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) = (1 - sec A)/(1 + cos A)
Barycentrics (sin A)f(A,B,C) : (sin B)f(B,C,A) : (sin C)f(C,A,B)Let triangle A0B0C0 be as defined for X(1118). Let A1 be the orthogonal projection of A0 onto line BC, and define B1 and C1 cyclically. Then triangle A1B1C1 is perspective to ABC, and the perspector is X(1119). (Antreas Hatzipolakis, #5321, 4/30/02)
X(1119) lies on these lines:
3,347 4,7 19,57 28,279 34,269 142,281 393,1086 579,1020 915,934X(1119) = isogonal conjugate of X(1260)
X(1119) = isotomic conjugate of X(1265)
X(1119) = X(34)-cross conjugate of X(278)