The Mathematical Principles of Natural Philosophy, Tom 2H.D. Symond, 1803 |
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Strona 49
... square of the time , that force will be given . Then from the difference RSr of the areas PSQ and QSR defcribed in equal particles of time , the retardation of the body will be given ; and from the retardation will be found the ...
... square of the time , that force will be given . Then from the difference RSr of the areas PSQ and QSR defcribed in equal particles of time , the retardation of the body will be given ; and from the retardation will be found the ...
Strona 60
... square DP urges the inclofed fluid will be to the preffure with which that fquare db urges the inclofed fluid as the denfities of the mediums are to each other , that is , as ab3 to AB3 . But the preffure with which the fquare DB urges ...
... square DP urges the inclofed fluid will be to the preffure with which that fquare db urges the inclofed fluid as the denfities of the mediums are to each other , that is , as ab3 to AB3 . But the preffure with which the fquare DB urges ...
Strona 61
... square DP urges the fame fluid as the fquare DB to the fquare DP , that is , as AB2 to ab2 . Therefore , ex æquo , the preffure with which the square DB urges the fluid is to the preffure with which the fquare.db urges the fluid as ab ...
... square DP urges the fame fluid as the fquare DB to the fquare DP , that is , as AB2 to ab2 . Therefore , ex æquo , the preffure with which the square DB urges the fluid is to the preffure with which the fquare.db urges the fluid as ab ...
Strona 82
... square of the time diminished in the fame duplicate ratio . The pendulums , there- fore , being of equal velocities , there were equal motions loft in 535 ofcillations in the air , and 1 in the water ; and there- fore the refiftance of ...
... square of the time diminished in the fame duplicate ratio . The pendulums , there- fore , being of equal velocities , there were equal motions loft in 535 ofcillations in the air , and 1 in the water ; and there- fore the refiftance of ...
Strona 83
... square of the velocity ; but I found ( which will per- haps feem ftrange ) that the refiftance in the water was aug- mented in more than a duplicate ratio of the velocity . In fearching after the cause , I thought upon this , that the ...
... square of the velocity ; but I found ( which will per- haps feem ftrange ) that the refiftance in the water was aug- mented in more than a duplicate ratio of the velocity . In fearching after the cause , I thought upon this , that the ...
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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.