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#### Rational points on circles

##### MPS-Authors
http://pubman.mpdl.mpg.de/cone/persons/resource/persons44210

Burnikel,  Christoph
Algorithms and Complexity, MPI for Informatics, Max Planck Society;

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##### Fulltext (public)

1998-1-023
(Any fulltext), 10KB

##### Supplementary Material (public)
There is no public supplementary material available
##### Citation

Burnikel, C.(1998). Rational points on circles (MPI-I-1998-1-023). Saarbrücken: Max-Planck-Institut für Informatik.

Cite as: http://hdl.handle.net/11858/00-001M-0000-0014-7B72-E
##### Abstract
We solve the following problem. For a given rational circle $C$ passing through the rational points $p$, $q$, $r$ and a given angle $\alpha$, compute a rational point on $C$ whose angle at $C$ differs from $\alpha$ by a value of at most $\epsilon$. In addition, try to minimize the bit length of the computed point. This document contains the C++ program |rational_points_on_circle.c|. We use the literate programming tool |noweb| by Norman Ramsey.