X(29) = CEVAPOINT OF INCENTER AND ORTHOCENTER¶

Trilinears

$(sec A)/(cos B + cos C) : (sec B)/(cos C + cos A) : (sec C)/(cos A + cos B)$

Barycentrics

$(tan A)/(cos B + cos C) : (tan B)/(cos C + cos A) : (tan C)/(cos A + cos B)$

$(a - b - c)/((b + c) (a^2 - b^2 - c^2)) : : As a point on the Euler line, :ref:`X(29) <X(29)>$ has Shinagawa coefficients (F*S2, $bcSBSC$ - F*S2). If you have The Geometer’s Sketchpad, you can view X(29).`

Notes

As a point on the Euler line, X(29) has Shinagawa coefficients (F*S2, $bcSBSC$ - F*S2).

If you have The Geometer’s Sketchpad, you can view X(29). If you have GeoGebra, you can view X(29) and X(29) cevapoint..

X(29) lies on these lines: 1,92 2,3 8,219 10,1794 33,78 34,77 58,162 65,296 81,189 102,107 112,1311 226,951 242,257 270,283 284,950 314,1039 388,1037 392,1871 497,1036 515,947 648,1121 662,1800 758,1844 894,1868 960,1859 1056,1059 1057,1058 1125,1838 1220,1474 1737,1780 1807,1897 1842,1848

X(29) is the {X(3),:ref:X(4) <X(4)>}-harmonic conjugate of X(412). For a list of other harmonic conjugates of X(29), click Tables at the top of this page.

X(29) = isogonal conjugate of X(73)

X(29) = isotomic conjugate of X(307)

X(29) = inverse-in-circumcircle of X(2075)

X(29) = complement of X(3152)

X(29) = anticomplement of X(18641)

X(29) = X(286)-Ceva conjugate of X(27)

X(29) = cevapoint of X(i) and X(j) for these (i,j): (1,4), (33,281)

X(29) = X(i)-cross conjugate of X(j) for these (i,j): (1,21), (284,333), (497,314)

X(29) = crosssum of X(i) and X(j) for these (i,j): (1,1047), (228,1409)

X(29) = crossdifference of every pair of points on line X(647)X(822)

X(29) = X(4)-Hirst inverse of X(415)

X(29) = X(i)-beth conjugate of X(j) for these (i,j): (29,28), (811,29)