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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.

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  AUTHOR = {Burnikel, Christoph},
  TITLE = {Rational points on circles},
  TYPE = {Research Report},
  INSTITUTION = {Max-Planck-Institut f{\"u}r Informatik},
  ADDRESS = {Im Stadtwald, D-66123 Saarbr{\"u}cken, Germany},
  NUMBER = {MPI-I-98-1-023},
  MONTH = {October},
  YEAR = {1998},
  ISSN = {0946-011X},