Geodesic
On some Extensions of Morley’s Trisector Theorem
Journal for geometry and graphics, Tome 24 (2020) no. 2, pp. 197-205 Cet article a éte moissonné depuis la source Heldermann Verlag

Voir la notice de l'article

We establish a simple generalization for the famous theorem of Morley about trisectors in a triangle with a purely synthetic proof using only angle chasing and similar triangles. Furthermore, based on the converse construction, some other extensions of Morley's Theorem are created and proven.
Classification : 51M04, 51-03
Mots-clés : Morley's trisector theorem, Morley's triangle, equilateral triangle, perspective triangle 
@article{JGG_2020_24_2_JGG_2020_24_2_a4,
     author = {N. Dergiades and T. Q. Hung },
     title = {On some {Extensions} of {Morley{\textquoteright}s} {Trisector} {Theorem}},
     journal = {Journal for geometry and graphics},
     pages = {197--205},
     year = {2020},
     volume = {24},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JGG_2020_24_2_JGG_2020_24_2_a4/}
}
TY  - JOUR
AU  - N. Dergiades
AU  - T. Q. Hung 
TI  - On some Extensions of Morley’s Trisector Theorem
JO  - Journal for geometry and graphics
PY  - 2020
SP  - 197
EP  - 205
VL  - 24
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/JGG_2020_24_2_JGG_2020_24_2_a4/
ID  - JGG_2020_24_2_JGG_2020_24_2_a4
ER  - 
%0 Journal Article
%A N. Dergiades
%A T. Q. Hung 
%T On some Extensions of Morley’s Trisector Theorem
%J Journal for geometry and graphics
%D 2020
%P 197-205
%V 24
%N 2
%U http://geodesic.mathdoc.fr/item/JGG_2020_24_2_JGG_2020_24_2_a4/
%F JGG_2020_24_2_JGG_2020_24_2_a4
N. Dergiades; T. Q. Hung . On some Extensions of Morley’s Trisector Theorem. Journal for geometry and graphics, Tome 24 (2020) no. 2, pp. 197-205. http://geodesic.mathdoc.fr/item/JGG_2020_24_2_JGG_2020_24_2_a4/