The Philosophical magazine; a journal of theoretical, experimental and applied physics . e bar A B. Now vi^e may obtain that normal motion n by centring awheel on the bar at C, free to revolve in the plane at right angles * Coinuiunicated bv the Author. 12 !\lr. !\ p. Purvis oit Ains\eva Planhueter. ti) A U, and ristiii, at its circunitercncc on the pa])cr. Tliat n isi;ivcn by the circninfcnMitial motion of this wheel may be seenby considering again the elementary motion of the bar frt)m A Bto a/3: while the bar moves from AB to x ij, the wheel turnsthrough the normal distance from 7 to AB; wh
The Philosophical magazine; a journal of theoretical, experimental and applied physics . e bar A B. Now vi^e may obtain that normal motion n by centring awheel on the bar at C, free to revolve in the plane at right angles * Coinuiunicated bv the Author. 12 !\lr. !\ p. Purvis oit Ains\eva Planhueter. ti) A U, and ristiii, at its circunitercncc on the pa])cr. Tliat n isi;ivcn by the circninfcnMitial motion of this wheel may be seenby considering again the elementary motion of the bar frt)m A Bto a/3: while the bar moves from AB to x ij, the wheel turnsthrough the normal distance from 7 to AB; while the barturns about the point y, the wheel remains stationary. If instead of centring the wheel at C wc centre it at anyother point D, distant ni from C, its circumferential travel forllu; elementary motion will be the normal from r to A B( = </«)— mdd, and for the whole motion from A B to a i will be n —1116,where 6=- the inclination of a 6 to A B. If a retrograde motion be now given to the instrument, bring-iug it into the position ab, the product uL will still equal the. area included between A a a, Bbb, and the two straight linesA B and a b, part of that area being, in the case shown, negative ;n/ = Aaa IB — lbb. If instead of allowing B to take any pathbb we constrain it to move only along the line already traced,while A traces out a new line a a, the negative area w ill be nil,
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