## X(1897) (ZOSMA TRANSFORM OF X(1054))

 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(1054)
Barycentrics    (y + z) tan A : (z + x) tan B : (x + y) tan C,    x : y : z = X(1054)

X(1897) lies on these lines:
1,318    4,145    27,295    29,1807    33,92    34,1120    78,1895    100,108    101,107    109,522    112,835    162,190    192,1013    243,518    278,1280    346,1249    519,1785    644,1783    726,1430

X(1897) = isogonal conjugate of X(1459)
X(1897) = anticomplement of X(2968)
X(1897) = X(648)-Ceva conjugate of X(1783)
X(1897) = cevapoint of X(I) and X(J) for these (I,J): (1,522), (523,1834), (650,1864)
X(1897) = X(101)-cross conjugate of X(190)
X(1897) = crosspoint of X(648) and X(811)
X(1897) = crosssum of X(647) and X(810)

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