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(943)
Barycentrics af(a,b,c) : bf(b,c,a) : cf(c,a,b)
X(1770) lies on these lines:
1,7 3,1836 4,46 5,1155 10,191 27,1780 28,1633 30,65 35,79 36,946 40,1478 47,1754 57,1479 109,225 165,498 382,1837 1707,1714 1710,1782 1724,1738 1744,1826 1771,1785 1885,1905X(1770) = cevapoint of X(46) and X(1717)