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∑ a (b + c) x (c^2y^2 - b^2 z^2) = 0

X(1), X(37), X(81), X(846), X(2134), X(2135), X(13610)

excenters

vertices of the cevian triangle A'B'C' of X(37)

foci of the ellipse-I or Hofstadter ellipse E(1/2), the inellipse with perspector X(1), center X(37)

Geometric properties :

K1146 is the unique circum-cubic passing through the center X(37), the perspector X(1), the foci of (E), the ellipse-I.

K1146 is also the pK with pivot X(81), isopivot X(2134) in A'B'C'.

K1146 meets the Feuerbach hyperbola (F) at A, B, C, X(1) and two other points P1, P2 on the line (L) passing through X165, X846, X1719, X1721, X1766, X1781, X2938, X2941, etc.