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) = bc[a2(2a2 - b2 - c2) + (b2 - c2)2]Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(230) lies on these lines:
2,6 5,32 12,172 25,53 30,115 39,140 50,858 111,476 112,403 231,232 393,459 427,571 538,620 549,574 625,754X(230) = midpoint of X(I) and X(J) for these (I,J): (115,187), (325,385), (395,396)
X(230) = isogonal conjugate of X(2987)
X(230) = complement of X(325)
X(230) = X(I)-Ceva conjugate of X(J) for these (I,J): (2,114), (297,1503)
X(230) = crosspoint of X(2) and X(98)
X(230) = crosssum of X(6) and X(511)
X(230) = crossdifference of any two points on line X(3)X(512)
X(230) = X(2)-Hirst inverse of X(193)
X(230) = X(I)-beth conjugate of X(J) for these (I,J): (281,230), (645,230)