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)
, 2TcosAPG— — , and %p cosAPQ = chord of curvature through A = 4:PA ; therefore V 1 r = 4:PA ^ PA (5) A hody revolves in a smooth circular tube under the actionof a force tending to any point in the circumference^ and varyingas the distance from that point. Find the pressure on the tuhe^ andthe… … diameter through the centre of force, Am^ Qn perpendicular onCP] let fi.PA be the measure of the accelerating effect of theforce at P; therefore fi.mA^ ix.Pm are those of the tangentialand normal forces, =/A.Pil/and /*.-4ilf respectively. 184 NEWTON. (vel.) at ^-(vel.) at P=2/t.PJf.P(9=2/A.CP.i¥A^…
Mechanics · Celestial mechanics
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