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

X(1914)
(CROSSDIFFERENCE OF PU(10))


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           f(a,b,c) : f(b,c,a) : f(c,a,b), where f(a,b,c) = 1 - a2/(bc)
Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

X(1914) lies on these lines:
1,32    6,31    9,983    11,230    21,1107    35,39    36,187    37,82    44,765    48,1613    81,593    100,1575    105,910    112,1870    213,595    284,893    292,1438    350,385    577,1040    584,1185    604,1403    649,834    727,813    739,901    741,1326    999,1384    1055,1149    1319,1415    1428,1691

X(1914) = isogonal conjugate of X(335)
X(1914) = X(I)-Ceva conjugate of X(J) for these (I,J): (727,31), (1429,1428), (1438,6), (1911,172)
X(1914) = crosspoint of X(I) and X(J) for these (I,J): (81,105), (238,1429), (239,242), (904,1911), (919,1252)
X(1914) = crosssum of X(I) and X(J) for these (I,J): (37,518), (292,295), (350,1909), (918,1086)

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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