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 (y + z) sec A : (z + x) sec B : (x + y) sec C, x : y : z = X(10)
Barycentrics (y + z) tan A : (z + x) tan B : (x + y) tan C, x : y : z = X(10)
X(1829) lies on these lines:
1,25 4,8 6,19 10,427 24,1385 27,239 28,60 29,242 40,1593 52,912 56,1452 57,1398 209,1869 225,1866 235,946 278,959 388,1892 392,406 407,1838 428,519 429,960 444,1193 468,1125 516,1885 518,1843 580,1782 1100,1474 1395,1468 1482,1598 1724,1726 1825,1877 1831,1842 1852,1858 1861,1883X(1829) = reflection of X(1902) in X(4)
X(1829) = isogonal conjugate of X(1791)
X(1829) = X(I)-Ceva conjugate of X(J) for these (I,J): (4,429), (19,444)
X(1829) = crosspoint of X(I) and X(J) for these (I,J): (4,28), (278,286))
X(1829) = crosssum of X(I) and X(J) for these (I,J): (3,72), (37,197), (219,228)