Two Theorems on the Convex Oval

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Authors

  • Calcutta ,IN

DOI:

https://doi.org/10.18311/jims/1937/17319

Abstract

It has been shown by Ganapati that all the cyclic points of a convex oval cannot lie on the same circle. The object of this note is to establish the following similar theorems:

THEOREM (A). The tangents to the oval at the cyclic points cannot all touch the same circle.

This theorem may in a sense be regarded as the dual of Ganapati's theorem, but is not derivable from his theorem by polar reciprocation.