symétriques de l'orthocentre
Author: Patrice Debart

Symétriques de l'orthocentre

A = (1.8849999999999998, 1.4150000000000007)
B = (8.664999999999996, -9.090000000000003)
C = (17.754999999999995, 3.4650000000000007)
ABC, AB, BC, AC = Polygon(A, B, C)
cercle = Circle(C, B, A)
I = Midpoint(BC)
J = Midpoint(AC)
K = Midpoint(AB)
pBC_A = OrthogonalLine(A, BC)
pAC_B = OrthogonalLine(B, AC)
pAB_C = OrthogonalLine(C, AB)
H = Intersect(pBC_A, pAB_C)
A_1 = Mirror(H, I)
B_1 = Mirror(H, J)
C_1 = Mirror(H, K)
B' = Intersect(AC, pAC_B)
A' = Intersect(BC, pBC_A)
C' = Intersect(AB, pAB_C)
A_2 = Mirror(H, BC)
B_2 = Mirror(H, AC)
C_2 = Mirror(H, AB)
AA_2 = Segment(A, A_2)
BB_2 = Segment(B, B_2)
CC_2 = Segment(C, C_2)
HA_1 = Segment(H, A_1)
HB_1 = Segment(H, B_1)
HC_1 = Segment(H, C_1)
α = Angle(A, B', B)
β = Angle(B, C', H)
γ = Angle(H, A', B)