The symmetry group of this figure is O(2,R) ("oh two R"). It has constant finite curvature, and the power-of-a-point theorem relates the lengths of certain line segments constructed relative to a point and one of these figures.
The symmetry group of this figure is O(2,R) ("oh two R"). It has constant finite curvature, and the power-of-a-point theorem relates the lengths of certain line segments constructed relative to a point and one of these figures. The shortest path between two points on a sphere is along a "great" one of these. These conic sections with eccentricity 0 can be graphed parametrically as "x equals r cosine theta" and "y equals r sine theta," or in polar coordinates as "r equals a constant." The equation "x squared plus y squared equals 1" describes the "unit" one of these. For 10 points, name this figure consisting of points equidistant from the center.
The symmetry group of this figure is O(2,R) ("oh two R"). It has constant finite curvature, and the power-of-a-point theorem relates the lengths of certain line segments constructed relative to a point and one of these figures.
circles