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n.1.(Geom. of Three Dimensions) A certain conic section supposed to be drawn in the tangent plane to any surface, and used to determine the accidents of curvature of the surface at the point of contact. The curve is similar to the intersection of the surface with a parallel to the tangent plane and indefinitely near it. It is an ellipse when the curvature is synclastic, and an hyperbola when the curvature is anticlastic.
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Also, a graphical representation of the optical refractive indicatrix was suggested.
His topics include the possibility of classifying part surfaces, an analytical method based on second fundamental forms of the contacting part surfaces, indicatrix of conformity of two smooth regular surfaces in the first order of tangency, and general considerations and special cases for generating enveloping surfaces.
We also consider Tissot's indicatrix (ellipse) referring to distortions of spherical circles in projection on the plane chart in paragraph 3.
Another visualization tool added specifically for UVGI analysis is the ability to scale a radiometric indicatrix, displayed with each UVGI fixture, to a given fluence rate threshold.
When light falls normally at the disc, the half-width of the indicatrix of reflection is about 15[degrees], and when its incident angle is 10[degrees], the maximum amplitude is reduced by about 15% while the half-width increases to 18[degrees].
Moreover, we give some new characterizations of the Mannheim partner curves by considering the spherical indicatrix of some Frenet vectors of the curves.
Scientists mostly from post-socialist countries describe their experiments or review the literature regarding such matters as paraxial light beams with angular momentum, quasi-ballistic light scattering on particulate media, a novel single-shot technique of micro-nano patterning in single-step through selective laser ablation, optical design techniques in developing current eye models, optical waves in a medium with a rotating optical indicatrix, and a geometrical-optics analogue of an astigmatic elliptic Gaussian beam.
The tangent equation of the indicatrix in the space of the non-degenerated polynumbers [P.
This enables one to explain that the nonlinear effects in the polarizability are linked with a "nonspherical optical indicatrix surface on microstructures distribution of the crystalline phase" [3].
Traditionally, map distortions have been visualized and examined using Tissot's Indicatrix which uses circles and ellipses to represent shape and area distortions.
Unlike the circle used as a familiar shape, the indicatrix is based upon Tissot's (1881) theorem of map projection distortion.
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