Home page | Catalogue | Classes | Tables | Glossary | Notations | Links | Bibliography | Thanks | Downloads | Related Curves |
|||

with u:v:w = cosA/2:cosB/2:cosC/2 |
|||

X(1), X(177), X(234), X(7707), X(10489), X(14596), X(16016), X(18886), X(18887) |
|||

K746 is the locus of P whose anticevian triangle is perspective with the Mid-arc triangle. See TCCT 6.14. K746 is a pivotal cubic with rather complicated pole Ω, pivot P and isopivot Q. SEARCH numbers : 0.233349142841901, 0.297544492506777, 2.15341840365918 respectively. Peter Moses found rather nice barycentrics for these points (2018-06-01) : Ω = X(18885) = Sin[A] Tan[A/2] (Cos[B/2] + Cos[C/2])^2:: P = X(18886) = Tan[A/2] (Sec[A/2] + Tan[A/2]):: Q = X(18887) = Sin[A] (Cos[B/2] + Cos[C/2]) (Sin[B/2] + Sin[C/2]):: |