max planck institut
informatik

# MPI-I-98-1-023

## Rational points on circles

### Burnikel, Christoph

MPI-I-98-1-023. October 1998, 14 pages. | Status: available - back from printing | Next --> Entry | Previous <-- Entry

Abstract in LaTeX format:
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.

Acknowledgement:
References to related material:

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URL to this document: http://domino.mpi-inf.mpg.de/internet/reports.nsf/NumberView/1998-1-023
BibTeX
@TECHREPORT{Burnikel98-1-023,
AUTHOR = {Burnikel, Christoph},
TITLE = {Rational points on circles},
TYPE = {Research Report},
INSTITUTION = {Max-Planck-Institut f{\"u}r Informatik},