COROLLARY

(Lat. coroUarium, signifying originally a gratuity or donation presented to a person over and above what was strictly his due.) In its mathematical sense, this word is used to designate a consequence drawn from some proposition already demonstrated without the aid of any other proposition. Thus, supposing it demonstrated that if a triangle have two equal sides, it has also two equal angles; it would then follow, as a corollary, that if the three sides of a triangle are equal, its three angles are also equal. [s. 296]