X(71) = ISOGONAL CONJUGATE OF X(27)

Trilinears

\((b + c) cos A : (c + a) cos B : (a + b) cos C\)

Barycentrics

\((b + c) sin 2A : (c + a) sin 2B : (a + b) sin 2C :ref:`X(71) <X(71)>\) lies on these lines: 1,579 3,48 4,9 6,31 35,284 37,65 54,572 63,69 64,198 74,101 165,610 190,290 583,1100 X(71) is the intersection of the isotomic conjugate of the polar conjugate of the Nagel line (i.e., line X(63)X(69)), and the polar conjugate of the isotomic conjugate of the Nagel line (i.e., line X(4)X(9)). (Randy Hutson, July 11, 2019) X(71) is the {X(9),:ref:X(40) <X(40)>}-harmonic conjugate of X(19). For a list of other harmonic conjugates of X(71), click Tables at the top of this page. X(71) = isogonal conjugate of X(27) <X(27)>`

Notes

X(71) lies on these lines: 1,579 3,48 4,9 6,31 35,284 37,65 54,572 63,69 64,198 74,101 165,610 190,290 583,1100

X(71) is the intersection of the isotomic conjugate of the polar conjugate of the Nagel line (i.e., line X(63)X(69)), and the polar conjugate of the isotomic conjugate of the Nagel line (i.e., line X(4)X(9)). (Randy Hutson, July 11, 2019)

X(71) is the {X(9),:ref:X(40) <X(40)>}-harmonic conjugate of X(19). For a list of other harmonic conjugates of X(71), click Tables at the top of this page.

X(71) = isogonal conjugate of X(27)

X(71) = anticomplement of X(34830)

X(71) = X(i)-Ceva conjugate of X(j) for these (i,j): (3,228), (9, 37), (10,42), (63,72)

X(71) = X(228)-cross conjugate of X(73)

X(71) = crosspoint of X(i) and X(j) for these (i,j): (3,63), (9,219), (10,306)

X(71) = crosssum of X(i) and X(j) for these (i,j): (1,579), (4,19), (28,1127), (57,278), (58,1474)

X(71) = crossdifference of every pair of points on line X(242)X(514)

X(71) = X(4)-line conjugate of X(242)

X(71) = X(i)-beth conjugate of X(j) for these (i,j): (219,71), (1018,71)

X(71) = trilinear pole of line X(647)X(810)

X(71) = X(92)-isoconjugate of X(58)

X(71) = barycentric product of Jerabek hyperbola intercepts of Nagel line

X(71) = polar conjugate of isotomic conjugate of X(3682)

X(71) = antigonal conjugate of X(38535)

X(71) = X(63)-isoconjugate of X(8747)