X3883

X3739com[INVERSE(n(4th 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) { 8, 9 }: Central Line L(8, 9) { 1, 69 }: Central Line L(1, 69) { 10, 82 }: Central Line L(10, 82) { 75, 516 }: Central Line L(75, 516) { 333, 643 }: Central Line L(333, 643) { 519, 751 }: Central Line L(519, 751) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_8 = NAGEL POINT (0.4694, 0.1333) X_9 = MITTENPUNKT (0.5110, 0.1615) X_1 = INCENTER (0.5714, 0.2333) X_69 = SYMMEDIAN POINT OF THE ANTICOMPLEMENTARY TRIANGLE (0.4122, 0.0654) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_82 = ISOGONAL CONJUGATE OF X(38) (0.5943, 0.2703) X_75 = ISOTOMIC CONJUGATE OF INCENTER (0.4988, 0.1682) X_516 = ISOGONAL CONJUGATE OF X(103) (0.7703, 0.7386) X_333 = CEVAPOINT OF X(8) AND X(9) (0.4886, 0.1475) X_643 = TRILINEAR MULTIPLIER FOR KIEPERT PARABOLA (0.0142, 0.3704) X_519 = ISOGONAL CONJUGATE OF X(106) (0.9566, 0.6107) X_751 = ISOGONAL CONJUGATE OF X(750) (0.5754, 0.2311) X_3883 = com[INVERSE(n(4th EULER TRIANGLE))] (0.4896, 0.1470) A B C X8 X9 X1 X69 X10 X82 X75 X516 X333 X643 X519 X751 X3883 (a, b, c) = (5, 6, 7) | AB = 1

X3883 (X3739com[INVERSE(n(4th 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 \(f(a,b,c) = (b + c - a)(2a^{2} + b^{2} + c^{2} + ab + ac)\)
Search Value (6, 9, 13): \(4.109237286712\)
▸ Incident Central Lines19 lines

{1, 69}, {8, 9}, {10, 82}, {55, 3687}, {75, 516}, {141, 1279}, {226, 3757}, {239, 3755}, {306, 1621}, {333, 643}, {519, 751}, {528, 3696}, {960, 3688}, {1001, 3416}, {1211, 3744}, {1891, 2354}, {2975, 3220}, {3058, 3706}, {3683, 3703}