The Mathematical Principles of Mechanical Philosophy: And Their Application to the Theory of Universal Gravitation

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J. & J. J. Deighton, 1841 - 598 páginas
 

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Página 533 - D'Alembert, was the Precession of the equinoxes and the Nutation of the earth's axis, according to the theory of gravitation.
Página 505 - A uniform ladder, 10 feet long, rests with one end against a smooth vertical wall and the other on the ground, the coefficient of friction between the ladder and the ground being J.
Página 523 - Let us express a in terms of the ratio of the centrifugal force at the equator to the equatorial gravity. Call this ratio m, which is small in the case of the earth, being of the same order as g.
Página 4 - Weight is the name given to the pressure which the attraction of the Earth causes a body to exert on another with which it is in contact.
Página 139 - Gravitation is, that every particle of matter attracts every other particle with a force which varies directly as the mass of the attracting particle, and inversely as the square of the distance.
Página 71 - The portions of the lever into which the fulcrum divides it are called the arms of the lever : when the arms are in the same straight line, it is called a straight lever, and in other cases a bent lever.
Página 6 - If two forces act on a body in opposite directions their resultant is equal to their difference and acts in the direction of the greater; thus two forces acting in opposite directions and equal to 9 and 4 Ibs.
Página 231 - Hence the orbit described about this centre of force will be an ellipse, parabola, or hyperbola according as the velocity is less than, equal to, or greater than that from infinity.
Página 73 - ... grate. Scissors, shears, nippers, pincers, and other similar instruments are composed of two levers of the first kind; the fulcrum being the joint or pivot, and the weight the resistance of the substance to be cut or seized ; the power being the fingers applied at the other end of the levers. The brake of a pump is a lever of the first kind; the pump-rods and piston being the weight to be raised.
Página 554 - ... the orbit of a planet, whose periodical revolution is performed in the same time as the sun's rotary motion about its axis, or in twenty-five days and a half : therefore it does not extend so far as the orbits of Mercury and Venus, and we know that the zodiacal light extends much beyond them. (2). " The ratio of the polar to the equatorial diameter of the solar atmosphere cannot be less than...

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