init_elements()
z.A = point(0, 0)
z.B = point(5, 1)
L.AB = line(z.A, z.B)
z.C = point(0.8, 3)
T.ABC = triangle(z.A, z.B, z.C)
z.N = T.ABC.eulercenter
z.G = T.ABC.centroid
z.O = T.ABC.circumcenter
z.H = T.ABC.orthocenter
z.Ma, z.Mb, z.Mc = get_points(T.ABC:medial())
z.Ha, z.Hb, z.Hc = get_points(T.ABC:orthic())
z.Ea, z.Eb, z.Ec = get_points(T.ABC:extouch())
L.euler = T.ABC:euler_line()
C.circum = T.ABC:circum_circle()
C.euler = T.ABC:euler_circle()
z.I, z.J = intersection(L.euler, C.euler)
CO.E = conic(EL_bifocal(z.H, z.O, z.I))
PA.curve = CO.E:points(0, 1, 50)
L.AH = line(z.A, z.H)
L.BH = line(z.B, z.H)
L.CH = line(z.C, z.H)
z.X = intersection(L.AH, C.circum)
_, z.Y = intersection(L.BH, C.circum)
_, z.Z = intersection(L.CH, C.circum)
L.BC = line(z.B, z.C)
L.XO = line(z.X, z.O)
L.YO = line(z.Y, z.O)
L.ZO = line(z.Z, z.O)
z.x = intersection(L.BC, L.XO)
z.U = intersection(L.XO, CO.E)
_, z.V = intersection(L.YO, CO.E)
_, z.W = intersection(L.ZO, CO.E)