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) = a[16D2 + (a2+c2-b2)(a2+b2-c2)][16D2 - 3(b2+c2-a2)2],
where D = area(ABC).
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
As the isogonal conjugate of a point on the circumcircle, X(1154) lies on the line at infinity; X(1154) is, in fact, the point where the Euler line of the orthic triangle meets the line at infinity (Bernard Gibert, Hyacinthos 1498, September 25, 2000).
X(1154) lies on these lines:
2,568 3,54 4,93 5,51 26,154 30,511 35,500 140,389 185,550 186,323 403,1112
X(1154) = isogonal conjugate of X(1141)
X(1154) = complementary conjugate of X(128)
X(1154) = X(I)-Ceva conjugate of X(J) for these (I,J): (3,1511), (4,128)
X(1154) = crosspoint of X(I) and X(J) for these (I,J): (5,1263), (323,340)
X(1154) = crosssum of X(I) and X(J) for these (I,J): (3,539), (54,1157)