X3888

X1086com[INVERSE(n(3rd EULER TRIANGLE))]

< 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) { 190, 513 }: Central Line L(190, 513) { 99, 815 }: Central Line L(99, 815) { 110, 833 }: Central Line L(110, 833) { 320, 674 }: Central Line L(320, 674) { 295, 1281 }: Central Line L(295, 1281) 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_190 = YFF PARABOLIC POINT (0.0748, 0.3999) X_513 = ISOGONAL CONJUGATE OF X(100) (1.0529, -0.0806) X_99 = STEINER POINT (0.1109, 0.4322) X_815 = o-(- 1, 2) CIRCUMCIRCLE POINT (0.6308, 0.5953) X_110 = FOCUS OF KIEPERT PARABOLA (0.2516, 0.5478) X_833 = o-(1, 4) CIRCUMCIRCLE POINT (0.1829, 0.5019) X_320 = ISOTOMIC CONJUGATE OF X(80) (-2.6735, -3.5993) X_674 = CROSSDIFFERENCE OF X(6) AND X(514) (0.2078, -0.2856) X_295 = ISOGONAL CONJUGATE OF X(242) (1.0582, 0.0142) X_1281 = 3rd SHARYGIN POINT (0.3110, 0.3100) X_3888 = com[INVERSE(n(3rd EULER TRIANGLE))] (0.0503, 0.4132) A B C X100 X109 X190 X513 X99 X815 X110 X833 X320 X674 X295 X1281 X3888 (a, b, c) = (5, 6, 7) | AB = 1

X3888 (X1086com[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 \(f(a,b,c) = a(a - b)(a - c)(b^{2} + c^{2} - bc)\)
Search Value (6, 9, 13): \(5.089277226210\)
▸ Incident Central Lines17 lines

{1, 3123}, {2, 3271}, {8, 2810}, {69, 2876}, {99, 815}, {100, 109}, {110, 833}, {190, 513}, {295, 1281}, {320, 674}, {662, 1492}, {789, 805}, {883, 926}, {1227, 2877}, {1332, 1633}, {2227, 3510}, {3056, 3662}