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On isoptic families of curves

Published online by Cambridge University Press:  31 October 2008

H. W. Richmond
H. W. Richmond
Affiliation:
King's College, Cambridge
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1. Imagine that a number of straight lines, coplanar and concurrent, are united so as to form as it were a rigid frame. Imagine that this frame is moved (continuously) in the plane in such a way that two selected lines always touch two cycloids traced in the plane. Then it will be found that

Every line of the frame will move so as to envelope a cycloid.

Type
Research Article
Information
Edinburgh Mathematical Notes , Volume 36 , January 1947 , pp. 18 - 21
Copyright
Copyright © Edinburgh Mathematical Society 1947