Conjugate diameters

Conjugate diameters
Conjugate Con"ju*gate, a. [L. conjugatus, p. p. or conjugare to unite; con- + jugare to join, yoke, marry, jugum yoke; akin to jungere to join. See {Join}.] 1. United in pairs; yoked together; coupled. [1913 Webster]

2. (Bot.) In single pairs; coupled. [1913 Webster]

3. (Chem.) Containing two or more compounds or radicals supposed to act the part of a single one. [R.] [1913 Webster]

4. (Gram.) Agreeing in derivation and radical signification; -- said of words. [1913 Webster]

5. (Math.) Presenting themselves simultaneously and having reciprocal properties; -- frequently used in pure and applied mathematics with reference to two quantities, points, lines, axes, curves, etc. [1913 Webster]

{Conjugate axis of a hyperbola} (Math.), the line through the center of the curve, perpendicular to the line through the two foci.

{Conjugate diameters} (Conic Sections), two diameters of an ellipse or hyperbola such that each bisects all chords drawn parallel to the other.

{Conjugate focus} (Opt.) See under {Focus}.

{Conjugate mirrors} (Optics), two mirrors so placed that rays from the focus of one are received at the focus of the other, especially two concave mirrors so placed that rays proceeding from the principal focus of one and reflected in a parallel beam are received upon the other and brought to the principal focus.

{Conjugate point} (Geom.), an acnode. See {Acnode}, and {Double point}.

{Self-conjugate triangle} (Conic Sections), a triangle each of whose vertices is the pole of the opposite side with reference to a conic. [1913 Webster]


The Collaborative International Dictionary of English. 2000.

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  • conjugate diameters — plural noun Two diameters in a conic section, such that each is parallel to the tangent at the extremity of the other • • • Main Entry: ↑conjugate …   Useful english dictionary

  • Conjugate diameters — Two conjugate diameters of an ellipse. Each edge of the bounding parallelogram is parallel to one of the diameters. In geometry, two diameters of a conic section are said to be conjugate if each chord parallel to one diameter is bisected by the… …   Wikipedia

  • Conjugate diameters — Diameter Di*am e*ter, n. [F. diam[ e]tre, L. diametros, fr. Gr. ?; dia through + ? measure. See {Meter}.] 1. (Geom.) (a) Any right line passing through the center of a figure or body, as a circle, conic section, sphere, cube, etc., and terminated …   The Collaborative International Dictionary of English

  • Conjugate — Con ju*gate, a. [L. conjugatus, p. p. or conjugare to unite; con + jugare to join, yoke, marry, jugum yoke; akin to jungere to join. See {Join}.] 1. United in pairs; yoked together; coupled. [1913 Webster] 2. (Bot.) In single pairs; coupled.… …   The Collaborative International Dictionary of English

  • Conjugate axis of a hyperbola — Conjugate Con ju*gate, a. [L. conjugatus, p. p. or conjugare to unite; con + jugare to join, yoke, marry, jugum yoke; akin to jungere to join. See {Join}.] 1. United in pairs; yoked together; coupled. [1913 Webster] 2. (Bot.) In single pairs;… …   The Collaborative International Dictionary of English

  • Conjugate focus — Conjugate Con ju*gate, a. [L. conjugatus, p. p. or conjugare to unite; con + jugare to join, yoke, marry, jugum yoke; akin to jungere to join. See {Join}.] 1. United in pairs; yoked together; coupled. [1913 Webster] 2. (Bot.) In single pairs;… …   The Collaborative International Dictionary of English

  • Conjugate mirrors — Conjugate Con ju*gate, a. [L. conjugatus, p. p. or conjugare to unite; con + jugare to join, yoke, marry, jugum yoke; akin to jungere to join. See {Join}.] 1. United in pairs; yoked together; coupled. [1913 Webster] 2. (Bot.) In single pairs;… …   The Collaborative International Dictionary of English

  • Conjugate point — Conjugate Con ju*gate, a. [L. conjugatus, p. p. or conjugare to unite; con + jugare to join, yoke, marry, jugum yoke; akin to jungere to join. See {Join}.] 1. United in pairs; yoked together; coupled. [1913 Webster] 2. (Bot.) In single pairs;… …   The Collaborative International Dictionary of English

  • Self-conjugate triangle — Conjugate Con ju*gate, a. [L. conjugatus, p. p. or conjugare to unite; con + jugare to join, yoke, marry, jugum yoke; akin to jungere to join. See {Join}.] 1. United in pairs; yoked together; coupled. [1913 Webster] 2. (Bot.) In single pairs;… …   The Collaborative International Dictionary of English

  • conjugate — 1. Joined or paired. SYN: conjugated. 2. C. diameters of the pelvis. The distance between any two specified points on the periphery of the pelvic canal. [L. conjugatus, joined together. See conjugata] anatomical c. [TA] measure of pelvic …   Medical dictionary

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