Go Geometry: Archimedes Arbelos and Square

Archimedes Arbelos, Inscribed Circle and Square II. Interactive Geometry. Level: High School, SAT Prep, College

Static Geometry


Archimedes Arbelos and Square
 


Interactive or Dynamic Geometry

Click the red button () on the figure below to start the animation. Drag points A, C, and line AC to change the figure. Press P and click the left mouse button to start the step by step construction, help.

 

Proposition
In the figure above, a circle D is inscribed in the arbelos ABC (AB, BC and AC are semicircles), prove that KLFM is a square. Post a comment.

Dynamic Geometry: You can alter the figure dynamically in order to test and prove (or disproved) conjectures and gain mathematical insight that is less readily available with static drawings by hand.

This page uses the TracenPoche dynamic geometry software and requires Adobe Flash player 7 or higher. TracenPoche is a project of Sesamath, an association of French teachers of mathematics.

Instruction to explore the dynamic figure:

  • Animation. Click the red button to start/stop animation

  • Manipulate. Drag points A and C, and line AC to change the figure.

  • Step-by-Step construction. Press P and click the left mouse button on any free area of the figure above to show the step-by-step bar and click 'Next Step' button () to start the construction step-by-step:

     
    Hide the step-by-step bar by using again the combination P + click left mouse.

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