The Mathematical Principles of Natural Philosophy, Tom 2H.D. Symond, 1803 |
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Strona 1
... space will be to the space now de- fcribed as the whole motion at the beginning is to the part lost of that motion.- VOL . II . B LEMMA I. Quantities proportional to their differences are continually pro- 121622 OF THE MOTION OF BODIES. ...
... space will be to the space now de- fcribed as the whole motion at the beginning is to the part lost of that motion.- VOL . II . B LEMMA I. Quantities proportional to their differences are continually pro- 121622 OF THE MOTION OF BODIES. ...
Strona 2
... differences , and therefore ( by lem . 1 , book 2 ) continually proportional . Therefore if out of an equal number of particles there be compounded any equal por- tions of time , the velocities at the beginning of those times will be as ...
... differences , and therefore ( by lem . 1 , book 2 ) continually proportional . Therefore if out of an equal number of particles there be compounded any equal por- tions of time , the velocities at the beginning of those times will be as ...
Strona 4
... at the end of that time . COROL . 2. But the time being augmented in an arithme- tical progreffion , the fum of that greatest velocity and the velocity in the ascent , and also their difference in MATHEMATICAL PRINCIPLES Book II . ¦ ...
... at the end of that time . COROL . 2. But the time being augmented in an arithme- tical progreffion , the fum of that greatest velocity and the velocity in the ascent , and also their difference in MATHEMATICAL PRINCIPLES Book II . ¦ ...
Strona 5
... differences of the fpaces , which are described in equal differences of the times , decrease in the fame geometrical progreffion . COROL . 4. The space described by the body is the difference of two spaces , whereof one is as the time ...
... differences of the fpaces , which are described in equal differences of the times , decrease in the fame geometrical progreffion . COROL . 4. The space described by the body is the difference of two spaces , whereof one is as the time ...
Strona 8
... difference be expounded by the perpendicular MN . Repeat the fame a fecond and a third time , by affuming always a new ratio SM of the resistance to the gravity , and collecting a new difference MN . Draw the affirmative differences on ...
... difference be expounded by the perpendicular MN . Repeat the fame a fecond and a third time , by affuming always a new ratio SM of the resistance to the gravity , and collecting a new difference MN . Draw the affirmative differences on ...
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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.