ETC

X(65377) = CENTER OF HATZIPOLAKIS-MOSES-MORLEY HYPERBOLA

Barycentrics    (Cos[B]*Cos[C/3] - Cos[B/3]*Cos[C])*(Cos[A/3]*(Cot[B] - Cot[C]) + Cos[C/3]*Csc[B] - Cos[B/3]*Csc[C]) : :

See Antreas Hatzipolakis and Peter Moses, euclid 6982.

X(65377) lies on the nine-point circle and these lines: { }

---

X(65378) = PERSPECTOR OF HATZIPOLAKIS-MOSES-MORLEY HYPERBOLA

Barycentrics    Cos[B/3]*Cot[C]*Csc[B] - Cos[C/3]*Cot[B]*Csc[C] : :

See Antreas Hatzipolakis and Peter Moses, euclid 6982.

X(65378) lies on this line: {230, 231}

X(65378) = crossdifference of every pair of points on line {3, 358}

---

X(65379) = X(357)X(1136)∩X(10632)X(16871)

Barycentrics    Sin[(2*(A - Pi)/3]*Tan[A] : :

See Antreas Hatzipolakis and Peter Moses, euclid 6982.

X(65379) lies on Hatzipolakis-Moses-Morley hyperbola and these lines: {357, 1136}, {10632, 16871}

X(65379) = isogonal conjugate of X(16840)
X(65379) = polar conjugate of the isotomic conjugate of X(7309)
X(65379) = barycentric product X(4)*X(7309)
X(65379) = barycentric quotient X(i)/X(j) for these {i,j}: {6, 16840}, {7309, 69}

---