Noun
The quality of being homologous; correspondence; relation; as, the homologyof similar polygons.
Correspondence or relation in type of structure in contradistinction to similarity of function; as, the relation in structure between the leg and arm of a man; or that between the arm of a man, the fore leg of a horse, the wing of a bird, and the fin of a fish, all these organs being modifications of one type of structure.
The correspondence or resemblance of substances belonging to the same type or series; a similarity of composition varying by a small, regular difference, and usually attended by a regular variation in physical properties; as, there is an homology between methane, CH4, ethane, C2H6, propane, C3H8, etc., all members of the paraffin series. In an extended sense, the term is applied to the relation between chemical elements of the same group; as, chlorine, bromine, and iodine are said to be in homology with each other. Cf. Heterology.
Source: Webster's dictionaryThere are thoughts in this field of the beyond of consciousness, and it is impossible to represent these thoughts other than in the same homology of determination in which the subject of the I think finds himself in relation to the articulation of the I doubt. Jacques Lacan
The natural order of organisms is a divergent inclusive hierarchy and that hierarchy is recognized by taxic homology. Alec Panchen
Although numerous classification schemes have been proposed, the superfamily was classically divided into three main classes (A, B and C) with no detectable shared sequence homology between classes. Source: Internet
Behe has responded to critics of his clotting cascade arguments by suggesting that homology is evidence for evolution, but not for natural selection. Source: Internet
Evolutionary ideas, although not natural selection, were accepted by German biologists accustomed to ideas of homology in morphology from Goethe 's Metamorphosis of Plants and from their long tradition of comparative anatomy. Source: Internet
As in the proof using homology, one is reduced to proving that there is no smooth retraction f from the ball B onto its boundary ∂B. Source: Internet