## X(1743) (MIMOSA TRANSFORM OF X(222))

 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 , select the center name from the list and, then, click on the vertices A, B and C successively.

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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) = 3a - b - c       (M. Iliev, 5/13/07)
Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

X(1743) lies on these lines:
1,6    10,391    19,1783    31,200    36,198    41,572    43,165    48,1732    57,1122    58,936    71,380    101,604    169,1046    173,266    223,1708    239,1278    241,1419    258,259    269,651    282,1795    284,1778    294,1721    346,519    579,610    580,1490    966,1698    978,1400    999,1696    1249,1785    1750,1754

X(1743) = X(I)-Ceva conjugate of X(J) for these (I,J): (57,1), (1476,55)
X(1743) = crosspoint of X(I) and X(J) for these (I,J): (57,1420), (651,765)
X(1743) = crosssum of X(244) and X(650)
X(1743) = X(I)-aleph conjugate of X(J) for these (I,J): (1,165), (2,1766), (7,169), (57,1743), (81,572), (174,9), (259,170), (266,43), (365,1742), (366,40), (507,164), (508,63), (509,1), (513,1053), (651,101)

This is a joint work of
Humberto José Bortolossi, Lis Ingrid Roque Lopes Custódio and Suely Machado Meireles Dias.