منابع مشابه
Tangents to Subsolutions
There is an interesting potential theory associated to each degenerate elliptic, fully nonlinear equation f(Du) = 0. These include all the potential theories attached to calibrated geometries. This paper begins the study of tangents to the subsolutions in these theories, a topic inspired by the results of Kiselman in the classical plurisubharmonic case. Fundamental to this study is a new invari...
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We study the variety of common tangents for up to four quadric surfaces in projective three-space, with particular regard to configurations of four quadrics admitting a continuum of common tangents. We formulate geometrical conditions in the projective space defined by all complex quadric surfaces which express the fact that several quadrics are tangent along a curve to one and the same quadric...
متن کاملCommon Tangents to Spheres in R3
We prove that four spheres in R3 have infinitely many real common tangents if and only if they have aligned centers and at least one real common tangent.
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The paracatadioptric camera is one of the most popular panoramic systems currently available in the market. It provides a wide field of view by combining a parabolic shaped mirror with a camera inducing an orthographic projection. Previous work proved that the paracatadioptric projection of a line is a conic curve, and that the sensor can be fully calibrated from the image of three or more line...
متن کاملTangents and Subtangents Used to Calculate Areas
Thus, the subtangent determines f (x) up to a constant factor. Therefore it is not surprising that information about f (x) can be extracted from a knowledge of s(x). For example, if b is a nonzero constant, then s(x) = b if and only if f (x) = f (0)ex/b; and s(x) = bx if and only if f (x) = f (1)x1/b. In particular, the parabola f (x) = x2 has subtangent s(x) = x/2, and the hyperbola f (x) = 1/...
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ژورنال
عنوان ژورنال: The Mathematical Gazette
سال: 1909
ISSN: 0025-5572
DOI: 10.2307/3602156