Geodesic
Investigation and proof of a property of interior angle bisector in a triangle
The Teaching of Mathematics, XIII (2010) no. 1, p. 35

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

The paper is focused on educational practices which may enable students to discover the property of interior angle bisector in a triangle with the help of exploration of dynamic constructions. Interactive geometry software is used for exploring relationships between geometrical objects, for transition from conjecture to verification of a statement, and for development of discovered relationships. Second part of the paper presents various methods to prove the formulated theorem based on the similarity of triangles, trigonometric law of sines, and analytic method.
Classification : 1AMS97G40 2ZDME53 G43
Keywords: Investigation, triangle, angle bisector, dynamic construction, proof, Apollonius circle. 
@article{TM2_2010_XIII_1_a2,
     author = {Stanislav Luk\'a\v{c}},
     title = {Investigation and proof of a property of interior angle bisector in a triangle},
     journal = {The Teaching of Mathematics},
     pages = {35 },
     publisher = {mathdoc},
     volume = {XIII},
     number = {1},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TM2_2010_XIII_1_a2/}
}
TY  - JOUR
AU  - Stanislav Lukáč
TI  - Investigation and proof of a property of interior angle bisector in a triangle
JO  - The Teaching of Mathematics
PY  - 2010
SP  - 35 
VL  - XIII
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TM2_2010_XIII_1_a2/
LA  - en
ID  - TM2_2010_XIII_1_a2
ER  - 
%0 Journal Article
%A Stanislav Lukáč
%T Investigation and proof of a property of interior angle bisector in a triangle
%J The Teaching of Mathematics
%D 2010
%P 35 
%V XIII
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TM2_2010_XIII_1_a2/
%G en
%F TM2_2010_XIII_1_a2
Stanislav Lukáč. Investigation and proof of a property of interior angle bisector in a triangle. The Teaching of Mathematics, XIII (2010) no. 1, p. 35 . http://geodesic.mathdoc.fr/item/TM2_2010_XIII_1_a2/