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) = 2 cos B cos C + sin(A + ω) csc ω
= g(a,b,c) : g(b,c,a): g(c,a,b), where g(a,b,c) = bc[a4 - b4 - c4 + 2(a2b2 + b2c2 + c2a2)] (Eric Danneels, Nov. 11, 2004)Barycentrics (sin A)f(A,B,C) : (sin B)f(B,C,A) : (sin C)f(C,A,B)
The circle (X(4),2R) is identified at X(2474).
X(2548) lies on these lines:
2,32 4,39 5,6 10,1572 20,574 115,147 148,1569 172,499 187,631 211,263 217,1899 230,1656 316,2021 388,1015 427,2207 497,1500 498,1914 516,1571 625,1692 1478,2275 1479,2276 1504,1588 1505,1587 1573,2551 1574,2550 2033,2543 2034,2542 2035,2547 2036,2546