Geometry: Nagel Points,
Theorems and Problems - Table of
Content
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![Nagel Point Theorems and Problems Index](nagel_point_index_1.jpg) |
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![](../NagelPoint170.jpg) |
Nagel Point
Theorem.
Concurrency. Interactive proof with Flash animation proof. |
![](../NagelPointPuzzle170.jpg) |
Puzzle of the Nagel
Point: 22 pieces of polygons. |
![](../nagelpointflow170.jpg) |
Nagel
Point Theorem - Flowchart Proof .
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![Geometry Problem 1455](../school-college/5/p1455-nagel-point-incircle-congruence-geogebra-ipad-1.jpg) |
Geometry
Problem 1455.
Nagel Point, Excircles, Incircle, Congruent Segments,
iPad. Step-by-step illustration using GeoGebra. |
![Triangle, Excircles, Tangent, Concurrency](../geometry/p689_triangle_excircles_1.jpg) |
Geometry Problem 689.
Triangle, Three Excircles, Tangency points, Tangent lines, Concurrent Lines, Mind Map. |
![Triangle, Excircles, COncurrency](../geometry/p687_triangle_excircles_1.jpg) |
Geometry Problem 687.
Triangle, Three Excircles, Tangency points, Concurrent Lines. |
![Outer Nagel Point](../geometry/p684_nagel_point_exterior_1.jpg) |
Geometry Problem 684:
Outer Nagel Point.
Triangle, Excircles, Incircle Tangency points, Concurrent lines, Semi-perimeter, Ceva theorem. |
![Nagel Point](../geometry/p683_nagel_point_interior_1.jpg) |
Geometry Problem 683:
Nagel Point.
Triangle, Excircles, Tangency points, Concurrent lines, Semi-perimeter, Ceva theorem. |
![Nagel Theorem](../problem/p138_nagel_theorem_17.jpg) |
Geometry Problem 138. Nagel's
Theorem, Orthic Triangle, Altitudes, Circumradius, Perpendicular. |
![Gergonne Point Theorem](../gergonne170x100.jpg) |
Gergonne Point Theorem. Concurrency.
Interactive proof with animation.
Key concept: Ceva's Theorem. |
![](../semiperimeter_excircle170.jpg) |
Semiperimeter and excircles of a triangle.
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![](../semiperimeter_incircle170.jpg) |
Semiperimeter and incircle of a triangle. |
![](../semiperimeter_in_exc170.jpg) |
Semiperimeter, incircle and excircles of a triangle.
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