Problem 295: Archimedean Twin Circles, Arbelos, Semicircles, Harmonic Mean, Radii, Perpendicular

Proposed Problem
Click the figure below to see the complete problem 295 about Archimedean Twin Circles, Arbelos, Semicircles, Harmonic Mean, Radii, Perpendicular, Diameter.


See also:
Complete Problem 295
Collection of Geometry Problems

Level: High School, SAT Prep, College geometry

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.



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gogeometry.com/geometry/archimedes_arbelo_circle_square.htm

Archimedes' Book of Lemmas, Proposition #6

Arbelos
Exercise your brain. Archimedes wrote the "Book of Lemmas" more than 2200 years ago. Solve the proposition #6 (high school level) and lift up your geometry skills.



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gogeometry.com/ArchBooLem06.htm

Archimedes' Book of Lemmas, Proposition #5

Problem 644: Arbelos, Archimedean Twins
Exercise your brain. Archimedes wrote the "Book of Lemmas" more than 2200 years ago. Solve the proposition #5 (high school level) and lift up your geometry skills.



Continue reading at:
gogeometry.com/ArchBooLem05.htm

Archimedes' Book of Lemmas, Proposition #4, Arbelos

Problem 643
Exercise your brain. Archimedes wrote the "Book of Lemmas" more than 2200 years ago. Solve the proposition #4 (high school level) and lift up your geometry skills.



Continue reading at:
gogeometry.com/ArchBooLem04.htm