2. (Geom.) Possessing the property of homography.

Ho*mog"ra*phy (?), n. 1. That method of spelling in which every sound

is represented by a single character, which indicates that sound and no

other.

2. (Geom.) A relation between two figures, such that to any point of

the one corresponds one and but one point in the other, and vise versa.

Thus, a tangent line rolling on a circle cuts two fixed tangents of the

circle in two sets of points that are homographic.

||Ho*moi`op*to"ton (?), n. [NL., fr. Gr. &?; in a like case; &?; like +

||&?; falling.] (Rhet.) A figure in which the several parts of a

||sentence end with the same case, or inflection generally.

Ho*moi`o*ther"mal (?), a. [Gr. &?; like + E. thermal.] (Physiol.)

Maintaining a uniform temperature; hÊmatothermal; homothermic; --

applied to warm- bodied animals, because they maintain a nearly uniform

temperature in spite of the great variations in the surrounding air; in

distinct from the cold-blooded (poikilothermal) animals, whose body

temperature follows the variations in temperature of the surrounding

medium.

Ho`moi*ou"si*an (?), n. [Gr. &?;, &?;, of like substance; "o`moios +

o'ysi`a the substance, being, essence.] (Eccl. Hist.) One of the

semi-Arians of the 4th century, who held that the Son was of like, but

not the same, essence or substance with the Father; -- opposed to

homoousian.

Ho`moi*ou"si*an, a. Of or pertaining to Homoiousians, or their belief.

Ho*mol"o*gate (?), v. t. [imp. & p. p. Homologated (?); p. pr. & vb. n.

Homologating.] [LL. homologatus, p. p. of homologare to homologate; Gr.

&?; to assent, agree. See Homologous.] (Civ. Law) To approve; to allow;

to confirm; as, the court homologates a proceeding. Wheaton.

Ho*mol`o*ga"tion (?), n. [Cf. F. homologation.] (Civ. & Scots Law)

Confirmation or ratification (as of something otherwise null and void),

by a court or a grantor.

Ho`mo*log"ic*al (?), a. Pertaining to homology; having a structural

affinity proceeding from, or base upon, that kind of relation termed

homology. -- Ho`mo*log"ic*al*ly, adv.

Ho*mol`o*gin"ic (?), a. (Chem.) Pertaining to, or characterized by,

homology; as, homologinic qualities, or differences.

Ho*mol"o*gize (?), v. t. (Biol.) To determine the homologies or

structural relations of.

||Ho*mol"o*gon (?), n. [NL.] See Homologue.

||Hom`o*lo*gou"me*na (?), n. pl. [NL., fr. Gr. &?; things conceded, p.

||p. of &?; to agree, admit, concede. See Homologous.] Those books of

||the New Testament which were acknowledged as canonical by the early

||church; -- distinguished from antilegomena.

Ho*mol"o*gous (?), a. [Gr. &?; assenting, agreeing; &?; the same + &?;

speech, discourse, proportion, &?; to say, speak.] Having the same

relative position, proportion, value, or structure. Especially: (a)

(Geom.) Corresponding in relative position and proportion.

In similar polygons, the corresponding sides, angles, diagonals,

etc., are homologous.

Davies & Peck (Math. Dict.).

(b) (Alg.) Having the same relative proportion or value, as the two

antecedents or the two consequents of a proportion. (c) (Chem.)

Characterized by homology; belonging to the same type or series;

corresponding in composition and properties. See Homology, 3. (d)

(Biol.) Being of the same typical structure; having like relations to a

fundamental type to structure; as, those bones in the hand of man and

the fore foot of a horse are homologous that correspond in their

structural relations, that is, in their relations to the type structure

of the fore limb in vertebrates.

Homologous stimulus. (Physiol.) See under Stimulus.

<! p. 702 !>

Hom`o*lo*graph"ic (?), a. [Homo- + Gr. "o`los whole + -graph + -ic; but

cf. F. homalographique, Gr. &?; even, level.] Preserving the mutual

relations of parts, especially as to size and form; maintaining

relative proportion.

Homolographic projection, a method of constructing geographical charts

or maps, so that the surfaces, as delineated on a plane, have the same

relative size as the real surfaces; that is, so that the relative

actual areas of the different countries are accurately represented by

the corresponding portions of the map.

Hom"o*logue (?), n. [Cf. F. homologue. See Homologous.] That which is

homologous to something else; as, the corresponding sides, etc., of

similar polygons are the homologues of each other; the members or terms

of an homologous series in chemistry are the homologues of each other;

one of the bones in the hand of man is the homologue of that in the

paddle of a whale.

Ho*mol"o*gy (?), n. [Gr. &?; agreement. See Homologous.] 1. The quality

of being homologous; correspondence; relation; as, the homologyof

similar polygons.

2. (Biol.) 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.

Homology indicates genetic relationship, and according to Haeckel

special homology should be defined in terms of identity of embryonic

origin. See Homotypy, and Homogeny.

3. (Chem.) 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.

General homology (Biol.), the higher relation which a series of parts,

or a single part, bears to the fundamental or general type on which the

group is constituted. Owen. -- Serial homology (Biol.), representative

or repetitive relation in the segments of the same organism, -- as in

the lobster, where the parts follow each other in a straight line or

series. Owen. See Homotypy. -- Special homology (Biol.), the

correspondence of a part or organ with those of a different animal, as

determined by relative position and connection. Owen.

Ho*mom"al*lous (?), a. [Homo- + Gr. &?; a lock of wool.] (Bot.)

Uniformly bending or curving to one side; -- said of leaves which grow

on several sides of a stem.

{ Ho`mo*mor"phic (?), Ho`mo*mor"phous (?), } a. [Gr. &?; the same + &?;

shape.] Characterized by homomorphism.

Ho`mo*mor"phism (?), n. [See Homomorphous.] 1. (Biol.) Same as

Homomorphy.

2. (Bot.) The possession, in one species of plants, of only one kind of

flowers; -- opposed to heteromorphism, dimorphism, and trimorphism.

3. (Zoˆl.) The possession of but one kind of larvÊ or young, as in most

insects.

Ho"mo*mor`phy (?), n. [Homo- + Gr. &?; form.] (Biol.) Similarity of

form; resemblance in external characters, while widely different in

fundamental structure; resemblance in geometric ground form. See

Homophyly, Promorphology.

Ho*mon"o*mous (?), a. (Biol.) Of or pertaining to homonomy.

Ho*mon"o*my (?), n. [Homo- + Gr. &?; law.] (Biol.) The homology of

parts arranged on transverse axes. Haeckel.

Hom"o*nym (?), n. [Cf. F. homonyme. See Homonymous.] A word having the

same sound as another, but differing from it in meaning; as the noun

bear and the verb bear. [Written also homonyme.]

Ho*mon"y*mous (?), a. [L. homonymus, Gr. &?;; &?; the same + &?;, for

&?; name; akin to E. name.] 1. Having the same name or designation;

standing in the same relation; -- opposed to heteronymous.

2. Having the same name or designation, but different meaning or

relation; hence, equivocal; ambiguous.

Ho*mon"y*mous*ly, adv. 1. In an homonymous manner; so as to have the

same name or relation.

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