The Mathematical Principles of Natural Philosophy, Volume 3,Edizione 3 
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Mathematical Principles of Natural Philosophy and His System of ..., Volume 1 Sir Isaac Newton Visualizzazione frammento  1934 
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ABFD according action angle aphelion apogee apparent diameter appear appulse apsis ascent astronomers attracted axis body centre of gravity centripetal force circle circumsolar force comet common centre computation conic sections curve cylinder density described difference diminished diurnal motion duplicate proportion duplicate ratio earth eccentricity ellipsis elliptic error faid fame fatellite fixed stars flood fluxion focus force of gravity fore given globe greater greatest equation height hence hyperbola Jupiter less libration light longitude magnitude mean anomaly mean distance mean motion moon moon's orbit move nearer nearly node observations orbs parabola parallax perihelion periodic planets prop quadratures quantity of matter radius reciprocally resistance revolution revolved right line round Saturn semiaxes semidiameters sine Sir Isaac Newton space square subduplicate suppose syzygies tail tangent thence tion velocity Venus Whence whole
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Pagina 39  Thus in the space of 24 hours the waters would come, not twice, as commonly, but once only to their greatest, and once only to their least height; and their greatest height, if the moon declined towards the elevated pole, would happen at the...
Pagina 9  Boulliau have, with great care (p, 404), determined the distances of the planets from the sun; and hence it is that their tables agree best with the heavens. And in all the planets, in Jupiter and Mars, in Saturn and the earth, as well as in Venus and Mercury, the cubes of their distances are as the squares of their periodic times; and therefore (by Cor.
Pagina 34  ... the luminaries their forces will be conjoined and bring on the greatest flood and ebb. In the quadratures the sun will raise the waters which the moon depresses, and depress the waters which the moon raises, and from the difference of their forces the smallest of all tides will follow. And because (as experience tells us) the force of the moon is greater than that of the sun, the greatest height of the waters will happen about the third lunar hour.
Pagina 20  ... upon all the gold to the action of the same upon all the wood; that is, as the weight of the one to the weight of the other: and the like happened in the other bodies. By these experiments, in bodies of the same weight, I could manifestly have discovered a difference of matter less than the thousandth part of the whole, had any such been.
Pagina 36  ... summer, it comes to pass that the greatest and least tides more frequently appear before than after the vernal equinox, and more frequently after than before the autumnal.
Pagina 37  Bristol do not differ much more one from the other than by the height of a foot or 15 inches, and that the greatest tides of all at those ports are not the first but the third after the syzygies. And, besides, all the motions are retarded in their passage through shallow channels, so that the greatest tides of all, in some straits and mouths of rivers, are the fourth or even the...
Pagina 10  But Tycho, and all that follow his tables of refraction, making the refractions of the sun and moon (altogether against the nature of light) to exceed those of the fixed stars, and that by about four or five minutes in the horizon, did thereby augment the horizontal parallax of the moon by about the like number of minutes; that is, by about the I2th or I5th part of the whole parallax.
Pagina 10  ... 43', as astronomers have determined it. And (by cor. 6, prop. 4) a body revolved in our air, near the surface of the earth, supposed at rest, by means of a centripetal force which should be to the same force at the distance of the moon in the reciprocal duplicate proportion of the distances from the centre of the earth, that is, as 3600 to 1, would...