The Mathematical Principles of Natural Philosophy, Tom 2H.D. Symond, 1803 |
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... space gone over , then , by compofition , the motion loft in the whole time will be as the whole space gone over . Q.E.D. COR . Therefore if the body , deftitute of all gravity , move by its innate force only in free spaces , and there ...
... space gone over , then , by compofition , the motion loft in the whole time will be as the whole space gone over . Q.E.D. COR . Therefore if the body , deftitute of all gravity , move by its innate force only in free spaces , and there ...
Strona 1
... space gone over , then , by compofition , the motion loft in the whole time will be as the whole space gone over . Q.E.D. COR . Therefore if the body , deftitute of all gravity , move by its innate force only in free spaces , and there ...
... space gone over , then , by compofition , the motion loft in the whole time will be as the whole space gone over . Q.E.D. COR . Therefore if the body , deftitute of all gravity , move by its innate force only in free spaces , and there ...
Strona 2
... spaces de- fcribed in each of the times are as the velocities . ( Pl.'1 , Fig . 1. ) CASE 1. Let the time be divided into equal particles ; and if at the very beginning of each particle we fuppose the re- fiftance to act with one fingle ...
... spaces de- fcribed in each of the times are as the velocities . ( Pl.'1 , Fig . 1. ) CASE 1. Let the time be divided into equal particles ; and if at the very beginning of each particle we fuppose the re- fiftance to act with one fingle ...
Strona 3
... space defcribed in that time by the line AD . For if that area , by the motion of the point D , be uniformly ... space EGge ; in the time DGBA , the space of the whole afcent EGB ; in the time ABKI , the space of defcent BFK ; and in the ...
... space defcribed in that time by the line AD . For if that area , by the motion of the point D , be uniformly ... space EGge ; in the time DGBA , the space of the whole afcent EGB ; in the time ABKI , the space of defcent BFK ; and in the ...
Strona 4
... spaces defcribed ; and also the areas ABqK , ABrL , ABSM , ABtN , & c . to the times . Therefore the body , in de- fcending , will in any time ABrL describe the space Blr , and in the time LrtN the space rint . Q.E.D. And the like de ...
... spaces defcribed ; and also the areas ABqK , ABrL , ABSM , ABtN , & c . to the times . Therefore the body , in de- fcending , will in any time ABrL describe the space Blr , and in the time LrtN the space rint . Q.E.D. And the like de ...
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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.