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(60)
Barycentrics a2/f(a,b,c) : b2/f(b,c,a): c2/f(c,a,b)
X(2171) lies on these lines:
1,572 6,1411 7,192 9,1405 12,594 19,41 37,65 42,1824 57,1255 101,1781 172,1950 181,756 226,306 312,1240 517,2269 894,1959 1100,1404 1108,1475 1254,1500 1402,1962 1841,1887 2173,2174 2262,2347X(2171) = isogonal conjugate of X(2185)
X(2171) = X(I)-Ceva conjugate of X(J) for these I,J: 12,756 37,2197 65,181 226,12
X(2171) = cevapoint of X(181) and X(1500)
X(2171) = X(I)-cross conjugate of X(J) for these I,J: 115,661 181,1254 1500,756
X(2171) = crosspoint of X(I) and X(J) for these I,J: 1,2051 37,1826 65,226
X(2171) = crosssum of X(I) and X(J) for these I,J: 1,572 2,284 81,1790