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) = a2[b sin(A - B) - c sin(A - C)]
Trilinears f(a,b,c) : f(b,c,a) : f(c,a,b), where f(a,b,c) = a3(b2 - c2)(b2 + c2 - a2 ) (M. Iliev, 5/13/07)Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(3049) lies on these lines:
6,523 112,2713 250,2715 421,2501 512,1692 520,647 669,688 924,2485 1510,2492X(3049) = midpoint of X(6) and X(3050)
X(3049) = reflection of X(2451) in X(6)
X(3049) = X(I)-Ceva conjugate of X(J) for these I,J: 2623,512 2715,237
X(3049) = cevapoint of X(647) and X(2524)
X(3049) = crosspoint of X(I) and X(J) for these I,J: 6,1576 512,647
X(3049) = crosssum of X(I) and X(J) for these I,J: 2,950 4,2489 99,648 427,2501 647,1899