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(105)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
Barycentrics g(a,b,c) : g(b,c,a) : g(c,a,b), where g(a,b,c) = 2abc - (b + c)[a2 - (b - c)2]
X(1738) lies on these lines:
1,142 2,968 4,1716 10,75 19,46 43,226 225,1788 238,516 240,522 518,1086 527,1757 528,1279 899,908 946,978 1054,1758 1708,1711 1724,1770X(1738) = crosspoint of X(75) and X(673)
X(1738) = crosssum of X(31) and X(672)