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Geometry: Nagel Points, Theorems and Problems - Table of Content

Nagel Point Theorems and Problems Index

Nagel Point Theorem.
Concurrency. Interactive proof with Flash animation proof. 

Puzzle of the Nagel Point: 22 pieces of polygons.

Nagel Point Theorem - Flowchart Proof .
 

Triangle, Excircles, Tangent, Concurrency

Geometry Problem 689.
Triangle, Three Excircles, Tangency points, Tangent lines, Concurrent Lines, Mind Map.

Triangle, Excircles, COncurrency

Geometry Problem 687.
Triangle, Three Excircles, Tangency points, Concurrent Lines
.

Outer Nagel Point

Geometry Problem 684: Outer Nagel Point.
Triangle, Excircles, Incircle Tangency points, Concurrent lines, Semi-perimeter, Ceva theorem.

Nagel Point

Geometry Problem 683: Nagel Point.
Triangle, Excircles, Tangency points, Concurrent lines, Semi-perimeter, Ceva theorem.

Nagel Theorem

Geometry Problem 138. Nagel's Theorem, Orthic Triangle, Altitudes, Circumradius, Perpendicular.

Gergonne Point Theorem

Gergonne Point Theorem. Concurrency. Interactive proof with animation.

Key concept: Ceva's Theorem.

Semiperimeter and excircles of a triangle.

 

Semiperimeter and incircle of a triangle.

Semiperimeter, incircle and excircles of a triangle.

 

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