X3789

X3679com[INVERSE(nT(bc, c²))]

< 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) { 2, 210 }: Central Line L(2, 210) { 120, 141 }: Central Line L(120, 141) { 8, 350 }: Central Line L(8, 350) { 9, 1282 }: Central Line L(9, 1282) { 1, 1573 }: Central Line L(1, 1573) { 10, 2140 }: Central Line L(10, 2140) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2 = CENTROID (0.5374, 0.2000) X_210 = -CEVA CONJUGATE OF X(37) (0.4925, 0.1466) X_120 = -OF-MEDIAL-TRIANGLE (0.3204, 0.3466) X_141 = COMPLEMENT OF SYMMEDIAN POINT (0.5061, 0.1663) X_8 = NAGEL POINT (0.4694, 0.1333) X_350 = -HIRST INVERSE OF X(75) (-3.5227, -3.1370) X_9 = MITTENPUNKT (0.5110, 0.1615) X_1282 = 5th SHARYGIN POINT (-0.1429, 0.8165) X_1 = INCENTER (0.5714, 0.2333) X_1573 = INSIMILICENTER OF SPIEKER AND MOSES CIRCLES (0.5399, 0.1993) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_2140 = EIGENTRANSFORM OF X(101) (0.5606, 0.2423) X_3789 = com[INVERSE(nT(bc, c2))] (0.5078, 0.1647) A B C X2 X210 X120 X141 X8 X350 X9 X1282 X1 X1573 X10 X2140 X3789 (a, b, c) = (5, 6, 7) | AB = 1

X3789 (X3679com[INVERSE(nT(bc, c²))]) 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 \(f(a,b,c) = a(a^{2} - ab - ac - 2bc)(b^{2} + c^{2} + bc)\)
Search Value (6, 9, 13): \(3.471599233149\)
▸ Incident Central Lines11 lines

{1, 1573}, {2, 210}, {8, 350}, {9, 1282}, {10, 2140}, {120, 141}, {984, 2276}, {1001, 2280}, {1211, 2886}, {1654, 3056}, {3452, 3741}