Interactive Applet |
You can move the points A, B and C (click on the point and drag it).
Press the keys “+” and “−” to zoom in or zoom out the visualization window and use the arrow keys to translate it.
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.
Information from Kimberling's Encyclopedia of Triangle Centers |
Trilinears a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b), where f(a,b,c) is as in X(47)
Barycentrics a2/f(a,b,c) : b2/f(b,c,a): c2/f(c,a,b)
X(2165) lies on these lines:
2,311 4,96 5,6 25,53 37,91 111,925 115,577 206,1976 393,847 493,590 494,615 1263,2079 1321,1322 1400,1454X(2165) = isogonal conjugate of X(1993)
X(2165) = X(96)-Ceva conjugate of X(2351)
X(2165) = cevapoint of X(115) and X(647)
X(2165) = X(I)-cross conjugate of X(J) for these I,J: 184,4 216,6 2351,68
X(2165) = crosspoint of X(2) and X(254)
X(2165) = crosssum of X(I) and X(J) for these I,J: 6,155 571,1147
X(2165) = barycentric product of X(485) and X(486)