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Without bounds or limits; beyond or below assignable limits; as, an infinitely large or infinitely small quantity.

A line which approaches nearer to some curve than assignable distance, but, though infinitely extended, would never meet it. Asymptotes may be straight lines or curves. A rectilinear asymptote may be conceived as a tangent to the curve at an infinite distance.

enjoined by authority; necessary; due to complusion. This contribution therestening fall infinitely short of their hopes, they soon made it compulsory. Burke.

had inscriptions on them expressing that the lamps were burning. Bp. Wilkins. Eternity is infinitely the most considerable duration. Tillotson.

r industry hath made great. Hooker. It derogates little from his fortitude, while it adds infinitely to the honor of his humanity. Burke.

The act of dissociating or disuniting; a state of separation; disunion. It will add infinitely dissociation, distraction, and confusion of these confederate republics. Burke.

The infinitely small increase or decrease of a variable or flowing quantity in a certain infinitely small and constant period of time; the rate of variation of a fluent; an incerement; a differential. (b) pl.

om negligence. The productions of a great genius, with many lapses an inadvertencies, are infinitely preferable to works of an inferior kind of author which are scrupulously exact. Addison.

t differs from the method of fluxions in treating these differences as finite, instead of infinitely small, and is equivalent to the calculus of finite differences.

An infinitely small quantity which is assumed to admit of no further division. Method of indivisibles, a kind of calculus, formerly in use, in which lines were considered as made up of an infinite number of points; surfaces, as made up of an infinite number of lines; and volumes, as made up of an infinite number of sur…

mit of no comparative relation with infinity; for whatever is less than infinite is still infinitely distant from infinity; and lower than infinite distance the lowest or least can not sink. H. Brooke.

Infinitely or indefinitely small; less than any assignable quantity or value; very small. Infinitesimal calculus, the different and the integral calculus, when developed according to the method used by Leibnitz, who regarded the increments given to variables as infinitesimal.

By infinitesimals; in infinitely small quantities; in an infinitesimal degree.

That part of a line, or of a plane, or of space, which is infinitely distant. In modern geometry, parallel lines or planes are sometimes treated as lines or planes meeting at infinity. Circle at infinity, an imaginary circle at infinity, through which, in geometry of three dimensions, every sphere is imagined to pass.…

hed); to be intent upon; to mean; to design; to plan; to purpose; -- often followed by an infinitely with to, or a dependent clause with that; as, he intends to go; he intends that she shall remain. They intended evil against thee. Ps. xxi. 11. To-morrow he intends To hunt the boar with certain of his friends. Shak.…

eman; generous; bounteous; open-handed; as, a liberal giver. " Liberal of praise." Bacon. Infinitely good, and of his good As liberal and free as infinite. Milton.

To afflict; to distress. [Obs.] Which infinitely moans me. Beau. & Fl.

Having universal knowledge; knowing all things; infinitely knowing or wise; as, the omniscient God. -- Om*nis"cient*ly, adv. For what can scape the eye Of God all-seeing, or deceive his heart Omniscient Milton.

erspective plane. See Perspective. -- Plane at infinity (Geom.), a plane in which points infinitely distant are conceived as situated. -- Plane iron, the cutting chisel of a joiner's plane. -- Plane of polarization. (Opt.) See Polarization. -- Plane of projection. (a) The plane on which the projection is made, corr…

mall spots. The studs have their surface punctulated, as if set all over with other studs infinitely lesser. Woodward.