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(1170)
Barycentrics a2/f(a,b,c) : b2/f(b,c,a): c2/f(c,a,b)
X(2293) lies on these lines:
1,7 3,1471 6,31 9,2340 33,1839 37,2310 48,1486 73,1456 200,391 284,2195 354,1418 500,1066 608,2356 651,2346 692,2317 756,1864 1001,1818 1201,1279 1400,2223X(2293) = X(I)-Ceva conjugate of X(J) for these I,J: 1,354 354,1475 651,657 1292,649
X(2293) = crosspoint of X(I) and X(J) for these I,J: 1,55 6,2191 354,1212
X(2293) = crosssum of X(I) and X(J) for these I,J: 1,7 1170,2346