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 1/a3 : 1/b3 : 1/c3
= csc(A - ω) : csc(B - ω) : csc(C - ω)Barycentrics 1/a2 : 1/b2 : 1/c2
X(76) lies on these lines:
1,350 2,39 3,98 4,69 5,262 6,83 8,668 10,75 13,299 14,298 17,303 18,302 31,734 32,384 85,226 95,96 100,767 115,626 141,698 275,276 297,343 321,561 335,871 338,599 485,491 486,492 524,598 689,755 693,764 761,789 826,882X(76) is the {X(2),X(194)}-harmonic conjugate of X(39).
X(76) = reflection of X(194) in X(39)
X(76) = isogonal conjugate of X(32)
X(76) = isotomic conjugate of X(6)
X(76) = complement of X(194)
X(76) = anticomplement of X(39)
X(76) = X(I)-Ceva conjugate of X(J) for these (I,J): (308,2), (310,75)
X(76) = cevapoint of X(I) and X(J) for these (I,J): (2,69), (6,22), (75,312), (311,343), (313,321), (339,525)
X(76) = X(I)-cross conjugate of X(J) for these (I,J): (2,264), (69,305), (141,2), (321,75), (343,69), (525,99)
X(76) = crosssum of X(669) and X(1084)
X(76) = crossdifference of any two points on line X(669)X(688)
X(76) = X(I)-beth conjugate of X(J) for these (I,J): (76,85), (799,348)