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

X(1870)
(ZOSMA TRANSFORM OF X(484))


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(484)

Trilinears           2 - sec A : 2 - sec B : 2 - sec C

Barycentrics    (y + z) tan A : (z + x) tan B : (x + y) tan C,    x : y : z = X(484)

X(1870) lies on these lines:
1,4    2,1060    3,1398    7,1061    8,475    11,403    12,1594    19,1449    20,1062    24,56    25,999    28,60    36,186    54,65    55,378    59,517    77,1119    104,1455    108,953    109,1735    208,1420    221,1181    232,1015    235,496    242,514    273,1442    354,1905    376,1040    389,1425    427,495    451,1125    459,614    519,1861    631,1038    651,912    982,1395    1000,1041    1006,1214    1100,1172    1318,1878    1385,1426    1718,1737    1725,1776    1831,1844

X(1870) = isogonal conjugate of X(1807)
X(1870) = cevapoint of X(I) and X(J) for these (I,J): (1,1718), (1464,1835)

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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