## X(1859) (ZOSMA TRANSFORM OF X(226))

 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.

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This applet was built with the free and multiplatform dynamic geometry software C.a.R..

 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(226)
Barycentrics    (y + z) tan A : (z + x) tan B : (x + y) tan C,    x : y : z = X(226)

X(1859) lies on these lines:
1,1871    4,65    6,1096    11,132    19,25    27,243    29,960    40,1872    92,518    209,1826    210,281    278,354    942,1838    950,1852    1013,1748    1825,1902    1829,1831    1869,1894

X(1859) = X(I)-Ceva conjugate of X(J) for these (I,J): (4,1865), (107,650), (1838,1841)
X(1859) = crosspoint of X(I) and X(J) for these (I,J): (4,1172), (281,1896)
X(1859) = crosssum of X(3) and X(1214)

This is a joint work of
Humberto José Bortolossi, Lis Ingrid Roque Lopes Custódio and Suely Machado Meireles Dias.