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action already analytical appears applied Aristotle asserted astronomers attempts attraction Bernoulli bodies calculation Cartesian cause centre Clairaut colours comet conceived consequence consider crystal curve D'Alembert Daniel Bernoulli Descartes determined difficulty discovered discovery doctrine double refraction earth effect elasticity equilibrium Euler experiment explained facts Flamsteed fluid force Fresnel Galileo generalisation gravity Halley heat Huyghens hypothesis inclined plane inequalities John Bernoulli Jupiter Kepler labours Laplace laws of motion light manner mathematical mathematicians means measure mechanical Memoir method mode moon moon's nature Newton Newtonian theory nodal lines nodes notice nutation observations obtained Optics orbit particles period philosophers physical planets polarization Principia principle problem produced progress published quantity rays reasoning result satellites says Sect seen solution sound stars Stevinus string supposed surface tables temperature tion tonian traced truth undulations undulatory theory universal gravitation vapour velocity vibrations Voiron vortices weight
Page 354 - than half a degree each way. When we consider how simple the law of refraction is, (that the ratio of the sines of the angles of incidence and refraction is constant for the same medium,) it appears strange that a person attempting
Page 197 - he himself had been misled." In 1743 it was printed, Philosophy, that leaned on heaven before, Shrinks to her second cause, and is no more. The Newtonians repelled the charge of dealing in occult causes 7 ; and, referring gravity to the will of the Deity, as the First Cause, assumed a superiority over those whose philosophy rested in second causes. To the
Page 144 - of Milton's language: What if the sun Be centre to the world; and other stars, By his attractive virtue and their own Incited, dance about him various rounds ? Par. Lost, B. viii.
Page 161 - He went home, took out his old papers, and resumed his calculations. As they drew to a close, he was so much agitated that he was obliged to desire a friend to finish them." His former conjecture was now found to agree with the phenomena to a remarkable degree of precision. This conclusion, thus
Page 419 - of striated surfaces.''' He here states the general principle of interferences in the form of a proposition. (Prop, viii.) " When two undulations from different origins coincide either perfectly or very nearly in direction, their joint effect is a combination of the motions belonging to them." He explains, by the help of this proposition, the
Page 157 - as well of those that were to follow him as of those that went before." This was written, however, under the influence of some degree of mistake; and in a subsequent letter, Newton says, " Now I understand he was in some respects misrepresented to me, I wish I had spared the postscript to my last,
Page 187 - Say ye who best can tell, ye happy few, Who saw him in the softest lights of life, All unwithheld, indulging to his friends The vast unborrowed treasures of his mind, Oh, speak the wondrous man ! how mild, how calm, How greatly humble, how divinely good,
Page 134 - By this means, the first matter will be collected to the centre of each vortex, while the second, or subtle matter, surrounds it, and, by its centrifugal effort, constitutes light. The planets are carried round the sun by the motion of his vortex 7 , each planet being at such a distance from the sun as
Page 449 - opposition to it. It is, in fact, in all its applications and details, one succession of felicities; insomuch, that we may almost be induced to say, if it be not true, it deserves to be so." In France, Young's theory was little noticed or known, except perhaps by
Page 385 - as the law, which in all cases determines this angle, that " the index of refraction is the tangent of the angle of polarization." It follows from this, that the polarization takes place when the reflected and refracted rays are at right angles to each other. This simple and elegant rule has been fully confirmed by all subsequent observations, as by those of