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 254
the force being central, h is unaltered; therefore, if SLbe the semi-latus rectum, //,. SL is unaltered, or SL is the semi-latus rectum of the new orbit, and the axis major is perpendicular to SL. 9. The velocity at any point of an ellipse about a force inthe focus is compounded of two uniform… … perpendicular to the three directions; therefore the velocity represented by HZ in magnitude is the resultant of the two represented by CZ and HC; but the velocity perpendicular to HZ=-gy= -^ . HZ-, therefore the velocities, perpendicular to HC and CZ, are ^ ae, and — a = ^- and ^ , since u, — =…
Mechanics · Celestial mechanics
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