The Life of Sir Isaac NewtonJ. & J. Harper, 1832 - 323 páginas |
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Página 170
... calculus . Roberval supposed the point which describes a curve to be actuated by two motions , by the compo- sition of which it moves in the direction of a tan- gent ; and had he possessed the method of fluxions , he could , in every ...
... calculus . Roberval supposed the point which describes a curve to be actuated by two motions , by the compo- sition of which it moves in the direction of a tan- gent ; and had he possessed the method of fluxions , he could , in every ...
Página 171
... calculus . In his method of deter- mining the maxima and minima of the ordinates of curves , he substitutes x + e for the independent variable x in the function which is to become a maximum , and as these two expressions should be equal ...
... calculus . In his method of deter- mining the maxima and minima of the ordinates of curves , he substitutes x + e for the independent variable x in the function which is to become a maximum , and as these two expressions should be equal ...
Página 172
... calculus to face and surmount . The whole claim of the French geometer arises from a confusion ( too often made ) of the calculus and its applications , the means and the end , under the sweeping head of nouveaux calculs ' on the one ...
... calculus to face and surmount . The whole claim of the French geometer arises from a confusion ( too often made ) of the calculus and its applications , the means and the end , under the sweeping head of nouveaux calculs ' on the one ...
Página 176
... calculus , in the second lemma of the second book . No infor- mation , however , is here given respecting the algo- rithm or notation of the calculus ; and it was not till 1693-5 [ ] that it was communicated to the mathemat- ical world ...
... calculus , in the second lemma of the second book . No infor- mation , however , is here given respecting the algo- rithm or notation of the calculus ; and it was not till 1693-5 [ ] that it was communicated to the mathemat- ical world ...
Página 181
... calculus ; but no apology can be made for the imprudence of withholding it any longer from the public . Had he published this noble discovery even previous to 1673 , when his great rival had not even entered upon those studies which led ...
... calculus ; but no apology can be made for the imprudence of withholding it any longer from the public . Had he published this noble discovery even previous to 1673 , when his great rival had not even entered upon those studies which led ...
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Términos y frases comunes
Abbé Conti appear astronomical attraction Bentley Biot blue bodies calculus Cambridge centre colours Colsterworth comets Commercium consequence considered curves dated degree Descartes differential calculus discoveries distance doctrine earth edition experiment favour Flamstead force fringes Galileo genius glass gravity Gregory Halley heat Hipparchus honour Hooke Huygens infinite inquiries invention James Gregory John Newton Keill Kepler labours Leibnitz letter London manuscript mathematical ment method of fluxions mind moon motion nature never Newtonian philosophy observations Oldenburg opinion Optics orbit papers Pepys phenomena philosopher planets possession Principia principles prism produced published quadrature rays received reflecting telescope refraction refrangibility remarkable Royal Society scholium seems Sir Isaac Newton space spectrum speculum stars supposed surface theory thickness thin plates tion tonian transmitted Trinity College truth Tycho Tycho Brahe views violet Whiston white light Woolsthorpe yellow
Pasajes populares
Página 300 - 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.
Página 251 - He gave this and the Prophecies of the Old Testament, not to gratify men's curiosities by enabling them to foreknow things, but that after they were fulfilled they might be interpreted by the event, and his own Providence, not the Interpreters, be then manifested thereby to the world.
Página 78 - ... that the ratio of the sines of the angles of incidence and refraction is constant for refraction in the same medium, was effected by Snell and Descartes.
Página 139 - I only hint at present to such as have ability and opportunity of prosecuting this inquiry, and are not wanting of industry for observing and calculating, wishing heartily such may be found, having myself many other things in hand, which I would first complete, and therefore cannot so well attend it. But this I...
Página 248 - For understanding the prophecies, we are, in the first place, to acquaint ourselves with the figurative language of the prophets. This language is taken from the analogy between the world natural and an empire or kingdom considered as a world politic.
Página 303 - he had a very lively and piercing eye, a comely and gracious aspect, with a fine head of hair as white as silver, without any baldness, and when his peruke was off was a venerable sight.
Página 149 - The third I now design to suppress. Philosophy is such an impertinently litigious lady, that a man had as good be engaged in lawsuits, as have to do with her.
Página 256 - WHEN I wrote my treatise about our system, I had an eye upon such principles as might work with considering men for the belief of a Deity ; and nothing can rejoice me more than to find it useful for that purpose.
Página 149 - I must again beg you," says he, "not to let your resentments run so high as to deprive us of your third book, wherein your applications of your mathematical doctrine to the theory of comets, and several curious experiments which, as I guess by what you write ought to compose it, will undoubtedly render it acceptable to those who will call themselves philosophers without mathematics, which are much the greater number.
Página 221 - I do not love to be printed upon every occasion, much less to be dunned and teased by foreigners about mathematical things, or to be thought by our own people to be trifling away my time about them, when I should be about the King's business.