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 (sin A)/(cos B + cos C) : (sin B)/(cos C + cos A) : (sin C)/(cos A + cos B)
Barycentrics a2/(cos B + cos C) : b2/(cos C + cos A) : c2/(cos A + cos B)
X(284) lies on these lines:
1,19 2,272 3,6 9,21 27,226 29,950 35,71 37,101 55,219 57,77 60,283 73,951 86,142 102,112 109,296 163,909 198,859 261,332 405,965 515,1065 942,1100X(284) = isogonal conjugate of X(226)
X(284) = isotomic conjugate of X(349)
X(284) = inverse-in-Brocard-circle of X(579)
X(284) = X(I)-Ceva conjugate of X(J) for these (I,J): (81,58), (333,283)
X(284) = cevapoint of X(I) and X(J) for these (I,J): (6,48), (41,55)
X(284) = X(55)-cross conjugate of X(21)
X(284) = crosspoint of X(I) and X(J) for these (I,J): (21,81), (29,333)
X(284) = crosssum of X(I) and X(J) for these (I,J): (37,65), (73,1400)
X(284) = crossdifference of any two points on line X(523)X(656)