Hippias of Elias [-430 to -420] invented a curve {quadratrix curve} {trisectrix}. Begin with semicircle and line segment equal to radius but tangent to semicircle at end. Move line segment through semicircle uniformly, keeping direction, until it is tangent to other semicircle end. Simultaneously rotate ray, starting from same semicircle end as line segment, around semicircle until it goes through other semicircle end. Line segment and ray intersect to form a curve.
Mathematical Sciences>Geometry>Plane>Curve>Kinds
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Date Modified: 2022.0224