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) = 1/[(b - c)(b2 + c2 - a2)] (M. Iliev, 5/13/07)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1783) lies on these lines:
4,218 6,281 19,1743 28,291 80,1172 100,112 101,108 150,1814 200,204 219,1249 240,1757 644,648 650,1415 651,653 899,1430 905,934 1103,1712 1718,1723 1785,1886X(1783) = isogonal conjugate of X(905)
X(1783) = X(I)-Ceva conjugate of X(J) for these (I,J): (648,1897), (653,108)
X(1783) = cevapoint of X(I) and X(J) for these (I,J): (1,1734), (6,650), (513,614)
X(1783) = crosspoint of X(I) and X(J) for these (I,J): (162,648), (653,1897)
X(1783) = crosssum of X(I) and X(J) for these (I,J): (647,656), (652,1459), (513,614)
X(1783) = X(I)-aleph conjugate of X(J) for these (I,J): (108,1707), (651,610), (653,19)