The Philosophical magazine; a journal of theoretical, experimental and applied physics . 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,. and the product 7il will equal the area A a a b B. If this motionbe continued, B being always kept in the i)ath bbB until ABoccupies its initial position, the product ?// will equal the areaA a
The Philosophical magazine; a journal of theoretical, experimental and applied physics . 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,. and the product 7il will equal the area A a a b B. If this motionbe continued, B being always kept in the i)ath bbB until ABoccupies its initial position, the product ?// will equal the areaA a a A, whatever be the nature of the line B // b. Also for thewhole motion ^ = 0; so that the circumferential travel of thewlucl at D = ti, entirely indcpeiideiitly of the value of 7/i. On the Polarization of the Zodiacal Light. 13 Now in Amslers planimeter the point B is constrained tomove in the arc of a ciicle, while the pencil A is traced roundthe contour of the required area ; this is simply a limitation ofthe more general case taken above. Also the wheel whosetravel is measured is placed away from the centre of the bar C,and indeed on the opposite side of 13 ; but, as we have seen, itsposition, so long as its centre is on the line A B, is quite imma-terial, its motion in the aggregate being the same as if it wereplaced at C. In the planimeter the length / is capable of variation ;. so that,
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