X(1376) (EXSIMILICENTER(CIRCUMCIRCLE, SPIEKER CIRCLE))

 Interactive Applet

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 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) = a2 - ab - ac + 2bc
Barycentrics    g(a,b,c) : g(b,c,a) : g(c,a,b), where g(a,b,c) = b + c - a cos A

X(1376) lies on these lines:
1,474    2,11    3,10    4,1329    6,43    7,480    8,56    9,165    12,377    31,899    35,405    36,956    40,936    42,750    45,846    46,72    57,200    63,210    65,78    71,965    75,183    226,1260    227,1038    371,1377    372,1378    442,498    517,997    519,999    748,902    851,1211    978,1191    982,1054

X(1376) = midpoint of X(57) and X(200)
X(1376) = complement of X(497)
X(1376) = X(294)-Ceva conjugate of X(518)
X(1376) = cevapoint of X(43) and X(165)

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