indicatrixn.

/ɪndɪˈkeɪtrɪks/

Etymology: modern Latin, feminine of indicator n.: see -trix suffix. Compare directrix n.

1. Geometry. The curve in which a given surface is cut by a plane indefinitely near and parallel to the tangent-plane at any point; so called because it indicates the nature of the curvature of the surface at that point.

ΘΚΠ

the world > relative properties > number > geometry > curve > [noun] > other

quadratrix1656

section1665

family1705

semiparabola1728

tractrix1728

witcha1760

tractory1820

sinusoid1823

tractatrix1828

indicatrix1841

hodograph1847

tetrazomal1867

space curve1875

horograph1879

hypercycle1889

Peano curve1900

multiple arc1967

unknot1971

fractal1975

analemma1978

1841 J. R. Young Math Diss. ii. 43 This evanescent curve, the limit of the intersections of the plane with the proposed surface, is that which Dupin calls the indicatrix.

1879 W. Thomson & P. G. Tait Treat. Nat. Philos. (new ed.) I: Pt. i. §130 A plane parallel to the tangent plane and very near it cuts the surface in an ellipse, hyperbola, or two parallel straight lines, in the three cases respectively. This section, whose nature informs us as to whether the curvature be synclastic, anticlastic, or cylindrical, at any point, was called by Dupin the Indicatrix.

2. optical indicatrix: name given by L. Fletcher to a surface (sphere, spheroid, or ellipsoid) devised to indicate by its geometrical characters the optical characters of rays of light refracted through a crystal of any kind.

ΘΚΠ

the world > physical sensation > sight and vision > optical instruments > instruments to refract, etc., light > [noun] > optical indicatrix

optical indicatrix1892

1892 L. Fletcher (title) The Optical Indicatrix and the Transmission of Light in Crystals.

1892 L. Fletcher 20 To the surface of reference the term Optical Indicatrix may be assigned..The Indicatrix is identical in form with the ellipsoid of elasticity of various authors, the ellipsoid of polarisation of Cauchy, the ellipsoid of indices of MacCullagh, and the index-ellipsoid of Liebisch.

This entry has not yet been fully updated (first published 1900; most recently modified version published online June 2019).

单词	indicatrix
释义	indicatrixn. /ɪndɪˈkeɪtrɪks/ Etymology: modern Latin, feminine of indicator n.: see -trix suffix. Compare directrix n. 1. Geometry. The curve in which a given surface is cut by a plane indefinitely near and parallel to the tangent-plane at any point; so called because it indicates the nature of the curvature of the surface at that point. ΘΚΠ the world > relative properties > number > geometry > curve > [noun] > other quadratrix1656 section1665 family1705 semiparabola1728 tractrix1728 witcha1760 tractory1820 sinusoid1823 tractatrix1828 indicatrix1841 hodograph1847 tetrazomal1867 space curve1875 horograph1879 hypercycle1889 Peano curve1900 multiple arc1967 unknot1971 fractal1975 analemma1978 1841 J. R. Young Math Diss. ii. 43 This evanescent curve, the limit of the intersections of the plane with the proposed surface, is that which Dupin calls the indicatrix. 1879 W. Thomson & P. G. Tait Treat. Nat. Philos. (new ed.) I: Pt. i. §130 A plane parallel to the tangent plane and very near it cuts the surface in an ellipse, hyperbola, or two parallel straight lines, in the three cases respectively. This section, whose nature informs us as to whether the curvature be synclastic, anticlastic, or cylindrical, at any point, was called by Dupin the Indicatrix. 2. optical indicatrix: name given by L. Fletcher to a surface (sphere, spheroid, or ellipsoid) devised to indicate by its geometrical characters the optical characters of rays of light refracted through a crystal of any kind. ΘΚΠ the world > physical sensation > sight and vision > optical instruments > instruments to refract, etc., light > [noun] > optical indicatrix optical indicatrix1892 1892 L. Fletcher (title) The Optical Indicatrix and the Transmission of Light in Crystals. 1892 L. Fletcher 20 To the surface of reference the term Optical Indicatrix may be assigned..The Indicatrix is identical in form with the ellipsoid of elasticity of various authors, the ellipsoid of polarisation of Cauchy, the ellipsoid of indices of MacCullagh, and the index-ellipsoid of Liebisch. This entry has not yet been fully updated (first published 1900; most recently modified version published online June 2019). < n.1841
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