Newton's Principia, sections I, II, III, with notes and illustrations. Also a collection of problems (1863)
Newton, Isaac, Sir, 1642-1727, Frost, Percival, 1817-1898 · Cambridge, London, Macmillan and Co · leaf 102
e space travelled over in a given time t by abody moving icith a velocity which varies as the square of the timefrom the beginning of the motion. Let AB represent the time, and let BC perpendicular to ABrepresent the velocity at the end of that time, i. e. let BC represent the space which would be… … Let AB be divided into any number of equal portions ofwhich MN is one, and let J/P, NQ represent the velocities atthe end of the times represented by AM, AN. Then, since HP : XQ : BC :: AM2 : AX2 : AW, G 2 84 NEWTON. a parabola, whose vertex is at A can be described, touching ABand passing through…
Mechanics · Celestial mechanics
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