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

RACSAM (2001)

- Volume: 95, Issue: 1, page 57-64
- ISSN: 1578-7303

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topGuzmán, 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 -

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