## X(2720) (SR(X(100), X(108)))

 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            f(a,b,c) : f(b,c,a) : f(c,a,b), where f(a,b,c) is as given just before X(2677) using P = X(100), U = X(108)
Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

X(2720) lies on the circumcircle and these lines:
1,2716    3,2745    7,2861    36,102    56,953    57,2717    59,100    65,2687    101,652    103,2078    104,1319    106,1457    108,513    109,1459    497,2723    517,1395    840,1617    883,2865    909,2272    915,1870    919,2423    929,2401    944,2734    972,1155    1214,2747    1397,2726    1402,2699    1420,2718    2283,2742

X(2720) = reflection of X(2745) in X(3)
X(2720) = isogonal conjugate of X(2804)
X(2720) = cevapoint of X(663) and X(1404)
X(2720) = X(I)-cross conjugate of X(J) for these I,J: 654,57    1319,59

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