## X(1253) (ISOGONAL CONJUGATE OF X(1088))

 Interactive Applet

You can move the points A, B and C (click on the point and drag it).
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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           a2(b + c - a)2 : b2(c + a - b)2 : c2(a + b - c)2                                     = cos4A/2 : cos4B/2 : cos4C/2

X(1253) lies on these lines:
1,1170    3,1037    6,31    9,294    33,756    35,255    38,1040    40,1254    48,692    165,269    219,949    220,480    238,390    497,748

X(1253) = isogonal conjugate of X(1088)
X(1253) = X(55)-Ceva conjugate of X(41)
X(1253) = crosspoint of X(55) and X(220)
X(1253) = crosssum of X(I) and X(J) for these (I,J): (1,1445), (7,279)

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