X(1975) (CROSSSUM OF PU(39))

 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           f(a,b,c) : f(b,c,a) : f(c,a,b), where f(a,b,c) = cos B cos C + (bc cos2A)/a2
Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

X(1975) lies on these lines:
3,76    4,325    6,194    20,64    25,305    30,315    32,538    56,350    75,958    190,220    221,664    264,1105    274,405    310,1011    316,382    378,1235    394,401    543,626    801,1073

X(1975) = midpoint of X(489) and X(490)
X(1975) = X(I)-Ceva conjugate of X(J) for these (I,J): (287,325), (801,69)
X(1975) = cevapoint of X(20) and X(194)

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