1 Inversion Finding the midpoint of a segment using only a compass Problem 1.1. Given a line through A and B, find the midpoint of the segment AB using

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• Projective geometry
• Euclidean plane geometry
• Conic sections
• Circle
• Inverse
• Perpendicular
• Inverse curve
• Tangent lines to circles
• Geometry
• Curves
• Inversive geometry