Maths Project, Euclidean Geometry

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arvenkenobi
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1. Maths project to investigate compass and straightedge constructions



2. Most of the project is fine, but i need to find out the mimimum number of constructions to bisect an angle, a line segment, etc.



3. I can prove that you can bisect an angle, and it requires 4 steps to do it. But no idea how to prove the minimal no. of steps. please help!
 
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Any help would be greatly appreciated!