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mathworld.wolfram.com/CircleOrthotomic.html
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DOWNLOAD Mathematica Notebook. CircleOrthotomic. The orthotomic of the unit circle represented by. x, = cost. (1). y, = sint. (2). with a source at (x,y) is ...
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mathworld.wolfram.com/Orthotomic.html
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is the orthotomic curve (also known as the secondary caustic). The evolute of the orthotomic is the catacaustic. For a parametric curve (f(t),g(t)) with respect to the ...
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Pedal curve - Wikipedia, the free encyclopedia
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en.wikipedia.org/wiki/Pedal_curve
This proves that the catacaustic of a curve is the evolute of its orthotomic. As noted earlier, the circle with diameter PR is tangent to the pedal. The center of this ...
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www.lexic.us/definition-of/orthotomic
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Cutting at right angles. Orthotomic circle, that circle which cuts three given circles at right angles. Origin: Ortho- + Gr. To cleave. Source: Websters Dictionary (01 ...
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www.tandfonline.com/doi/abs/10.1080/14786445708642337
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given circles, and the perpendicular let fall from the radical centre (or centre of the orthotomic circle) of the given circles, there are two of the required tangent ...
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www.tandfonline.com/doi/pdf/10.1080/14786445708642338
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common chord or radical axis of the orthotomic circle and the two tangent circles. 2 Stone Buildings, W. C.. May 15, 1857. LXVIII. Notes on Mineralogy.--No. ¥.
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php.radford.edu/~ejmt/Resources/CurveSimulator/CurveSim...
php.radford.edu/~ejmt/Resources/CurveSimulator/CurveSimulator.html
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Moving osculating circle: The interactive user interface will appear to select an ... Orthotomic Curve: Visualize the orthotomic curve and Appear the interactive ...
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www.2dcurves.com/derived/caustic.html
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Dec 4, 2004 ... The orthotomic (or secondary caustic) is the reflection of the rays in the tangent of the curve. ... not on circumference, circle catacaustic ...
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mrl.nyu.edu/~elif/thesisprop/Hoschek85.pdf
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the complex unit circle or the complex unit sphere can be used for detecting ... interpret the orthotomic also as the reflected tiwe front (light emanating from P) or ...
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www.springerlink.com/index/d526152217006200.pdf
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Feb 21, 2007 ... we define the spherical orthotomic of γ relative to u to be the set of reflections of u about the planes where the great circles (3) lie for all s ∈ I.
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