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

X(238)
(X(1)-LINE CONJUGATE OF X(37))


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           a2 - bc : b2 - ca : c2 - ab
Barycentrics    a3 - abc : b3 - abc : c3 - abc

X(238) lies on these lines:
1,6    2,31    3,978    4,602    7,1471    8,983    10,82    21,256    36,513    40,1722    42,1621    43,55    47,499    56,87    57,1707    58,86    63,614    71,1244    100,899    105,291    106,898    162,415    190,726    212,497    239,740    241,1456    242,419    244,896    390,1253    459,1395    484,1739    516,673    517,1052    519,765    580,946    601,631    651,1458    662,1326    942,1046    987,1472    992,1009    993,995    1006,1064    1040,1711    1054,1155    1284,1428    1465,1758    1479,1714    1699,1754

X(238) = midpoint of X(1) and X(1279)
X(238) = reflection of X(1) in X(1297)
X(238) = isogonal conjugate of X(291)
X(238) = isotomic conjugate of X(334)
X(238) = X(I)-Ceva conjugate of X(J) for these (I,J): (105,1), (292,171)
X(238) = crosssum of X(I) and X(J) for these (I,J): (10,726), (42,672), (239,894)
X(238) = crossdifference of any two points on line X(37)X(513)
X(238) = X(I)-Hirst inverse of X(J) for these (I,J): (1,6), (43,55)
X(238) = X(1)-line conjugate of X(37)
X(238) = X(105)-aleph conjugate of X(238)
X(238) = X(I)-beth conjugate of X(J) for these (I,J): (21,238), (643,902), (644,238), (932,238)


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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