## X(1172) (1ST SARAGOSSA POINT OF X(48))

 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) (see note above X(1166))

X(1172) lies on these lines:
1,19    4,6    7,27    8,29    9,33    21,270    25,941    37,943    58,84    104,112    162,1156    186,1030    286,648    406,966

X(1172) = isogonal conjugate of X(1214)
X(1172) = isotomic conjugate of X(1231)
X(1172) = X(27)-Ceva conjugate of X(28)
X(1172) = cevapoint of X(6) and X(19)
X(1172) = X(I)-cross conjugate of X(J) for these (I,J): (6,284), (33,29)
X(1172) = crosspoint of X(I) and X(J) for these (I,J): (27,29), (81,285)
X(1172) = crosssum of X(I) and X(J) for these (I,J): (37,227), (71,73)
X(1172) = crossdifference of any two points on line X(520)X(656)

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