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accurate Albert Girard algebraic Alhazen analysis ancient angles appears applied Archimedes astronomer axis Bacon Bernoulli calculus cause centre centrifugal force circle colour conclusion considered Copernicus curve deduced degree Descartes direction discovered discoveries distance earth effect employed entirely epicycle equal equation error experiment explained facts fluid fluxions force Galileo genius geometer geometry given gravity heavens Huygens infinitely ingenious inquire instantiae instruments invention investigation John Bernoulli Kepler knowledge known laws of Kepler Leibnitz light mathematical mathematicians matter means measure ment method method of Exhaustions method of fluxions moon moon’s motion moving body natural philosophy nature Newton objects observed optical orbit phenomena philosopher physical planets principle problem produced proposition Ptolemy quadrature ratio rays reasoning rectilineal refraction remarkable resolved seemed solution square stars supposed surface telescope theory thing tion treatise true truth Tycho variable quantities velocity vis viva
Página 163 - his fabric of the Heavens Hath left to their disputes, perhaps to move His laughter at their quaint opinions wide Hereafter, when they come to model Heaven And calculate the stars, how they will wield The mighty frame, how build, unbuild, contrive To save appearances, how gird the sphere With centrick and eccentrick scribbled o'er, Cycle and epicycle, orb in orb.
Página 115 - mind which could form such a plan beforehand, and trace not merely the outline, but many of the most minute ramifications, of sciences which did not yet exist, must be an object of admiration to all succeeding ages. He is destined, if, indeed, any thing in the world be so destined, to remain an
Página 73 - we should generalize slowly, going from particular things to those that are but one step more general ; from those to others of still greater extent, and so on to such as are universal. By such means, we may hope to arrive at principles, not vague and obscure, but luminous and well-defined, such as nature herself will not refuse to acknowledge.
Página 109 - crucis is of such weight in matters of induction, that in all those branches of science where it cannot easily be resorted to, (the circumstances of an experiment being out of our power, and incapable of being varied at pleasure,) there is often a great want of conclusive evidence. This holds of agriculture, medicine, political
Página 114 - later ; and whether there be not, with respect to the heavenly bodies, a true time and an apparent time, no less than a true place and an apparent place, as astronomers say, on account of parallax. For it seems incredible that the species or rays of the celestial bodies can pass through the immense