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 b2c2/(b + c) : c2a2/(c + a) : a2b2/(a + b)
= [a csc(A - ω)]/(b + c) : [b csc(B - ω)]/(c + a) :[c csc(C - ω)]/(a + b)Barycentrics bc/(b + c) : ca/(c + a) : ab/(a + b)
X(274) lies on these lines:
1,75 2,39 7,959 10,291 21,99 28,242 57,85 58,870 69,443 81,239 88,799 110,767 183,474 213,894 264,475 278,331 315,377 325,442 961,1014X(274) = isogonal conjugate of X(213)
X(274) = isotomic conjugate of X(37)
X(274) = complement of X(1655)
X(274) = X(310)-Ceva conjugate of X(314)
X(274) = cevapoint of X(I) and X(J) for these (I,J): (2,75), (85,348), (86,333)
X(274) = X(I)-cross conjugate of X(J) for these (I,J): (2,86), (75,310), (81,286), (333,314)
X(274) = crossdifference of any two points on line X(669)X(798)