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K746
K746

(-u + v + w) x (v^2 (u + v)^2 y^2 - w^2 (u + w)^2 z^2) = 0

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

X(1), X(177), X(234)

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.