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 a(b2 - c2) : b(c2 - a2) : c(a2 - b2)
Barycentrics a2(b2 - c2) : b2(c2 - a2) : c2(a2 - b2)X(512) is the point in which the line of the 1st and 2nd Brocard points meets the line at infinity.
X(512) lies on these lines: 1,875 4,879 30,511 32,878 39,881 74,842 99,805 110,249 111,843 187,237 316,850 660,1016 670,886
X(512) = orthopoint of X(511)
X(512) = isogonal conjugate of X(99)
X(512) = isotomic conjugate of X(670)
X(512) = anticomplementary conjugate of X(148)
X(512) = complementary conjugate of X(115)X(512) = X(I)-Ceva conjugate of X(J) for these (I,J): (4,115), (66,125), (99,39), (110,6), (112,32), (1018,1500), (1306,1504), (1307,1505)
X(512) = crosspoint of X(I) and X(J) for these (I,J): (4,112), (6,110), (83,99)
X(512) = crosssum of X(I) and X(J) for these (I,J): (1,1019), (2,523), (3,525), (6,669), (39,512), (100,190), (311,850), (514,1125), (643,662)
X(512) = crossdifference of any two points on line X(2)X(6)
X(512) = X(112)-line conjugate of X(30)