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Two Theorems on the Convex Oval
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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.
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