X(72843) = X(1)X(21)∩X(2)X(5396)
Barycentrics a*(a+b)*(a-b-c)*(a+c)*(a^2*b-b^3+a^2*c+a*b*c+b^2*c+b*c^2-c^3) : :Marian Cucoanes and Ercole Suppa, euclid 9953.
X(72843) lies on these lines: {1, 21}, {2, 5396}, {3, 41723}, {27, 18444}, {28, 37615}, {29, 1870}, {37, 57217}, {51, 6176}, {60, 40980}, {78, 64401}, {86, 664}, {110, 36011}, {284, 2170}, {314, 49492}, {333, 4511}, {386, 72223}, {405, 1993}, {442, 5453}, {500, 2475}, {515, 17167}, {517, 4184}, {581, 2476}, {644, 62707}, {851, 61699}, {859, 10246}, {942, 68716}, {952, 47515}, {991, 17579}, {997, 5235}, {1043, 3902}, {1064, 14009}, {1319, 18165}, {1325, 1790}, {1385, 4225}, {1393, 1816}, {1437, 11101}, {1464, 18625}, {1482, 17524}, {1800, 35195}, {1817, 18443}, {2099, 3286}, {2478, 5712}, {2646, 18178}, {3160, 17169}, {3559, 6198}, {3560, 11441}, {3720, 30981}, {3736, 49487}, {3753, 35983}, {3811, 66212}, {3822, 56419}, {3872, 4720}, {4193, 37693}, {4221, 61146}, {4267, 34471}, {4276, 37525}, {4278, 5903}, {4337, 20292}, {5333, 6505}, {5422, 6883}, {5495, 47032}, {5603, 14956}, {5706, 37285}, {5707, 20846}, {5886, 14008}, {5901, 37357}, {6127, 38062}, {6175, 61220}, {6261, 67852}, {6360, 8025}, {6910, 19767}, {7190, 58786}, {7269, 8822}, {7419, 15178}, {7489, 50461}, {7504, 37732}, {8021, 15934}, {9275, 68661}, {10441, 16452}, {10527, 51978}, {11281, 63295}, {11553, 14450}, {13384, 18163}, {13746, 28619}, {14005, 19860}, {14011, 59305}, {15680, 48903}, {16049, 64393}, {16374, 33852}, {16884, 46889}, {17011, 37265}, {17016, 37232}, {17188, 17586}, {17519, 54407}, {17549, 63982}, {17551, 64673}, {17557, 19861}, {18185, 71727}, {18391, 69847}, {18646, 49682}
X(72843) = X(70757)-cevapoint of X(70775)
X(72843) = intersection, other than A, B, C, of the circumconics: {{A,B,C,X(1),X(5902)}, {A,B,C,X(8),X(5248)}, {A,B,C,X(10),X(5496)}, {A,B,C,X(21),X(14616)}, {A,B,C,X(29),X(35193)}, {A,B,C,X(31),X(1411)}, {A,B,C,X(37),X(12081)}, {A,B,C,X(63),X(30690)}, {A,B,C,X(65),X(31880)}, {A,B,C,X(255),X(7100)}}
X(72843) = X(70757)-cevapoint of X(70775)
X(72843) = pole of the line {24006, 57099} with respect to polar circle
X(72843) = pole of the line {101, 3658} with respect to Hutson-Moses hyperbola
X(72843) = pole of the line {1, 2361} with respect to Stammler hyperbola
X(72843) = pole of the line {75, 4511} with respect to Wallace hyperbola
X(72843) = barycentric product X(i)*X(j) for these (i,j): {21, 31019}, {58, 70777}, {81, 70776}, {86, 70775}, {274, 70757}, {333, 5902}, {2185, 3822}
X(72843) = barycentric quotient X(i)/X(j) for these (i,j): {284, 15175}, {3822, 6358}, {5902, 226}, {31019, 1441}, {56419, 60091}, {70757, 37}, {70775, 10}, {70776, 321}, {70777, 313}
