Nagel Point: Flowchart Proof

This is a historical flowchart proof about the Nagel Point theorem.
It shows the logical chains of propositions and how the proof of:

  • Nagel Point theorem depends on the theorems: Ceva, and Semiperimeter & Excircles.

  • Ceva's theorem depends on the Menelaus theorem.

  • Menelaus theorem depends on Similarity of triangles and a transversal, etc.

For more details: click on the buttons Nagel Point, Ceva's theorem, Menelaus theorem, or Semiperimeter & Excircles.

Please, click on the link Ceva, Menelaus, Semiperimeter & Excircles, or Nagel.

 

See also:
Semiperimeter and Incircle
Semiperimeter and Excircles
Semiperimeter, Incircle and Excircles
Ceva's Theorem
Menelaus' theorem
Gergonne Point
Nagel Point
Triangle with the bisectors of the exterior angles. Collinearity

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Last updated: November 13, 2007