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 bc(b + c - a)2 : ca(c + a - b)2 : ab(a + b - c)2
= cos(A/2) csc3(A/2) : cos(B/2) csc3(B/2) : cos(C/2) csc3(C/2)Barycentrics (b + c - a)2 : (c + a - b)2 : (a + b - c)2
X(346) lies on these lines:
2,37 6,145 8,9 45,594 69,144 78,280 100,198 219,644 220,1043 253,306 279,304 281,318 573,1018X(346) = isogonal conjugate of X(1407)
X(346) = isotomic conjugate of X(279)
X(346) = X(312)-Ceva conjugate of X(8)
X(346) = X(200)-cross conjugate of X(8)
X(346) = crosspoint of X(312) and X(341)
X(346) = crosssum of X(604) and X(1106)