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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 246

An illustration from Newton's Principia, sections I, II, III, with notes and illustrations. Also a collection of problems, 1863, leaf 246
ation, also depending on the properties of the hodograph, I am indebted to Professor Tait, of Edinburgh, to whom I proposed the problem toshew that the feet of the perpendiculars from the center of forceon the direction of motion of the projected body always lie in acircle or straight line. 198.… … T Draw SY, SZ, perpendicular to AB, BC\ produce Y8, Z8to T, Z making Y8. SY = ZS. SZf. Then SY, SZ represent the velocities in AB, BC in magnitude, and are perpendicular to the directions of motion; .-. SY : SZ :: Be : BCy and / YSZ = * YSZ= t YBZ; Q2 228 NEWTON. therefore the triangles cBC, YSZ…

Mechanics · Celestial mechanics

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More pictures from Newton's Principia, sections I, II, III, with notes and illustrations. Also a collection of problems

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