 | John Martin Frederick Wright - 1827 - 358 pages
...Hamilton's Paper. NEWTON'S PRINCIPIA. BOOK I. 1. (1) The centripetal force (F) in any curve = Q — p^ — , (p) being the perpendicular from the centre of force on the tangent, at distance (x) Determine Q. (2) Find the value of (F) in the ellipse—- the force tending to the... | |
 | John Martin Frederick Wright - Astronomy - 1831 - 282 pages
...curve described. TRINITY COLLEGE, 1820. 1. (1 ). 'THE centripetal force (F) in any curve = Q . -~- , (p) being the perpendicular from the centre of force on the tangent, at distance (*). Determine Q. (2). Find the value of (F) in the ellipse — the force tending to the... | |
 | Joseph Wolstenholme - Mathematics - 1867 - 368 pages
...velocity at any point is to the velocit)7 in a circle at that distance as 1 : Jn ; prove- that p <x r", p being the perpendicular from the centre of force on the tangent at a point whose distance is r. Prove also that the force varies inversely as r"+1. 1399. A particle... | |
 | W. J. C. Miller - Mathematics - 1874 - 172 pages
...forces J v we know that the former leads to v ар'*, we shall have in the latter »~ oc^_1 or v ч. p, p being the perpendicular from the centre of force...in the ellipse, if p, p' be the perpendiculars from the two foci, pp' = constant, hence in the free path about one focus vx p'* а ff, or the path is a... | |
 | Joseph Wolstenholme - Mathematics - 1878 - 538 pages
...velocity at any point is to the velocity in a circle at that distance as 1 : »/n : prove that px r", p being the perpendicular from the centre of force on the tangent at a point whose distance is r, and that the force will vary inversely as r*" + 1. If the force be... | |
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... p being the perpendicular from the centre of force on the tangent. But in the ellipse, if p, p... 