Defn: A quantity greater than any assignable quantity of the same kind.
Note: 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.)
Defn: 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. — Circular points at infinity. See under Circular.
INFIRM In*firm", a. Etym: [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. Shak.
2. Weak of mind or will; irresolute; vacillating. "An infirm judgment." Burke. Infirm of purpose! Shak.
3. Not solid or stable; insecure; precarious. He who fixes on false principles treads or infirm ground. South.
Syn. — Debilitated; sickly; feeble; decrepit; weak; enfeebled; irresolute; vacillating; imbecile.
INFIRM
In*firm", v. t. Etym: [L. infirmare : cf. F.infirmer.]