## X(193) (X(4)-CEVA CONJUGATE OF X(2))

 Interactive Applet

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This applet was built with the free and multiplatform dynamic geometry software C.a.R..

 Information from Kimberling's Encyclopedia of Triangle Centers

Trilinears           (csc A)(cot B + cot C - cot A) : (csc B)(cot C + cot A - cot B) : (csc C)(cot A + cot B - cot C)

Barycentrics    cot B + cot C - cot A : cot C + cot A - cot B : cot A + cot B - cot C
= 3a2 - b2 - c2 : 3b2 - c2 - a2 : 3c2 - a2 - b2 (Milorad Stevanovic, 5/12/2003)

X(193) lies on these lines:
2,6    7,239    8,894    20,185    23,159    44,344    66,895    144,145    146,148    253,287    317,393    330,959    371,488    372,487    608,651

X(193) = reflection of X(I) in X(J) for these (I,J): (3,1353), (4,1351), (69,6), (1352,576)
X(193) = isotomic conjugate of X(2996)
X(193) = anticomplement of X(69)
X(193) = anticomplementary conjugate of X(1370)
X(193) = X(I)-Ceva conjugate of X(J) for these (I,J): (4,2), (459,439)
X(193) = crosspoint of X(4) and X(459)
X(193) = X(2)-Hirst inverse of X(230)
X(193) = X(I)-beth conjugate of X(J) for these (I,J): (645,193), (662,608)

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