## X(1821) (ISOGONAL CONJUGATE OF MIMOSA TRANSFORM OF X(287))

 Interactive Applet

You can move the points A, B and C (click on the point and drag it).
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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) = 1/[- (cos A)/x + (cos B)/y + (cos C)/z],    x : y : z = X(287)
Barycentrics    af(a,b,c) : bf(b,c,a) : cf(c,a,b)

X(1821) lies on these lines:
19,823    31,92    48,75    63,561    71,190    98,100    287,651    653,1400    1580,1733    1760,1820

X(1821) = isogonal conjugate of X(1755)
X(1821) = isotomic conjugate of X(1959)
X(1821) = cevapoint of X(I) and X(J) for these (I,J): (1,1755), (9,740), (75,1966), (293,1910)
X(1821) = crosspoint of X(1581) and X(1956)
X(1821) = crosssum of X(1580) and X(1955)
X(1821) = X(I)-aleph conjugate of X(J) for these (I,J): (98,1740), (290,73), (1821,1)

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