HOMOLOGOUS

, in Geometry, is applied to the corresponding sides of similar figures, or those that are opposite to equal or corresponding angles, and are so called because they are proportional to each other. For all similar figures have their like sides Homologus, or proportional to one another, also their areas or surfaces are Homologous or proportional to the squares of the like sides, and their solid contents Homologous or proportional to the cubes of the same.