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(85)
Barycentrics a2/f(a,b,c) : b2/f(b,c,a): c2/f(c,a,b)
X(2175) lies on these lines:
6,692 9,2330 25,181 31,184 32,560 41,1253 42,2273 48,2223 55,219 154,1460 182,238 213,1973 344,1083 601,1092 760,1760 1036,1682 1037,1362 1401,1473 1631,2245 1691,2176 2056,2162 2209,2210X(2175) = X(I)-Ceva conjugate of X(J) for these I,J: 31,6 31,32 2194,41
X(2175) = X(1918)-cross conjugate of X(2212)
X(2175) = crosspoint of X(I) and X(J) for these I,J: 31,41 55,607
X(2175) = crosssum of X(I) and X(J) for these I,J: 7,348 8,344 74,85 349,1441