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An extension of de Longchamps' chain of theorems

Published online by Cambridge University Press:  20 January 2009

H. W. Richmond
Affiliation:
King's College, Cambridge.
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1. Points, n in number, A, B, C, D, E, … ., are taken at random in a plane, and through each is drawn a line in a random direction. The only condition imposed is that no two of these lines may be parallel.

(i). Two points A, B, define a circle S (AB) which passes through A, B and the intersection of the random lines through A and B. Its centre is denoted by (AB). Each pair of the points gives such a circle and centre.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1939

References

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