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A Geometrical Construction for a Cardioid

Published online by Cambridge University Press:  03 November 2016

Extract

One of the best-known examples of a caustic curve in Geometrical Optics is that obtained by reflection from the arc of a circle of rays emanating from a point on the circumference of the circle. The enveloping curve is known to be a cardioid. It has not, however, I think, been pointed out that the analysis •of this problem leads to a very simple construction from which a cardioid •can be rapidly and accurately drawn.

Type
Research Article
Copyright
Copyright © Mathematical Association 1925

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