Xref: utzoo comp.graphics:7318 sci.math:7776
Path: utzoo!utgpu!jarvis.csri.toronto.edu!rutgers!bpa!cbmvax!mitchell
From: mitchell@cbmvax.UUCP (Fred Mitchell - QA)
Newsgroups: comp.graphics,sci.math
Subject: Re: Curve normal to two circles
Message-ID: <7812@cbmvax.UUCP>
Date: 3 Sep 89 04:23:02 GMT
References: <439@ncis.tis.llnl.gov>
Reply-To: mitchell@cbmvax.UUCP (Fred Mitchell - QA)
Organization: Commodore Technology, West Chester, PA
Lines: 22

In article <439@ncis.tis.llnl.gov> carlson@lance.tis.llnl.gov (John Carlson) writes:
>I spent last night puzzling over this one, I still don't have an answer.
>
>Given:
>	A, B circles in R2 and an two points P & Q, one on
>each circle (P on A, Q on B).
>
>Construct a curve C with endpoints P & Q such that the curve is
>normal to A & B at P & Q.  C only intersects A & B at P & Q.  The
>function describing the curve should be differentiable at all
>points on the curve except P & Q.  C is made up of at most 2
>segments (3 parametric quadratics won't do! :-).

You might try a cubic spline. A simpler solution eludes me at the moment.
What type of curve, anyway?
-- 

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