INSTITUTO DE MATEMÁTICA
HJB --- GMA --- UFF

X(3091)
(INTERSECTION OF LINES X(2)X(3) AND X(11)X(153))


Click here to access the list of all triangle centers.

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 + cos(B - C)
Barycentrics    (sin A)f(A,B,C) : (sin B)f(B,C,A) : (sin C)f(C,A,B)

X(3091) lies on these lines:
2,3    7,1210    8,908    10,962    11,153    12,497    68,1173    110,578    114,148    115,147    116,152    118,150    119,149    124,151    125,146    145,355    155,1994    156,567    193,576    194,262    226,938    253,264    324,1093    347,1838    390,1479    485,1132    486,1131    495,1058    496,1056    516,1698    569,1614    637,1271    638,1270    1007,1975    1329,2550    1348,2543    1349,2542    1454,1776    1478,3086    1506,2549    1676,2547    1677,2546    1788,1836    1853,2883    2009,2545    2010,2544    2551,2886    3068,3071    3069,3070

X(3091) = midpoint of X(4) and X(631)
X(3091) = reflection of X(I) in X(J) for these (I,J): (3,632), (631,1656), (1656,5)
X(3091) = inverse-in-orthocentroidal-circle of X(20)
X(3091) = anticomplement of X(631)


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

If you have questions or suggestions, please, contact us using the e-mail presented here.

Departamento de Matemática Aplicada -- Instituto de Matemática -- Universidade Federal Fluminense




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