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 174
y so as todescribe a horizontal circle with uniform velocity. Find thevelocity and tension. Let A be the point of suspension, BC the radius of the circledescribed; therefore, the circle being described uniformly, the PROP. IV. THEOREM IV. 155 resultant force on the body tends to the center B, and… … /. T : W :: CA : AB,also, :ff::CB: AB-, AB and, if CD be perpendicular to AC, BC*=AB.BD-,therefore the velocity is that due to the space XL 1. If the sixth power of the velocity, in circles uniformly described, be inversely proportional to the square of the periodic time,shew that the law of force…
Mechanics · Celestial mechanics
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