The book Analytical View of Sir Isaac Newtons Principia was written by author Henry Brougham Brougham And Vaux Here you can read free online of Analytical View of Sir Isaac Newtons Principia book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is Analytical View of Sir Isaac Newtons Principia a good or bad book?
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Again, since dv x xv* v -- v -- . Ax m ma d v x d x v + ~~ ma integrating throughout the motion So that if the spaces described are taken in Arithmetical Progression, the velocities augmented by a certain given quantity will be in Geometrical Progression. This is Newton's twelfth proposition. And by eliminating v be- tween the two equations, we can find x in terms of t. But the result is complicated and of little value. Secondly. Let us proceed to the more general case : we have dv _ x x v z d ...t m m ' a NEWTON'S PRINCIPIA. 207 dv k dt for the sake of brevity, put > and integrating, we get, after correction, log this will enable us to find / in terms of v, and, by solving the equation, v in terms- of t. If the particle be moving in the direction opposite to that in which f acts, and if, also the above integral becomes imaginary ; the true expression will manifestly be, if Again, we have dv x K v z v -7 f v . - ax m m a for the sake of brevity put o 2 mfa. c T+ ~^~ 4 x 208 NEWTON'S PRINCIPIA.
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