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acceleration acquired appeared applied ball become body cause centre circumstances clear combination completely conception consider considerations contained continual continual variation definition dependence determined difficulty direction discussed distance easily edition effect electricity equal equilibrium exactly example excluded perpetual motion experience expressed fact forces function give given historical idea imagine important knowledge known law of causality law of inertia Leipzig Mach Mach's mass matter means measure mechanical merely move nature occur performed phenomena physics plane positions possible present principle published quantity of heat question reason referred relations remains remark represent respect resultant rule scientific seems sense simple space substance sufficient suppose theorem theory theory of heat things thought tion translation uniqueness universe variation velocity weights whole
Page 26 - BI, the rise of the ball always terminating exactly on the line CD. But -when the nail is placed so low that the remainder of the thread below it will not reach to the height CD (which would happen if the nail were placed nearer B than to the intersection of AB with the horizontal CD) then the 'thread leaps over the nail and twists itself about it.
Page 75 - Corpus omne perseverare in statu suo quiescendi vel movendi uniformiter in directum, nisi quatenus a viribus impressis cogitur statum ilium mutare. Lex I (in edition of i726). Corpus omne perseverare in statu suo quiescendi vel movendi uniformiter in directum, nisi quatenus illud a viribus impressis cogitur statum suum mutare.
Page 55 - Besides this collection of as many facts as possible in a synoptical form, natural science has yet another problem which is also economical in nature. It has to resolve the more complicated facts into as few and as simple ones as possible. This we call explaining. These simplest facts, to which we reduce the more complicated ones, are always unintelligible in themselves, that is to say, they are not further resolvable.
Page 26 - Now, gentlemen, you will be pleased to see the ball rise to the horizontal line at the point G, and the same thing also happen if the nail be placed lower as at F, in which case the ball would describe the arc BJ, always terminating its ascent precisely at the line C D.
Page 26 - Having performed this experiment and repeated it several times, let us drive in the wall, in the vertical AB, as at E or at F, a nail five or six inches long, so that the thread AC, carrying as before the ball through the arc CB, at the moment it reaches the position AB, shall strike the nail E, and the ball be thus compelled to move up the arc BG described about E as centre. Then we shall see what the same impetus will here accomplish, acquired now as before at the same point B, which then drove...
Page 86 - I became convinced that the intuition of space is bound up with the organization of the senses, and, consequently, that we are not justified in ascribing spatial properties to things which are not perceived by the senses.
Page 82 - Actioni contrariam semper et aequalem esse reactionem: sive corporum duorum actiones in se mutuo semper esse aequales et in partes contrarias dirigi.
Page 49 - What we represent to ourselves behind the appearances exists only in our understandin& and has for us only the value of a memoria technica or formula, whose form, because it is arbitrary and irrelevant, varies very easily with the standpoint of our culture.
Page 87 - By that, now, it became clear to me that, for the understanding, relations like those of space, and of any number of dimensions, are thinkable. My attempts to explain mechanically the spectra of the chemical elements and the divergence of the theory with experience strengthened my view that we must not represent to ourselves the chemical elements in a space of three dimensions. I did not venture, however, to speak of this candidly before orthodox physicists. My notices in Schlomilch's Zeitschrift...