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) = (cos A)/(y + z), x : y : z = X(1249)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1817) lies on these lines:
2,3 40,1819 57,77 58,937 63,610 100,306 110,972 189,333 196,347 198,329 572,1730 662,1812 1172,1214 1396,1465X(1817) = isogonal conjugate of X(1903)
X(1817) = X(I)-Ceva conjugate of X(J) for these (I,J): (333,81), (1444,21)
X(1817) = cevapoint of X(I) and X(J) for these (I,J): (3,610), (40,198)