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 f(a,b,c) : f(b,c,a) : f(c,a,b), where f(a,b,c) = - (cos A)/x + (cos B)/y + (cos C)/z, x : y : z = X(287)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1755) lies on these lines:
6,893 19,27 31,48 44,513 610,1707 1580,1581X(1755) = isogonal conjugate of X(1821)
X(1755) = X(I)-Ceva conjugate of X(J) for these (I,J): (1581,1964), (1821,1)
X(1755) = cevapoint of X(1580) and X(1955)
X(1755) = crosspoint of X(I) and X(J) for these (I,J): (1,1821), (31,1967), (57,741), (240,1959)
X(1755) = crosssum of X(I) and X(J) for these (I,J): (1,1755), (9,740), (75,1966), (293,1910)
X(1755) = X(I)-aleph conjugate of X(J) for these (I,J): (98,1580), (1821,1755)