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(1295)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1785) lies on these lines:
1,4 2,1074 9,393 10,158 20,1076 25,1324 36,108 37,53 40,1118 46,208 65,1872 106,1309 240,522 406,498 407,1844 475,499 517,1361 519,1897 942,1887 942,1887 1210,1895 1249,1743 1465,1532 1712,1714 1770,1771 1783,1886 1824,1894 1830,1835 1867,1904X(1785) = reflection of X(1845) in X(1875)
X(1785) = isogonal conjugate of X(1795)
X(1785) = inverse-in-incircle of X(946)
X(1785) = X(4)-Ceva conjugate of X(1845)