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)/(y + z), x : y : z = X(1282)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1818) lies on these lines:
1,142 3,48 9,991 42,750 69,73 198,1350 212,394 222,1260 241,518 386,1449 521,656 581,936 603,1259 997,1064 1193,1386X(1818) = X(I)-Ceva conjugate of X(J) for these (I,J): (1810,3), (1815,219)
X(1818) = crosspoint of X(3) and X(295)
X(1818) = crosssum of X(I) and X(J) for these (I,J): (1,1738), (4,242)