INSTITUTO DE MATEMÁTICA
HJB --- GMA --- UFF

X(1864)
(ZOSMA TRANSFORM OF X(278))


Click here to access the list of all triangle centers.

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 Run Macro Tool, select the center name from the list and, then, click on the vertices A, B and C successively.

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Download all construction files and macros: tc.zip (10.1 Mb).
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(278)
Barycentrics    (y + z) tan A : (z + x) tan B : (x + y) tan C,    x : y : z = X(278)

X(1864) lies on these lines:
3,1728    4,65    6,33    9,55    11,118    44,212    51,1824    56,1490    57,971    72,519    84,1466    227,774    329,497    381,942    389,1872    405,997    430,1827    452,960    1005,1776    1155,1708    1210,1532    1214,1736

X(1864) = X(I)-Ceva conjugate of X(J) for these (I,J): (1210,1108), (1897,650)
X(1864) = crosspoint of X(I) and X(J) for these (I,J): (4,9), (8,282)
X(1864) = crosssum of X(I) and X(J) for these (I,J): (3,57), (56,223)

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

If you have questions or suggestions, please, contact us using the e-mail presented here.

Departamento de Matemática Aplicada -- Instituto de Matemática -- Universidade Federal Fluminense



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