Three-Chord Lemma

Author

Eric W. Weisstein
March 5, 2004

This notebook downloaded from http://mathworld.wolfram.com/notebooks/PlaneGeometry/Three-ChordLemma.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/Three-ChordLemma.html.

©2005 Wolfram Research, Inc. except for portions noted otherwise

Graphic

p=Through[{Cos,Sin}[#]]&/@{-2,1.5,-.5};
bisector=Line[Coordinates/@Intersections[Line[AngleBisectors[p][[2]]],Circle[{0,0},1]]];

Show[Graphics[
{
Circle[{0,0},1],
{Red,
bisector,
PointSize[.03],Point/@p,EndPoint[bisector],
Line[p],
EqualAngleDivisionTicks[p,2,1,.3,.07,.1]
}
},AspectRatio->Automatic,PlotRange->All]
]