T(F) = antiorthic axis
R* = X(100) = a/(b-c)
C(F) = circumconic with perspector X(1), centre X(9).
C(R) = circumconic through I and G.
T(R*) = IK.
I(R*) = inconic with perspector R*.
F1= C(F)nC(R) = X(88) = a/(b+c-2a).
F2 = T(F)nT(R*) = X(44) = a(b+c-2a).
F3 = T(F)nT(R) = X(1635) = TG(F).
F4 = C(R)nFR = X(1022).
U = X(244) - the F-Ceva conjugate of R.
K137 is
(1) locus of X such that XX* is divided harmonically by T(F) and IK.
(2) F-Hirst inverse of C(R).
Isoconjugate points on K137 correspond to points X,Y on C(R) with U on XY.
The nodal tangents are T1, T2 which are
(3) the tangents from F to I(R*) - contacts on R*F3.
(4) lines joining F to T(F)nC(R),
(5) tripolars of T(R*)nC(F).
The pivotal conic PC has
(6) tangents T1, T2 as above, contacts on a line through F3.
(7) asymptote T(F), contact R.
(8) tangent T3 = F1F2, contact unlisted,
(9) tangent T4 = F1F3, contact F4.