The Mathematical Principles of Natural Philosophy, Tom 2H.D. Symond, 1803 |
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Strona 47
... orbits AEB , BFC , CGD , & c . directly , and the velocities at the beginnings A , B , C of those orbits inverfe- ly ; that is , as AS3 , AS , BS , CS . And the whole time in which the body will arrive at the centre , will be to the ...
... orbits AEB , BFC , CGD , & c . directly , and the velocities at the beginnings A , B , C of those orbits inverfe- ly ; that is , as AS3 , AS , BS , CS . And the whole time in which the body will arrive at the centre , will be to the ...
Strona 157
... orbit , it will recede from the centre , and in its revolution describe a spiral , returning no longer into the fame orbit . And , by the fame argu- ment , if it be more rare , it will approach to the centre . Therefore it can never ...
... orbit , it will recede from the centre , and in its revolution describe a spiral , returning no longer into the fame orbit . And , by the fame argu- ment , if it be more rare , it will approach to the centre . Therefore it can never ...
Strona 158
... orbit , is relatively quiefcent in the fluid that carries it . COR . 2. And if the vortex be of an uniform denfity ... orbits defcrib- ed about the fun S , of which let the utmoft circle CF be concentric to the fun ; and let the aphelia ...
... orbit , is relatively quiefcent in the fluid that carries it . COR . 2. And if the vortex be of an uniform denfity ... orbits defcrib- ed about the fun S , of which let the utmoft circle CF be concentric to the fun ; and let the aphelia ...
Strona 162
... the fefquiplicate proportion of the femi - diameters of their orbits ; and fo it manifeftly appears from the follow- ing table The periodic times of the fatellites of Jupiter . 1. 162 Book III . MATHEMATICAL PRINCIPLES.
... the fefquiplicate proportion of the femi - diameters of their orbits ; and fo it manifeftly appears from the follow- ing table The periodic times of the fatellites of Jupiter . 1. 162 Book III . MATHEMATICAL PRINCIPLES.
Strona 165
... orbits are the fame , whether the fun revolves about the earth , or the earth about the fun . And as to the measures of the periodic times , all aftronomers are agreed about them . But for the dimenfions of the orbits , Kepler and ...
... orbits are the fame , whether the fun revolves about the earth , or the earth about the fun . And as to the measures of the periodic times , all aftronomers are agreed about them . But for the dimenfions of the orbits , Kepler and ...
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afcent alfo alſo angle aphelion arifing axis becauſe body cafe centre centripetal force circle comet conjunctly cylinder decrement defcend defcribed denfity diameter diminiſhed diſtance diurnal motion duplicate ratio earth ecliptic ellipfis equal equator fame ratio fatellite fecond feet femi-diameter fhould fide fimilar fince firft firſt fituated fixed ftars fluid folid fome force of gravity fpace fquare fubduplicate ratio fuch fun's fuperficies fuppofe furface fyzygies given globe greater greateſt horary motion hyperbola inches increaſed Jupiter latitude latus rectum lefs length mean motion meaſure medium moon moon's move muſt nearly nodes obfervations ofcillations orbit paffing parabola particles pendulum perihelion perpendicular planets pofition preffure progreffion prop proportion PROPOSITION pulfes quadratures radius reafon reciprocally rectangle refiftance refpect repreſent reſiſtance revolve right line Saturn SCHOLIUM ſpace ſtars tail thefe themſelves THEOREM theſe thofe thoſe tion veffel velocity vortex weight whofe whole
Popularne fragmenty
Strona 160 - In experimental philosophy we are to look upon propositions inferred by general induction from phenomena as accurately or very nearly true, notwithstanding any contrary hypotheses that may be imagined, till such time as other phenomena occur, by which they may either be made more accurate, or liable to exceptions.
Strona 158 - Upon this subject I had, indeed, composed the third Book in a popular method, that it might be read by many; but afterwards, considering that such as had not sufficiently entered into the principles could not easily discern the strength of the consequences, nor lay aside the prejudices to which they had been many years accustomed, therefore, to prevent the disputes which might be raised upon such accounts, I chose to reduce...
Strona 312 - ... all sensation is excited, and the members of animal bodies move at the command of the will, namely, by the vibrations of this spirit, mutually propagated along the solid filaments of the nerves, from the outward organs of sense to the brain, and from the brain into the muscles.
Strona 310 - Whence also He is all similar, all eye, all ear, all brain, all arm, all power to perceive, to understand, and to act ; but in a manner not at all human, in a manner not at all corporeal, in a manner utterly unknown to us.
Strona 309 - And from his true dominion it follows that the true God is a living, intelligent, and powerful Being; and from his other perfections, that he is supreme, or most perfect. He is eternal and infinite, omnipotent and omniscient; that is, his duration reaches from eternity to eternity; his presence from infinity to infinity; he governs all things, and knows all things that are or can be done.
Strona 309 - He is not eternity or infinity, but eternal and infinite; he is not duration or space, but he endures and is present. He endures for ever, and is every where present; and by existing always and every where, he constitutes duration and space.
Strona 92 - If the figure DNFG be such a curve, that if, from any point thereof, as N, the perpendicular NM be let fall on the axis AB, and from the given point G there be drawn...
Strona 310 - As a blind man has no idea of colours, so have we no idea of the manner by which the all-wise God perceives and understands all things. He is utterly void of all body and bodily figure, and can therefore neither be seen nor heard nor touched ; nor ought He to be worshipped under the representation of any corporeal thing. We have ideas of His attributes, but what the real substance of anything is, we know not.
Strona 158 - The qualities of bodies, which admit neither intensification nor remission of degrees, and which are found to belong to all bodies within the reach of our experiments, are to be esteemed the universal qualities of all bodies whatsoever.
Strona 54 - B, from B to C, from C to D, from D to E, and from E to A ; and measure the distances AB, BC, CD, DE, and EA.