X(523) (ISOGONAL CONJUGATE OF X(110))

 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           sin(B - C) : sin(C - A) : sin(A - B)
Barycentrics    b2 - c2 : c2 - a2 : a2 - b2

As the isogonal conjugate of a point on the circumcircle, X(523) lies on the line at infinity.

X(523) lies on these lines: 6,879    11,1090    23,385    30,511    69,655    74,477    75,876    98,842    99,691    110,476    112,935    141,882    230,231    250,648    325,684

X(523) = orthopoint of X(30)
X(523) = isogonal conjugate of X(110)
X(523) = isotomic conjugate of X(99)
X(523) = complementary conjugate of X(125)

X(523) = X(I)-Ceva conjugate of X(J) for these (I,J):
(1,11), (2,115), (4,125), (99,2), (100,442), (107,4), (108,429), (110,5), (112,427), (254,136), (264,338), (476,30), (685,1503), (1113,1312), (1114,1313)

X(523) = cevapoint of X(2) and X(148)
X(523) = X(I)-cross conjugate of X(J) for these (I,J): (115,2), (125,4)
X(523) = crosspoint of X(I) and X(J) for these (I,J): (2,99), (4,107), (54,110), (112,251)
X(523) = crossdifference of any two points on line X(3)X(6)
X(523) = X(30)-line conjugate of X(511)

X(523) = crosssum of X(I) and X(J) for these (I,J): (3,520), (5,523), (6,512), (101,692), (141,525), (184,647), (215,654), (513,942), (521,960), (924,1147)

X(523) = orthojoin of X(115)
X(523) = X(I)-Hirst inverse of X(J) for these (I,J): (6,1316), (30,542), (512,804)

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