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 f(a,b,c) : f(b,c,a) : f(c,a,b), where f(a,b,c) = a/[(b2 - c2)(b4 + c4 - a2b2 - a2c2)] (M. Iliev, 5/13/07)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(2715) lies on the circumcircle and these lines:
2,2857 3,2710 6,842 32,2698 58,2700 74,187 81,2856 98,230 99,249 103,1326 107,685 110,647 111,1495 112,512 232,1692 284,2708 287,2373 290,2367 476,2395 477,2549 511,1297 577,2706 691,2420 759,1910 827,1625 843,1384 879,935 933,2623 1304,2433 1333,2699 2193,2707 2407,2855X(2715) = reflection of X(2710) in X(3)
X(2715) = isogonal conjugate of X(2799)
X(2715) = cevapoint of X(I) and X(J) for these I,J: 512,1692 523,2450 1976,2422
X(2715) = X(I)-cross conjugate of X(J) for these I,J: 512,2065 989,98 1691,249 2422,1976