Cross-ratio
INVARIANT UNDER PROJECTIVE TRANSFORMATIONS
Cross ratio; Cross Ratio; Anharmonic ratio; Cross-Ratio; Projective invariant; Projective invariants; Six cross-ratios; Anharmonic group; Harmonic cross-ratio
In geometry, the cross-ratio, also called the double ratio and anharmonic ratio, is a number associated with a list of four collinear points, particularly points on a projective line. Given four points A, B, C and D on a line, their cross ratio is defined as