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) = a3(b2 - c2)(b4 + c4 - a2b2 - a2c2)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(2491) lies on these lines:
39,690 230,231 351,865 512,2021 669,688 804,2023 882,2422X(2491) = X(I)-Ceva conjugate of X(J) for these I,J: 882,688 2395,512 2396,511
X(2491) = crosspoint of X(I) and X(J) for these I,J: 2,805 112,1976 511,2396 512,2395 669,881
X(2491) = crosssum of X(I) and X(J) for these I,J: 6,804 98,2422 99,2421 325,525 645,874 670,880