A Note on Similar-Perspective Triangles
Journal for geometry and graphics, Tome 10 (2006) no. 2, pp. 133-136
Voir la notice de l'article provenant de la source Heldermann Verlag
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.
Classification :
51M04
Mots-clés : Similar perspective triangles, Wood's theorem, triangle geometry
Mots-clés : Similar perspective triangles, Wood's theorem, triangle geometry
M. Hajja; H. Martini. A Note on Similar-Perspective Triangles. Journal for geometry and graphics, Tome 10 (2006) no. 2, pp. 133-136. http://geodesic.mathdoc.fr/item/JGG_2006_10_2_JGG_2006_10_2_a1/
@article{JGG_2006_10_2_JGG_2006_10_2_a1,
author = {M. Hajja and H. Martini},
title = {A {Note} on {Similar-Perspective} {Triangles}},
journal = {Journal for geometry and graphics},
pages = {133--136},
year = {2006},
volume = {10},
number = {2},
url = {http://geodesic.mathdoc.fr/item/JGG_2006_10_2_JGG_2006_10_2_a1/}
}