Journal for Geometry and Graphics 10 (2006), No. 2, 133--136
Copyright Heldermann Verlag 2006
A Note on Similar-Perspective Triangles
Mowaffaq Hajja
Mathematics Department, Yarmouk University, Irbid, Jordan
mhajja@yu.edu.jo
Horst Martini
Faculty of Mathematics, Technical University, 09107 Chemnitz, Germany
horst-martini@mathematik.tu-chemnitz.de
An old theorem of F. E. Wood states that if two triangles in the Euclidean plane are directly similar and perspective from a point then either their sides are parallel in pairs or their circumcircles pass through the point of perspectivity. In this note, we give a simple proof using complex numbers and the notion of triangle shape.
Keywords: Similar perspective triangles, Wood's theorem, triangle geometry.
MSC: 51M04
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