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Math Forum » Discussions » Math Topics » geometry.research.independent

Topic: analytic geometry
Replies: 1   Last Post: Jan 14, 1993 2:32 PM

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Roland Berling

Posts: 1
Registered: 12/6/04
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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