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

X(2287)
(X(2)-ISOCONJUGATE OF X(1042))


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            a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b), where f(a,b,c) is as in X(1042)
Barycentrics    a2/f(a,b,c) : b2/f(b,c,a): c2/f(c,a,b)

X(2287) lies on these lines:
2,6    8,29    9,21    27,329    28,72    44,1333    58,936    63,610    71,100    145,2256    200,1253    210,2194    213,2298    218,1010    220,346    271,282    274,1170    294,314    307,651    319,1332    332,949    404,579    411,573    644,2321    662,911    758,1781    941,2271    960,1183    997,1723    1014,1445    1098,1792    1761,2173    1809,2193

X(2287) = isogonal conjugate of X(1427)
X(2287) = isotomic conjugate of X(1446)
X(2287) = X(I)-Ceva conjugate of X(J) for these I,J: 333,21    1098,2328
X(2287) = cevapoint of X(I) and X(J) for these I,J: 6,610    9,219    200,220
X(2287) = X(I)-cross conjugate of X(J) for these I,J: 9,2322    200,1043    219,2327    220,2328    2328,21
X(2287) = crosspoint of X(333) and X(1043)
X(2287) = crosssum of X(1042) and X(1400)

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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