X(72843) = trilinear product X(i)*X(j) for these (i,j): {21, 5902}, {58, 70776}, {60, 3822}, {81, 70775}, {86, 70757}, {284, 31019}, {1333, 70777}
X(72843) = trilinear quotient X(i)/X(j) for these (i,j): {10, 70776}, {12, 3822}, {21, 15175}, {37, 70775}, {42, 70757}, {65, 5902}, {226, 31019}, {321, 70777}, {52383, 56419}
X(72843) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 191, 5496}, {1, 846, 12081}, {1, 1046, 31880}, {1, 54356, 21}, {1, 69846, 81}, {21, 3193, 35193}, {21, 64377, 3193}, {1385, 18180, 4225}
X(72844) = X(1)X(30)∩X(3)X(49)
Barycentrics (a^2*(a^2-b^2-c^2)*(a^5*b-a^4*b^2-2*a^3*b^3+2*a^2*b^4+a*b^5-b^6+a^5*c-a^3*b^2*c-a^2*b^3*c+b^5*c-a^4*c^2-a^3*b*c^2-4*a^2*b^2*c^2-a*b^3*c^2+b^4*c^2-2*a^3*c^3-a^2*b*c^3-a*b^2*c^3-2*b^3*c^3+2*a^2*c^4+b^2*c^4+a*c^5+b*c^5-c^6)) : :X(72844) = 3*X[500]-2*X[5495]
Marian Cucoanes and Ercole Suppa, euclid 9954.
X(72844) lies on these lines: {1, 30}, {3, 49}, {48, 15945}, {52, 7420}, {73, 34800}, {511, 11249}, {581, 4658}, {912, 56839}, {1154, 11012}, {3193, 3651}, {3561, 23070}, {3564, 37700}, {4303, 7004}, {4511, 48935}, {5396, 37530}, {5663, 6097}, {5713, 50317}, {5890, 16451}, {5891, 16287}, {5892, 16414}, {5901, 55340}, {6000, 10267}, {6003, 66968}, {6841, 54356}, {7416, 10575}, {9730, 16453}, {10170, 16286}, {10527, 48877}, {10680, 48907}, {11456, 37285}, {11459, 16452}, {12116, 48923}, {14915, 16202}, {16617, 17194}, {18446, 44665}, {18451, 37284}, {21740, 46483}, {24474, 48909}, {26332, 48931}, {26363, 48887}, {26470, 48937}, {30212, 68258}, {34465, 52265}, {35252, 48928}, {37401, 61220}, {37625, 47749}, {45231, 52407}, {48941, 64079}, {63318, 69846}
X(72844) = cross-difference of every pair of points on the line X(2501)X(9404
X(72844) = perspector of the circumconic through X(4558)and X(38340)
X(72844) = intersection, other than A, B, C, of the circumconics: {{A,B,C,X(3),X(52382)}, {A,B,C,X(79),X(283)}, {A,B,C,X(184),X(69470)}, {A,B,C,X(394),X(63171)}, {A,B,C,X(1069),X(56402)}, {A,B,C,X(1437),X(52372)}, {A,B,C,X(1464),X(22115)}, {A,B,C,X(1790),X(52374)}, {A,B,C,X(7100),X(68649)}, {A,B,C,X(40442),X(50148)}}
X(72844) = pole of the line {924, 48382} with respect to circumcircle
X(72844) = pole of the line {8818, 9722} with respect to Kiepert hyperbola
X(72844) = pole of the line {14985, 23181} with respect to Kiepert parabola
X(72844) = pole of the line {4, 35193} with respect to Stammler hyperbola
X(72844) = pole of the line {41800, 52584} with respect to Steiner inellipse
X(72844) = pole of the line {2970, 6741} with respect to dual conic of Wallace hyperbola
X(72844) = barycentric product X(63)*X(67946)
X(72844) = barycentric quotient X(67946)/X(92)
X(72844) = trilinear product X(3)*X(67946)
X(72844) = trilinear quotient X(4)/X(67946)
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