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) = - (cos A)/x + (cos B)/y + (cos C)/z, x : y : z = X(104)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1737) lies on these lines:
1,2 3,1837 4,46 5,65 11,517 12,942 29,1780 30,1155 35,950 36,80 40,1479 47,1724 56,355 57,1478 72,1329 91,225 109,1877 117,1845 119,912 150,1447 240,522 281,1723 354,495 381,1836 427,1905 484,516 579,1826 758,908 952,1319 1718,1870 1747,1890 1782,1842X(1737) = midpoint of X(36) and X(80)
X(1737) = cevapoint of X(46) and X(1718)
X(1737) = X(2252)-cross conjugate of X(914)
X(1737) = crosssum of X(I) and X(J) for these (I,J): (6,2316), (31,2183)