Proceedings, volume 25, part 1

Cover Proceedings, volume 25, part 1
Proceedings, volume 25, part 1
Royal Society of Edinburgh
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S T is contn>lltHl by guides E and F, so that it can only move in a direction jx^rallel to OY.
IVlow the arm P (^, and fixtnl rigidly lo it Wlow A, i^ a sm.Ul Digitized by Googk 1903-4.] J. Erskine Murray on a Differentiating Machine, 279 plate of celluloid, not shown in the diagram, on the under side of which are two dots hy which the machine is guided along the curve. The line through the dots is parallel to PQ. The celluloid rests on the paper ou which the original curve is drawn, thus suppo
...rting the outer end of the frame A B G D.
Since the distance AY between the pin and the centre line Fm Fio. 1.
of ST is constant, and since RY/AV hdyldXy it is clear that the distance R V which R is displaced above or below the zero line AV measures the tangent of the angle of slope of the curve, i,e, dy/dx. A pen at the end T of ST records the movements of B^ and therefore traces a curve of which the ordinates are proportional to the rate of change of the ordinate of the original curve. It should be noticed that the purpose of Digitized by Googk 280 Proceedings of Royal Society of Edinburgh, [sbss.


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