Circle at infinity, an imaginary circle at infinity, through which, in geometry of three dimensions, every sphere is imagined to pass.Circular points at infinity. See under Circular.

(In*firm") a. [L. infirmus: cf. F. infirme. See In- not, and Firm, a.]

1. Not firm or sound; weak; feeble; as, an infirm body; an infirm constitution.

A poor, infirm, weak, and despised old man.

2. Weak of mind or will; irresolute; vacillating. "An infirm judgment." Burke.

Infirm of purpose!

3. Not solid or stable; insecure; precarious.

He who fixes on false principles treads or infirm ground.

Syn. — Debilitated; sickly; feeble; decrepit; weak; enfeebled; irresolute; vacillating; imbecile.

(In*firm"), v. t. [L. infirmare : cf. F. infirmer.] To weaken; to enfeeble. [Obs.] Sir W. Raleigh.

4. (Math.) A quantity greater than any assignable quantity of the same kind.

Mathematically considered, infinity is always a limit of a variable quantity, resulting from a particular supposition made upon the varying element which enters it. Davies & Peck (Math. Dict.).

5. (Geom.) 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.

  By PanEris using Melati.

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