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

@article{Tsukerman2014SolutionOS,
  title={Solution of Sondow's Problem: A Synthetic Proof of the Tangency Property of the Parbelos},
  author={E. Tsukerman},
  journal={The American Mathematical Monthly},
  year={2014},
  volume={121},
  pages={438 - 443}
}
  • E. Tsukerman
  • Published 2014
  • Mathematics, Computer Science
  • The American Mathematical Monthly
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. 
The Parbelos, a Parabolic Analog of the Arbelos
  • J. Sondow
  • Mathematics, Computer Science
  • Am. Math. Mon.
  • 2013
Hypergeometry of the Parbelos
Characterisations of the parabola

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