The envelope of the Wallace-Simpson lines of a triangle. A simple proof of the Steiner problem on the deltoid.

Guzmán, Miguel de. "The envelope of the Wallace-Simpson lines of a triangle. A simple proof of the Steiner problem on the deltoid.." RACSAM 95.1 (2001): 57-64. <http://eudml.org/doc/41600>.

@article{Guzmán2001,
abstract = {A simple proof is presented of a famous, and difficult, theorem by Jakob Steiner. By means of a straightforward transformation of the triangle, the proof of the theorem is reduced to the case of the equilateral triangle. Several relations of the Steiner deltoid with the Feuerbach circle and the Morley triangle appear then as obvious.},
author = {Guzmán, Miguel de},
journal = {RACSAM},
keywords = {Wallace theorem; Steiner deltoid; Feuerbach circle; Morley triangle},
language = {eng},
number = {1},
pages = {57-64},
title = {The envelope of the Wallace-Simpson lines of a triangle. A simple proof of the Steiner problem on the deltoid.},
url = {http://eudml.org/doc/41600},
volume = {95},
year = {2001},
}

TY - JOUR
AU - Guzmán, Miguel de
TI - The envelope of the Wallace-Simpson lines of a triangle. A simple proof of the Steiner problem on the deltoid.
JO - RACSAM
PY - 2001
VL - 95
IS - 1
SP - 57
EP - 64
AB - A simple proof is presented of a famous, and difficult, theorem by Jakob Steiner. By means of a straightforward transformation of the triangle, the proof of the theorem is reduced to the case of the equilateral triangle. Several relations of the Steiner deltoid with the Feuerbach circle and the Morley triangle appear then as obvious.
LA - eng
KW - Wallace theorem; Steiner deltoid; Feuerbach circle; Morley triangle
UR - http://eudml.org/doc/41600
ER -