## X(310) (ISOTOMIC CONJUGATE OF X(42))

 Interactive Applet

You can move the points A, B and C (click on the point and drag it).
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You can also construct all centers related with this one (as described in ETC) using the “Run Macro Tool”. To do this, click on the icon , select the center name from the list and, then, click on the vertices A, B and C successively.

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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           b3c3/(b + c) : c3a3/(c + a) : a3b3/(a + b)
Barycentrics    b2c2/(b + c) : c2a2/(c + a) : a2b2/(a + b)

X(310) lies on these lines: 2,39    7,314    38,75    86,350    99,675    261,272    321,335    333,673    670,903    871,982

X(310) = isogonal conjugate of X(1918)
X(310) = isotomic conjugate of X(42)
X(310) = cevapoint of X(I) and X(J) for these (I,J): (75,76), (274,314)
X(310) = X(75)-cross conjugate of X(274)

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