Find midpoint of interval with compass but without ruler
Find midpoint of interval with compass but without ruler This is my first attempt to use geogebra. To find midpoint of interval AB draw circles a, b, with center A and B with radius AB, find intersections C and D, draw circles c,d with center C and D and radius CA, find intersection E of circle a with circle d, draw circle e centered at E with radius EC. find its intersection F with circle c, draw circle a' centered in A with radius AF, find its instersection G with circle b, draw circle g centered at G with radius GB and find intersection H with segment AB. Illustrate with a circle centered at H with radius HA and with interval DC that H is indeed the midpoint.
Prove that H is indeed the midpoint between A and B