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 b3c3/(b2 + c2) : c3a3/(c2 + a2) : a3b3/(a2 + b2)
= csc2A csc(A + ω) : csc2B csc(B + ω) : csc2C csc(C + ω)
= [csc(A - ω)]/(b2 + c2) : [csc(B - ω)]/(c2 + a2) : [csc(C - ω)]/(a2 + b2)Barycentrics (b2c2)/(b2 + c2) : (c2a2)/(c2 + a2) : (a2b2)/(a2 + b2)
= csc A csc(A + ω) : csc B csc(B + ω) : csc C csc(C + ω)
X(308) lies on these lines: 2,702 6,76 25,183 42,313 69,263 111,689 141,670 251,385 290,311
X(308) = isogonal conjugate of X(3051)
X(308) = isotomic conjugate of X(39)
X(308) = cevapoint of X(2) and X(76)
X(308) = X(I)-cross conjugate of X(J) for these (I,J): (2,83), (385,290)