are unwilling , or have not the time , to study it systematically may yet desire to know . In The first edition was substantially a transcript of some lectures which I delivered in the ...
... facts in the history of mathematics which many who are unwilling , or have not the time , to study it systematically may yet desire to know . In The first edition was substantially a transcript of some lectures which I delivered in the ...
Σελίδα vii
... fact mentioned . For the history previous to 1758 , I need only refer , once for all , to the closely printed pages ... facts to 1799 have been also enumerated in a supple- mentary volume issued by Prof. Cantor last year . I hope that my ...
... fact mentioned . For the history previous to 1758 , I need only refer , once for all , to the closely printed pages ... facts to 1799 have been also enumerated in a supple- mentary volume issued by Prof. Cantor last year . I hope that my ...
Σελίδα 2
... fact then that various nations in the vicinity of Greece had reached a high state of civilisation does not justify us in assuming that they had studied mathematics . The only races with whom the Greeks of Asia Minor ( amongst whom our ...
... fact then that various nations in the vicinity of Greece had reached a high state of civilisation does not justify us in assuming that they had studied mathematics . The only races with whom the Greeks of Asia Minor ( amongst whom our ...
Σελίδα 4
... fact that in early times their treatment presented considerable difficulty . The Egyptians and Greeks simplified the problem by reducing a fraction to the sum of several fractions , in each of which the numerator was unity , so that ...
... fact that in early times their treatment presented considerable difficulty . The Egyptians and Greeks simplified the problem by reducing a fraction to the sum of several fractions , in each of which the numerator was unity , so that ...
Σελίδα 7
... facts in the history of the Egyptian arts we must not press them too far as showing that geometry was then studied as a science . Our real knowledge of the nature of Egyptian geo- metry depends mainly on the Rhind papyrus . Ahmes ...
... facts in the history of the Egyptian arts we must not press them too far as showing that geometry was then studied as a science . Our real knowledge of the nature of Egyptian geo- metry depends mainly on the Rhind papyrus . Ahmes ...
Άλλες εκδόσεις - Προβολή όλων
A Short Account of the History of Mathematics Walter William Rouse Ball Περιορισμένη προεπισκόπηση - 1960 |
Συχνά εμφανιζόμενοι όροι και φράσεις
algebra analysis analytical geometry angle Apollonius Arab Archimedes arithmetic astronomy Athenian school Berlin Bernoulli born Brahmagupta Cambridge Cantor centre century chapter circle conic contains cube curve denote Descartes determined died differential calculus Diophantus discoveries discussed earliest edition enunciated equal Euclid Euclid's Elements Euler Fermat fluxions functions Gauss gave geometricians given Greek Greek mathematics Hipparchus history of mathematics infinitesimal calculus integral introduced invention investigations John Bernoulli known Lagrange Laplace later lectures Leibnitz Leipzig London mathe mathematicians mechanics memoirs mentioned method modern motion Newton notation obtained papers Paris philosophy plane Principia principles probably problem proof propositions published Pythagoras quadratic quadrature quantity ratio Regiomontanus roots shewed solution solved square straight line subsequently symbols tangent text-books theorem theory of numbers tion treatise triangle trigonometry Vieta volumes W. W. ROUSE BALL writers written wrote
Δημοφιλή αποσπάσματα
Σελίδα 323 - 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.
Σελίδα 349 - 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.
Σελίδα 256 - The squares of the periodic times of the planets are proportional to the cubes of their mean distances from the Sun.
Σελίδα 335 - 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.
Σελίδα 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.
Σελίδα 334 - had Newton proved this superb theorem — and we know from his own words that he had no expectation of so beautiful a result till it emerged from his mathematical investigation — than all the mechanism of the universe at once lay spread before him.
Σελίδα 326 - 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.
Σελίδα 45 - 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.
Σελίδα 486 - If a straight line meets two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles...
Σελίδα 41 - Philoponus,t it is asserted that the Athenians in 430 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...