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too complicated to be written here. Click on the link to download a text file.

X(2), X(3)

vertices of the CircumTangential triangle

its midpoints

vertices of the Thomson triangle

foci of the Steiner in-ellipse

fixed points of the involution f in page K024

infinite points of pK(X6, X3534)

K727 is pkT(X3) as defined in the page K024.

The Thomson isogonal transform of K727 is K833. See there for further properties.