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Newton's Principia: The Mathematical Principles of Natural Philosophy
Isaac Newton,N W Chittenden
Nincs elérhető előnézet - 2018
according action angle appear arising ascend attracted axis become beginning body Book cause centre centripetal force circle comet common continually curve density descend described determined diameter difference diminished direction directly distance draw drawn duplicate ratio earth ellipsis equal equator fall feet figure fluid given globe gravity greater greatest head Hence inches increased Jupiter length less light manner matter mean medium meeting moon motion move nearly nodes observations orbit oscillations parallel particles pass pendulum periodic perpendicular plane position PROBLEM produced Prop proportional PROPOSITION quadratures quantity radius ratio reason recede reciprocally rectangle remain resistance rest revolve right line side similar sine space sphere square stars suppose syzygies tail tangent tending thence THEOREM things third tion trajectory velocity weight whole
81. oldal - flows equably without regard to anything external, and by another name is called duration : relative, apparent, and common time, is some sensible and external (whether accurate or unequable) measure of duration by the means of motion, which is commonly used instead of true time ; such as an hour, a day, a month, a year.
39. oldal - that—" this most beautiful system of the sun, planets and comets, could only proceed from the counsel and dominion of an intelligent and powerful Being. And if the fixed stars are the centres of other like systems, these, being formed by the like wise
40. oldal - space, but he endures and is present. He endures forever and is everywhere present ; and by existing »always and everywhere, he constitutes duration and space. Since every particle of space is always, and every indivisible moment of duration is everywhere, certainly the Maker and Lord of things cannot be never and nowhere.
86. oldal - it. AXIOMS, OR LAWS OF MOTION. LAW I. Every body perseveres in its state of rest, or of uniform motion in a right line, unless it is compelled to change that state by forces impressed
406. oldal - and in America ; the light of our culinary fire and of the sun ; the reflection of light in the earth, and in the planets. RULE III. The qualities of bodies, which admit neither intension nor remission of degrees, and which are found to belong to all bodies within the
64. oldal - A short time before his death he uttered this memorable sentiment:—" 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, while the great ocean of truth lay all undiscovered before me.
72. oldal - the forces of gravity with which bodies tend to the sun and the several planets. Then from these forces, by other propositions which are also mathematical, we deduce the motions of the planets, the comets, the moon, and the sea. I wish we could derive the rest of the
81. oldal - or celestial space, determined by its position in respect of the earth. Absolute and : relative space, are the same in figure and magnitude ; but they do not remain always numerically the same. For if the earth, for instance, moves, a space of our air, which relatively and in respect of the earth remains
526. oldal - hath placed those systems at immense distances one from another. This Being governs all things, not as the soul of the world, but as Lord over all ; and on account of his dominion he is wont to be called Lord God
72. oldal - and to this end the general propositions in the first and second book are directed. In the third book we give an example of this in the explication of the System of the World ; for by the propositions mathematically demonstrated in the former books, we in the third derive from the celestial