## X(345) (ISOTOMIC CONJUGATE OF X(278))

 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)/(1 - sec A) : (csc B)/(1 - sec B) : (csc C)/(1 - sec C)
= bc(b + c - a)(b2 + c2 - a2) : ca(c + a - b)(c2 + a2 - b2) : ab(a + b - c)(a2 + b2 - c2)

Barycentrics    1/(1 - sec A) : 1/(1 - sec B) : 1/(1 - sec C)

X(345) lies on these lines:
2,37    8,21    22,100    57,728    63,69    78,1040    190,329    219,332    280,341    304,348    498,1089

X(345) = isogonal conjugate of X(608)
X(345) = isotomic conjugate of X(278)
X(345) = X(I)-Ceva conjugate of X(J) for these (I,J): (304,69), (332,78)
X(345) = X(I)-cross conjugate of X(J) for these (I,J): (78,69), (219,8), (306,312)

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