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) = a(b2 + c2 + ab + ac) (M. Iliev, 5/13/07)
X(1193) lies on these lines:
1,2 3,31 6,41 21,238 35,595 36,58 37,992 38,72 39,213 57,959 63,988 106,1126 171,404 222,1106 244,942 405,748 474,750 518,872 999,1066 1045,1050X(1193) is the {X(1),X(43)}-harmonic conjugate of X(8).
X(1193) = isogonal conjugate of X(1220)
X(1193) = isotomic conjugate of X(1240)
X(1193) = crosspoint of X(I) and X(J) for these (I,J): (1,58), (6,893), (57,86)
X(1193) = crosssum of X(I) and X(J) for these (I,J): (1,10), (2,894), (9,42)
X(1193) = crossdifference of any two points on line X(522)X(649)