Napoleon Crossdifference

Author

Eric W. Weisstein
November 15, 2005

This notebook downloaded from http://mathworld.wolfram.com/notebooks/PlaneGeometry/NapoleonCrossdifference.nb.

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

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

Derivation

Symmetrize[Simplify[Factor[ToSidelengths[TrigExpand[Crossdifference@@(NapoleonPoint/@{1,2})]]/.Sqrt[s_]:>FullSimplify[Sqrt[Expand[s]],TriangleQ[]]],TriangleQ[]]]

Symmetrize[ToAngles[%]]

Trilinears[X[1510]]