X(78) = ISOGONAL CONJUGATE OF X(34)

Trilinears

\(1/(1 - sec A) : 1/(1 - sec B) : 1/(1 - sec C)\)

\(cos A csc2(A/2) : :\)

\((b + c - a)(b2 + c2 - a2) : :\)

\(SA(SA + bc) : :\)

\((b + c - a) cot A : :\)

\(cot A cot(A/2) : :\)

Barycentrics

\(a/(1 - sec A) : b/(1 - sec B) : c/(1 - sec C) If you have The Geometer's Sketchpad, you can view :ref:`X(78) <X(78)>\).`

Notes

If you have The Geometer’s Sketchpad, you can view X(78).

X(78) lies on these lines: 1,2 3,63 4,908 9,21 20,329 29,33 37,965 38,988 40,100 46,758 55,960 56,480 57,404 69,73 101,205 207,653 210,958 212,283 220,949 226,377 271,394 273,322 280,282 345,1040 392,1057 474,942 517,945 644,728 999,1059

X(78) = isogonal conjugate of X(34)

X(78) = isotomic conjugate of X(273)

X(78) = X(i)-Ceva conjugate of X(j) for these (i,j): (69,63), (312,9), (332,345)

X(78) = X(i)-cross conjugate of X(j) for these (i,j): (3,271), (72,8), (212,9), (219,63)

X(78) = crosspoint of X(69) and X(345)

X(78) = crosssum of X(i) and X(j) for these (i,j): (25,608), (56,1406), (604,1395), (1042,1426)

X(78) = X(i)-beth conjugate of X(j) for these (i,j): (78,3), (643,40), (1043,1)

X(78) = trilinear pole of line X(521)X(652)

X(78) = {X(1),:ref:X(8) <X(8)>}-harmonic conjugate of X(3872)

X(78) = {X(2),:ref:X(145) <X(145)>}-harmonic conjugate of X(938)

X(78) = X(92)-isoconjugate of X(604)

X(78) = homothetic center of anticomplementary triangle and tangential triangle of the hexyl triangle

X(78) = perspector of ABC and extraversion triangle of X(77)