For 10 points, name this figure which is the locus of all points the same distance from the center,
This curve can be considered the limit of an apeirogon in Euclidian geometry. A Reuleaux triangle is formed by the mutual intersection of three of these objects, and Apollonius's problem concerns their mutual tangency. In hyperbolic geometry, its length is equal to two pi times sinh ["cinch"] r. The Cesaro equation for this curve is k equals one over a, meaning it is the only curve with constant finite (*) curvature at all points. It is the conic section with zero eccentricity formed by a plane perpendicular to the cone's axis of symmetry. Its equation can be given parametrically by x equals A cosine t and y equals A sine t. For 10 points, name this figure which is the locus of all points the same distance from the center, whose "unit" variety has radius 1.
This curve can be considered the limit of an apeirogon in Euclidian geometry.
circle