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e. Law of error, or Law of frequency of error (Mensuration), the law which expresses the relation between the magnitude of an error and the frequency with which that error will be committed in making a large number of careful measurements of a quantity. -- Probable error. (Mensuration) See under Probable. -- Writ of…

ence which treats of the division of mankind into races, their origin, distribution, and relations, and the peculiarities which characterize them.

That system of ethics which defines and enforces moral obligation by its relation to happiness or personal well-being.

by to or against. I will never answer what exceptions they can have against our account [relation]. Bentley. He . . . took exception to the place of their burial. Bacon. She takes exceptions at your person. Shak. Bill of exceptions (Law), a statement of exceptions to the decision, or instructions of a judge in the tria…

A formal recital or exposition of facts; exposure, or revelation, of something which some one wished to keep concealed.

Relating to foreign nations; foreign; as, the exterior relations of a state or kingdom. Exterior angle (Geom.), the angle included between any side of a triangle or polygon and the prolongation of the adjacent side; also, an angle included between a line crossing two parallel lines and either of the latter on the outsi…

ating to or connected with foreign nations; as, external trade or commerce; the external relations of a state or kingdom.

as, an extreme sharp second; an extreme flat forth. Extreme and mean ratio (Geom.), the relation of a line and its segments when the line is so divided that the whole is to the greater segment is to the less. -- Extreme distance. (Paint.) See Distance., n., 6. -- Extreme unction. See under Unction.

Pertaining to that relation which is proper when the act, as of a transitive verb, is not merely received by an object, but produces some change in the object, as when we say, He made the water wine. Sometimes the idea of activity in a verb or adjective involves in it a reference to an effect, in the way of causality,…

Having relation to the grant or exercise faculty, or authority, privilege, license, or the like hence, optional; as, facultative enactments, or those which convey a faculty, or permission; the facultative referendum of Switzerland is one that is optional with the people and is necessary only when demanded by petition;…

aut.), a thin piece of timber placed on top of the head rail to strengthen it. -- False relation (Mus.), a progression in harmony, in which a certain note in a chord appears in the next chord prefixed by a flat or sharp. -- False return (Law), an untrue return made to a process by the officer to whom it was delivered…

nt to give rise to a probable suspicion of favor or bias, such as acquaintance, business relation, etc. See Principal challenge, under Challenge. -- In favor of, upon the side of; favorable to; for the advantage of. -- In favor with, favored, countenanced, or encouraged by. -- To curry favor Etym: [see the etymology…

The state or relation of being or associate.

A diagram or drawing; made to represent a magnitude or the relation of two or more magnitudes; a surface or space inclosed on all sides; -- called superficial when inclosed by lines, and solid when inclosed by surface; any arrangement made up of points, lines, angles, surfaces, etc.

Of or pertaining to a son or daughter; becoming to a child in relation to his parents; as, filial obedience.

The relationship of a son or child to a parent, esp. to a father. The relation of paternity and filiation. Sir M. Hale.

The relation of a son to a father; sonship; -- the correlative of paternity. J. S. Mill.

The relation of end or purpose to its means. Janet.

e of form of words, as by declension or conjugation; inflection. Express the syntactical relations by flexion. Sir W. Hamilton.

A Christian church or congregation; considered in their relation to the pastor, or minister in charge. As half amazed, half frighted all his flock. Tennyson.