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 (sin 2A)(sin B + sin C) : (sin 2B)(sin C + sin A) : (sin 2C)(sin A + sin B)
Barycentrics (sin A sin 2A)(sin B + sin C) : (sin B sin 2B)(sin C + sin A) : (sin C sin 2C)(sin A + sin B)
X(228) lies on these lines:
3,63 9,1011 12,407 19,25 28,943 31,32 35,846 42,181 48,184 73,408 98,100 226,851X(228) = isogonal conjugate of X(286)
X(228) = X(I)-Ceva conjugate of X(J) for these (I,J): (3,71), (37,213), (55,42)
X(228) = crosspoint of X(I) and X(J) for these (I,J): (3,48), (37,72), (55,212), (71,73)
X(228) = crosssum of X(I) and X(J) for these (I,J): (4,92), (7,273), (27,29), (28,81)
X(228) = crossdifference of any two points on line X(693)X(905)
X(228) = X(212)-beth conjugate of X(228)