Abstract
SummaryWe state and prove a surprising incidence theorem that was discovered with the help of a computer graphics program. The theorem involves sixteen points on ten lines and five circles; our proof relies on theorems of Euclid, Menelaus, and Ceva. The result bears a striking resemblance to Miquel's 5-circle theorem, but as far as we can determine, the relationship of our result to known incidence theorems is superficial.
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