ASYMPTOTE, in Geometry, a Line which continually approaches nearer and nearer to another, yet will never meet there with, though indefinitely prolonged. See LINE.
The Word is compounded of the privative Particle α, συν, with, and πζοω, I fall ; g.d. In-coincident, or which never meet.—Some Latin thors call them Lineae Intactae.
Bertinus gives us divers sorts of Asymptotes; some Strait, others Curve; some Concave, others Convex, etc. and further, proposes an Instrument to describe them withal—Though, in strictness the Term Asymptotes seems appropriated to right lines.
Asymptotes, then, are properly right Lines, which approach nearer and nearer to some Curve, of which they are said to be the Asymptotes; but which, though they and their Curve, were indefinitely continued, would never meet. See CURVE.
Asymptotes may be conceived as Tangents to their Curves at an infinite Distance. See TANGENT. Two Curves are also said to be Asymptotical, when they thus continually approach, without a possibility of meeting —Thus, two Parabolas, whose Axes are in the same straight Line, are Asymptotical to one another.
The Word is compounded of the privative Particle α, συν, with, and πζοω, I fall ; g.d. In-coincident, or which never meet.—Some Latin thors call them Lineae Intactae.
Bertinus gives us divers sorts of Asymptotes; some Strait, others Curve; some Concave, others Convex, etc. and further, proposes an Instrument to describe them withal—Though, in strictness the Term Asymptotes seems appropriated to right lines.
Asymptotes, then, are properly right Lines, which approach nearer and nearer to some Curve, of which they are said to be the Asymptotes; but which, though they and their Curve, were indefinitely continued, would never meet. See CURVE.
Asymptotes may be conceived as Tangents to their Curves at an infinite Distance. See TANGENT. Two Curves are also said to be Asymptotical, when they thus continually approach, without a possibility of meeting —Thus, two Parabolas, whose Axes are in the same straight Line, are Asymptotical to one another.
ÆGILOPS, a Tumor, or rather Ulcer, in the great Canthus or Angle of the Eye, by the Root of the Nose; either with or without an Inflammation. See EYE, TUMOR, and ULCER.
The Word, in its original Greek, aigylops, signifies a Goat's Eye; in regard, Goats are supposed extremely liable to this Disorder. If the Agilops be neglected, it bursts, and degenerates into a Fistula, which eats into the Bone. See FISTULA.
The Word, in its original Greek, aigylops, signifies a Goat's Eye; in regard, Goats are supposed extremely liable to this Disorder. If the Agilops be neglected, it bursts, and degenerates into a Fistula, which eats into the Bone. See FISTULA.
