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

X(1993)
(ORTHOCORRESPONDENT OF X(3))


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           csc A cos 2A : csc B cos 2B : csc C cos 2C
Barycentrics    cos 2A : cos 2B : cos 2C

X(1993) lies on these lines:
2,6    3,54    4,155    20,1181    22,184    23,154    24,52    25,110    26,49    51,576    63,2003    68,1594    194,401    264,275    278,651    283,581    317,467    371,1599    372,1600    389,1092    399,1539    458,1235    493,588    494,589    569,1216    573,1790    631,1199    858,1899    1196,1570    1353,1368

X(1993) = reflection of X(22) in X(184)
X(1993) = isogonal conjugate of X(2165)
X(1993) = anticomplement of X(343)
X(1993) = X(I)-Ceva conjugate of X(J) for these (I,J): (264,3), (275,2), (317,24), (1585,1599), (1586,1600)
X(1993) = cevapoint of X(I) and X(J) for these (I,J): (6,155), (571,1147)
X(1993) = crosspoint of X(I) and X(J) for these (I,J): (249,648), (1585,1586)
X(1993) = crosssum of X(115) and X(647)

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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