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 - 2a2b2 - 2a2c2 + 2b2c2) (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(2549) lies on these lines:
2,99 3,230 4,39 6,30 10,1571 20,32 53,1597 69,538 147,1569 184,1562 187,376 193,754 194,315 388,1500 497,1515 516,1572 625,1007 1194,1370 1478,2276 1479,2275 1504,1587 1505,1588 1573,2550 1574,2551 1885,2207 2033,2542 2034,2543 2035,2546 2036,2547