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analytic geometry
Posted:
Jan 14, 1993 2:23 PM
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Hi,
I would like to know the equation(s) which describe the locus of a mobile point which is in the same distance from two given polynomial curves and/or straight lines. For example, given a circle and a straight line, the locus of the point is a kind of parabola settled between circle and line. I am especially interested in the equations describing the locus-curves between conic sections and/or straight lines.
In order to compute a set of solution points, I am looking for an algorithm which is able to compute all intersection points between conic sections in the plane. Does an algorithm exists for computing intersections of general polynomial curves?
I will thank you for any hints on textbooks etc.
Best regards, Roland
-- +----------------------------+-----------------------------------------+ | | | | Roland Berling | Tel.: +49 261 9119 436 | | Universit"at Koblenz | Fax.: +49 261 9119 499 | | Institut f"ur Informatik | e-mail: berling@infko.uni-koblenz.de | | Rheinau 3-4 | | | D-5400 Koblenz | | | Germany | |
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