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单词 caustic line, surface
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caustic line, surface
3. Mathematics. Epithet of a curved surface formed by the ultimate intersection of luminous rays proceeding from a single point and reflected or refracted from a curved surface; also of the curve formed by a plane section of a caustic surface. A caustic by reflexion is called a catacaustic adj. and n., that by refraction a diacaustic n. So caustic line, surface.[So called because the intensity of the light, and consequently of the heat, is in general greater at a point on this surface than at neighbouring points not on it, and at special points may become sufficiently intense to initiate combustion in a body there placed. The focus of a concave mirror is the cusp of its caustic for incident parallel rays.]
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caustic1728
hypotrochoidal1843
hodographic1847
Pippian1857
tetrazomal1867
trizomal1867
three-bar1875
sinusoidal1878
1728 E. Chambers Cycl. Caustic Curve, in the higher Geometry, a Curve form'd by the Concourse, or Coincidence of the Rays of Light reflected, or refracted from some other Curve.
1869 J. Tyndall Notes 9 Lect. on Light §101 The interior surface of a common drinking-glass is a curved reflector. Let the glass be nearly filled with milk, and a lighted candle placed beside it, a caustic curve will be drawn on the surface of the milk.
1869 J. Tyndall Notes 9 Lect. on Light §166 Spherical lenses have their caustic curves and surfaces formed by the intersection of the refracted rays.
extracted from causticadj.n.
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