## X(1993) (ORTHOCORRESPONDENT OF X(3))

 Interactive Applet

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 Information from Kimberling's Encyclopedia of Triangle Centers

Trilinears           csc A cos 2A : csc B cos 2B : csc C cos 2C
Barycentrics    cos 2A : cos 2B : cos 2C

X(1993) lies on these lines:
2,6    3,54    4,155    20,1181    22,184    23,154    24,52    25,110    26,49    51,576    63,2003    68,1594    194,401    264,275    278,651    283,581    317,467    371,1599    372,1600    389,1092    399,1539    458,1235    493,588    494,589    569,1216    573,1790    631,1199    858,1899    1196,1570    1353,1368

X(1993) = reflection of X(22) in X(184)
X(1993) = isogonal conjugate of X(2165)
X(1993) = anticomplement of X(343)
X(1993) = X(I)-Ceva conjugate of X(J) for these (I,J): (264,3), (275,2), (317,24), (1585,1599), (1586,1600)
X(1993) = cevapoint of X(I) and X(J) for these (I,J): (6,155), (571,1147)
X(1993) = crosspoint of X(I) and X(J) for these (I,J): (249,648), (1585,1586)
X(1993) = crosssum of X(115) and X(647)

This is a joint work of
Humberto José Bortolossi, Lis Ingrid Roque Lopes Custódio and Suely Machado Meireles Dias.