Solution of Sondow's Problem: A Synthetic Proof of the Tangency Property of the Parbelos

Emmanuel Tsukerman
2014 The American mathematical monthly  
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more » ... y. Abstract. In a recent paper titled The parbelos, a parabolic analog of the arbelos, Sondow asks for a synthetic proof to the tangency property of the parbelos. In this paper, we resolve this question by introducing a converse to Lambert's Theorem on the parabola. In the process, we prove some new properties of the parbelos.
doi:10.4169/amer.math.monthly.121.05.438 fatcat:kiefc37qv5aypfsoomlgppirzm