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(34)
Barycentrics (y + z) tan A : (z + x) tan B : (x + y) tan C, x : y : z = X(34)
X(1837) lies on these lines:
1,5 3,1737 4,65 6,1826 8,210 10,55 19,1852 20,1155 30,46 33,429 40,1728 56,515 78,1329 221,1877 354,388 382,1770 499,1385 517,1479 942,1478 944,1319 1040,1722 1399,1771 1464,1745 1853,1854X(1837) = midpoint of X(65) and X(1898)
X(1837) = reflection of X(I) in X(J) for these (I,J): (1,496), (56,1210), (78,1329)
X(1837) = inverse-in-Fuhrmann-circle of X(11)
X(1837) = crosspoint of X(4) and X(8)
X(1837) = crosssum of X(3) and X(56)