ETC

X(65593) = (name pending)

Barycentrics    (3*a^6 - 7*a^4*b^2 - 7*a^2*b^4 + 3*b^6 - 3*a^4*c^2 - 4*a^2*b^2*c^2 - 3*b^4*c^2 - 5*a^2*c^4 - 5*b^2*c^4 + c^6)*(3*a^6 - 3*a^4*b^2 - 5*a^2*b^4 + b^6 - 7*a^4*c^2 - 4*a^2*b^2*c^2 - 5*b^4*c^2 - 7*a^2*c^4 - 3*b^2*c^4 + 3*c^6) : :

See Peter Moses, euclid 7034.

X(65593) lies on these lines: { }

X(65593) = perspector of the Steiner inellipse of the circumedial triangle

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X(65594) = X(2)X(20382)∩X(115)X(3849)

Barycentrics    4*a^14 - 13*a^12*b^2 + 21*a^10*b^4 + 8*a^8*b^6 - 20*a^6*b^8 + 3*a^4*b^10 - 5*a^2*b^12 + 2*b^14 - 13*a^12*c^2 - 6*a^8*b^4*c^2 + 4*a^6*b^6*c^2 + 21*a^2*b^10*c^2 - 10*b^12*c^2 + 21*a^10*c^4 - 6*a^8*b^2*c^4 - 24*a^6*b^4*c^4 + 12*a^4*b^6*c^4 - 6*a^2*b^8*c^4 + 12*b^10*c^4 + 8*a^8*c^6 + 4*a^6*b^2*c^6 + 12*a^4*b^4*c^6 - 10*a^2*b^6*c^6 - 8*b^8*c^6 - 20*a^6*c^8 - 6*a^2*b^4*c^8 - 8*b^6*c^8 + 3*a^4*c^10 + 21*a^2*b^2*c^10 + 12*b^4*c^10 - 5*a^2*c^12 - 10*b^2*c^12 + 2*c^14 : :
X(65594) = 3 X[9829] - X[9831]

See Peter Moses, euclid 7034.

X(65594) lies on the Steiner inellipse of the circumedial triangle and these lines: {2, 20382}, {115, 3849}, {5939, 32424}, {5976, 8704}, {6031, 14731}, {9080, 9829}, {12505, 13241}

X(65594) = midpoint of X(12505) and X(13241)

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X(65595) = X(2)X(34227)∩X(69)X(5648)

Barycentrics    4*a^10 - 9*a^8*b^2 + 5*a^6*b^4 + 7*a^4*b^6 - 9*a^2*b^8 + 2*b^10 - 9*a^8*c^2 - 8*a^6*b^2*c^2 + 6*a^4*b^4*c^2 + 9*a^2*b^6*c^2 - 2*b^8*c^2 + 5*a^6*c^4 + 6*a^4*b^2*c^4 - 6*a^2*b^4*c^4 - 4*b^6*c^4 + 7*a^4*c^6 + 9*a^2*b^2*c^6 - 4*b^4*c^6 - 9*a^2*c^8 - 2*b^2*c^8 + 2*c^10 : :

See Peter Moses, euclid 7034.

X(65595) lies on the Steiner inellipse of the circumedial triangle and these lines: {2, 34227}, {69, 5648}, {76, 31744}, {99, 32424}, {183, 6322}, {325, 2482}, {1975, 12505}, {5976, 8704}, {6232, 51580}, {7664, 9123}, {7750, 31729}, {7769, 32156}, {7788, 47075}, {10162, 37647}, {10163, 10418}, {11594, 16320}, {14653, 14907}, {14866, 32819}, {31606, 59635}, {37671, 47074}

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X(65596) = X(2)X(67)∩X(115)X(3849)

Barycentrics    20*a^10 - 17*a^8*b^2 - 7*a^6*b^4 + 11*a^4*b^6 - 17*a^2*b^8 + 2*b^10 - 17*a^8*c^2 + 4*a^6*b^2*c^2 + 6*a^4*b^4*c^2 + 13*a^2*b^6*c^2 - 26*b^8*c^2 - 7*a^6*c^4 + 6*a^4*b^2*c^4 + 6*a^2*b^4*c^4 + 20*b^6*c^4 + 11*a^4*c^6 + 13*a^2*b^2*c^6 + 20*b^4*c^6 - 17*a^2*c^8 - 26*b^2*c^8 + 2*c^10 : :

See Peter Moses, euclid 7034.

X(65596) lies on the Steiner inellipse of the circumedial triangle and these lines: {2, 67}, {98, 32424}, {115, 3849}, {183, 6322}, {6031, 63029}, {7792, 10162}

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X(65597) = X(2)X(353)∩X(183)X(1494)

Barycentrics    4*a^8 - a^6*b^2 - 3*a^4*b^4 - 2*a^2*b^6 + 2*b^8 - a^6*c^2 + 3*a^2*b^4*c^2 - b^6*c^2 - 3*a^4*c^4 + 3*a^2*b^2*c^4 - 2*a^2*c^6 - b^2*c^6 + 2*c^8 : :

See Peter Moses, euclid 7034.

X(65597) lies on the Steiner inellipse of the circumedial triangle and these lines: {2, 353}, {183, 1494}, {316, 51430}, {325, 5642}, {1649, 3268}, {5989, 30786}, {7792, 10418}, {7868, 35279}, {9100, 11628}, {17416, 61064}, {22329, 23992}, {30516, 63101}, {37688, 47200}, {38650, 50550}, {40884, 51389}

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X(65598) = (name pending)

Barycentrics    i*(b^2 - c^2)*(a^2 + b^2 + c^2)*(a^4 + 5*a^2*b^2 - 2*b^4 + 5*a^2*c^2 + 2*b^2*c^2 - 2*c^4) + 2*(8*a^6 - 3*a^4*b^2 - 9*a^2*b^4 + 2*b^6 - 3*a^4*c^2 - 3*a^2*b^2*c^2 - 6*b^4*c^2 - 9*a^2*c^4 - 6*b^2*c^4 + 2*c^6)*S : :

See Peter Moses, euclid 7034.

X(65598) lies on this line: {4108, 8704}

X(65598) = 1st imaginary focus of the Steiner inellipse of the circumedial triangle

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X(65599) = (name pending)

Barycentrics    i*(b^2 - c^2)*(a^2 + b^2 + c^2)*(a^4 + 5*a^2*b^2 - 2*b^4 + 5*a^2*c^2 + 2*b^2*c^2 - 2*c^4) - 2*(8*a^6 - 3*a^4*b^2 - 9*a^2*b^4 + 2*b^6 - 3*a^4*c^2 - 3*a^2*b^2*c^2 - 6*b^4*c^2 - 9*a^2*c^4 - 6*b^2*c^4 + 2*c^6)*S : :

See Peter Moses, euclid 7034.

X(65599) lies on this line: {4108, 8704}

X(65599) = 2nd imaginary focus of the Steiner inellipse of the circumedial triangle

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