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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

Horst Martini
Faculty of Mathematics, Technical University, 09107 Chemnitz, Germany

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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