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) = bc[b sec(B + ω) + c sec(C + ω)]
= cos(B - C) cos 2ω - sin ω sin(A + ω) (Peter J. C. Moses, 9/12/03)
Barycentrics g(a,b,c) : g(b,c,a) : g(c,a,b), where g(a,b,c) = b sec(B + ω) + c sec(C + ω)
X(114) = nine-point-circle-antipode of X(115)
X(114) = X(98)-of-medial triangle
X(114) = X(103)-of-orthic triangle.
X(114) lies on these lines:
2,98 3,127 4,99 5,39 25,135 52,211 113,690 132,684 136,427 325,511 381,543
X(114) = isogonal conjugate of X(2065)
X(114) = midpoint of X(I) and X(J) for these (I,J): (4,99), (98,147)
X(114) = reflection of X(I) in X(J) for these (I,J): (3,620), (115,5)
X(114) = complementary conjugate of X(511)
X(114) = X(I)-Ceva conjugate of X(J) for these (I,J): (2,230), (4,511)
X(114) = crosspoint of X(2) and X(325)
X(114) = orthojoin of X(230)