X3882

X2486com[INVERSE(n(3rd EULER TRIANGLE))]

X3882 = anticomplement of X17197
< A B C >: Reference Triangle △ABC [ A B ]: Sideline AB (Base c = 1) [ B C ]: Sideline BC (Side a) [ C A ]: Sideline CA (Side b) { 100, 109 }: Central Line L(100, 109) { 69, 573 }: Central Line L(69, 573) { 193, 579 }: Central Line L(193, 579) { 163, 662 }: Central Line L(163, 662) { 190, 646 }: Central Line L(190, 646) { 40, 1330 }: Central Line L(40, 1330) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) X_109 = Ψ(INCENTER, CIRCUMCENTER) (0.3636, 0.5938) X_69 = SYMMEDIAN POINT OF THE ANTICOMPLEMENTARY TRIANGLE (0.4122, 0.0654) X_573 = ORTHOHARMONIC OF X(58) (0.4486, 0.0172) X_193 = -CEVA CONJUGATE OF X(2) (0.7878, 0.4690) X_579 = HARMONIC OF X(284) (0.7212, 0.4674) X_163 = TRILINEAR PRODUCT X(6)*X(110) (0.3174, 0.5883) X_662 = TRILINEAR POLE OF LINE X(1)X(21) (0.1811, 0.4951) X_190 = YFF PARABOLIC POINT (0.0748, 0.3999) X_646 = BARYCENTRIC MULTIPLIER FOR YFF PARABOLA (-0.0898, 0.2051) X_40 = BEVAN POINT (0.4286, -0.0292) X_1330 = ANTICOMPLEMENTARY CONJUGATE OF X(1) (0.3908, 0.0300) X_3882 = com[INVERSE(n(3rd EULER TRIANGLE))] (0.1201, 0.4534) A B C X100 X109 X69 X573 X193 X579 X163 X662 X190 X646 X40 X1330 X3882 (a, b, c) = (5, 6, 7) | AB = 1

X3882 (X2486com[INVERSE(n(3rd EULER TRIANGLE))]) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Barycentrics: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where \(f(a,b,c) = a(a - b)(a - c)(b^{2} + c^{2} + ab + ac)\)
Search Value (6, 9, 13): \(3.135387442277\)
▸ Incident Central Lines20 lines

{1, 3122}, {9, 1654}, {40, 1330}, {63, 2895}, {69, 573}, {100, 109}, {101, 1310}, {163, 662}, {190, 646}, {193, 579}, {524, 2245}, {583, 3629}, {645, 3570}, {664, 1020}, {740, 1756}, {1423, 3169}, {1655, 3208}, {1763, 3719}, {1792, 3430}, {2897, 3692}

▸ Functional Relations1 relation

  • X3882 = anticomplement of X17197