Self-conjugate triangle

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; 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 — 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 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;… …   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

  • Isogonal conjugate — Isogonal coniugate of P . Isogonal coniugate transformation over the points inside the triangle.In geometry, the isogonal conjugate of a point P with respect to a triangle ABC is constructed by reflecting the lines PA , PB , and PC about the… …   Wikipedia

  • combinatorics — /keuhm buy neuh tawr iks, tor , kom beuh /, n. (used with singular v.) See combinatorial analysis. * * * Branch of mathematics concerned with the selection, arrangement, and combination of objects chosen from a finite set. The number of possible… …   Universalium

  • Problem of Apollonius — In Euclidean plane geometry, Apollonius problem is to construct circles that are tangent to three given circles in a plane (Figure 1); two circles are tangent if they touch at a single point. Apollonius of Perga (ca. 262 BC ndash; ca. 190 BC)… …   Wikipedia

  • Hilbert space — For the Hilbert space filling curve, see Hilbert curve. Hilbert spaces can be used to study the harmonics of vibrating strings. The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space. It… …   Wikipedia

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