On some properties of the Gergonne line of a triangle
Matematičeskoe obrazovanie, Tome 82 (2017) no. 2, pp. 60-73.

Voir la notice de l'article provenant de la source Math-Net.Ru

Some properties of Gergonne line of a triangle and their connections to Soddy circles are studied.
Mots-clés : Gergonne line
Keywords: Soddy line, Soddy circle.
@article{MO_2017_82_2_a5,
     author = {S. M. Takhayev},
     title = {On some properties of the {Gergonne} line of a triangle},
     journal = {Matemati\v{c}eskoe obrazovanie},
     pages = {60--73},
     publisher = {mathdoc},
     volume = {82},
     number = {2},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MO_2017_82_2_a5/}
}
TY  - JOUR
AU  - S. M. Takhayev
TI  - On some properties of the Gergonne line of a triangle
JO  - Matematičeskoe obrazovanie
PY  - 2017
SP  - 60
EP  - 73
VL  - 82
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MO_2017_82_2_a5/
LA  - ru
ID  - MO_2017_82_2_a5
ER  - 
%0 Journal Article
%A S. M. Takhayev
%T On some properties of the Gergonne line of a triangle
%J Matematičeskoe obrazovanie
%D 2017
%P 60-73
%V 82
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MO_2017_82_2_a5/
%G ru
%F MO_2017_82_2_a5
S. M. Takhayev. On some properties of the Gergonne line of a triangle. Matematičeskoe obrazovanie, Tome 82 (2017) no. 2, pp. 60-73. http://geodesic.mathdoc.fr/item/MO_2017_82_2_a5/

[1] Wolfram Web Resource , <ext-link ext-link-type='uri' href='http://mathworld.wolfram.com/GergonneLine.html'>http://mathworld.wolfram.com/GergonneLine.html</ext-link><ext-link ext-link-type='uri' href='http://mathworld.wolfram.com/GEOSCircle.html'>http://mathworld.wolfram.com/GEOSCircle.html</ext-link>

[2] P. Yiu, Notes on Euclidean Geometry, <ext-link ext-link-type='uri' href='http://math.fau.edu/Yiu/Geometry.html'>http://math.fau.edu/Yiu/Geometry.html</ext-link>

[3] C. Kimberling, Encyclopedia of Triangle Centers <ext-link ext-link-type='uri' href='http://faculty.evansville.edu/ck6/encyclopedia/ETC.html'>http://faculty.evansville.edu/ck6/encyclopedia/ETC.html</ext-link>

[4] Privalov I., Analiticheskaya geometriya, Nauka, M., 1964

[5] Jackson Frank M., Takhaev S., “Heronian triangles”, Forum Geom, 2015, no. 15 <ext-link ext-link-type='mr-item-id' href='http://mathscinet.ams.org/mathscinet-getitem?mr=3028298'>3028298</ext-link>

[6] Johnson R.A., Advanced Euclidean Geometry, Dover Publications, 1960 <ext-link ext-link-type='mr-item-id' href='http://mathscinet.ams.org/mathscinet-getitem?mr=120538'>120538</ext-link><ext-link ext-link-type='zbl-item-id' href='https://zbmath.org/?q=an:0090.37301'>0090.37301</ext-link>