The Mathematical Principles of Natural Philosophy, Volume 3,Edizione 3H.D. Symonds, 1803 - 231 pagine |
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ABFD abfolute æther afcend afcent alfo angle aphelion apogee apparent diameter appear arifing axis becauſe body cafe cauſe centre of gravity centripetal force circle comet decreaſes defcend defcribed denfity diminiſhed diſtance diurnal motion earth ellipfis elliptic equal equation faid fame ratio fatellite fecond feen fenfible fide fimilar fince firft firſt fixed ftars fmall fome fpace fplendor fquare fuch fuppofe furface fyzygies given greater greateſt hyperbola increaſed interfection itſelf Jupiter latus rectum leaft leffer lefs light magnitude mean motion meaſured moon moon's moſt muſt nearer nearly node obfervations oppofite orbit paffing parallax perihelion planets pofition prop quadratures quantity of matter radius reafon refiftance reprefent reſpect revolution revolved rifing right line Saturn ſhould Sir Ifaac Newton ſmall ſpace ſtars tail tangent teleſcope thefe thence theſe thofe thoſe tides tion triplicate velocity Whence whofe
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Pagina 3 - We may therefore suppose the velocity to be so increased, that it would describe an arc of 1, 2, 5, 10, 100, 1000 miles before it arrived at the earth, till at last, exceeding the limits of the earth, it should pass into space without touching it.
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 3 - But our purpose is only to trace out the quantity and properties of this force from the phenomena, and to apply what we discover in some simple cases as principles, by which, in a mathematical way, we may estimate the effects thereof in more involved cases; for it would be endless and impossible to bring every particular to direct and immediate observation.
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...