Tracenpoche IGS: Triangle, Medians, Six Circumcenters Concyclic points

Geometry Problem
Using TracenPoche Interactive Geometry Software. Step-by-Step construction, Manipulation, and animation.
Level: Mathematics Education, High School, Honors Geometry, College.

Click the figure below to see the dynamic geometry of the circle of van Lamoen.

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Geometry Problem 756: Four Circles Theorem

Geometry Problem
Level: Mathematics Education, High School, Honors Geometry, College.

Using TracenPoche Interactive Dynamic Software. Step-by-Step construction, Manipulation, and animation.
Click the figure below to interact with the problem 756 details.

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TracenPoche Interactive Geometry Software Applications

Index

Click the figure below to see TracenPoche Interactive Geometry Software Applications.


See also:
TracenPoche Interactive Geometry Software Applications
Geometry Index

Level: High School, SAT Prep, College geometry

Bottema's Theorem: Triangle and Squares

Dynamic Geometry Software. Step-by-Step construction, Manipulation, and animation
Draw squares ABDE and BCFG on sides AB and BC of a triangle ABC. Then the midpoint M of EF is independent of B and the triangle AMC is an isosceles right triangle.



Continue reading at:
gogeometry.com/geometry/bottema_theorem_triangle_square.htm

Archimedes' Arbelos and Square 2

Dynamic Geometry Software. Step-by-Step construction, Manipulation, and animation
In the figure, a circle D is inscribed in the arbelos ABC (AB, BC and AC are semicircles), prove that KLFM is a square.



Continue reading at:
gogeometry.com/geometry/archimedes_arbelo_circle_square_2.htm

Archimedes' Arbelos and Square

Dynamic Geometry Software. Step-by-Step construction, Manipulation, and animation
In the figure, a circle D is inscribed in the arbelos ABC (AB, BC and AC are semicircles), prove that ELBK is a square.



Continue reading at:
gogeometry.com/geometry/archimedes_arbelo_circle_square.htm