Triangle - Normalesup.org

ABC A0B0C0[BC] [AC] [AB]
CABC O H G
ABC O H G
D A C
ACD ABD
(BH) (CD) (CH) (BD)
A0[HD]
(HO) (AA0)AHD
O H G
(OH)ABC
L[AH]M[BH]N[CH]E[OH]
OLHA0E[LA0]
LA0AD
C1E EA0B0C0L
M N I J K ABC
C C1
ABC
CO[AB]MCR[OA]
(AB)R(AM)P(BM )Q I (BP )
(AQ) (BP ) (AQ)IC
ABC I ABC
[
AIB =3π
4
ABC C
[
ACI
ABC A0B0C0[BC] [AC] [AB]G
GBA0GA0C GCB0GB0A GAC0
GC0B