ETC

X(73195) = PASCAL'S LINES CONCURRENCY IN ROUSSEL'S HEXAGON

Barycentrics    Sin[A]*(Cos[A]*Sin[(4*(B - C))/3] - 2*Sin[B - C]*(Sin[A/3]*Sin[A] + Sin[B/3]*Sin[B] + Sin[C/3]*Sin[C]) - 2*(2*Cos[A]^2 - 4*(Cos[A/3]*Cos[B/3]*Cos[C/3] - Cos[(2*A + Pi)/3]*Cos[(2*B + Pi)/3]*Cos[(2*C + Pi)/3]))*Sin[(2*(B - C))/3]*Sin[A - Pi/6] + Sin[(B - C)/3]*(4*(Cos[A/3]*Cos[B/3]*Cos[C/3] - Cos[(2*A + Pi)/3]*Cos[(2*B + Pi)/3]*Cos[(2*C + Pi)/3]) - 2*Cos[A]*Sin[A + Pi/6])) : :

Peter Moses, euclid 10482.

X(73195) lies on these lines: { }

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X(73196) = BRIANCHON'S POINT OF THE TANGENTIAL HEXAGON OF ROUSSEL'S HEXAGON

Barycentrics    Sin[A]*(Cos[A]*(-4 + Cos[(2*A)/3] + Cos[(2*B)/3] + Cos[(2*C)/3] + Cos[(2*A - Pi)/3] + Cos[(2*B - Pi)/3] + Cos[(2*C - Pi)/3]) - 4*Sin[(B - C)/3]^2*(Cos[(B - C)/3] + Sin[A - Pi/6]) + 2*Sin[A + Pi/6]) : :

Peter Moses, euclid 10487.

X(73196) lies on these lines: {3, 8010}, {3604, 66183}

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