Newton's principia, first book sections I, II, III, with notes and illustrations and a collection of problems, principally intended as examples of Newton's methods (1900)
kinetic energy at M is represented by the areaCAMPj it follows that throughout the motion the sum ofthe kinetic and potential energies is constant. Application to the determination of the motion of a jparticleunder various circumstances. (1) To find the space travelled over in a given time ly abody… … JT Let AB be divided into any number of equal portions ofwhich MN is one, and let JfP, NQ represent the velocities atthe ends of the times represented by AM^ AN. Then, since MP t NQ : BG :: A3P : AN : AB% a parabolacan be described touching AB and passing through P, Q^ Gand the extremities of all…
Mechanics · Celestial mechanics
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