X3790

X3662com[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) { 8, 9 }: Central Line L(8, 9) { 10, 192 }: Central Line L(10, 192) { 11, 312 }: Central Line L(11, 312) { 1278, 1738 }: Central Line L(1278, 1738) { 190, 3416 }: Central Line L(190, 3416) { 341, 3704 }: Central Line L(341, 3704) 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_10 = SPIEKER CENTER (0.5204, 0.1833) X_192 = -CEVA CONJUGATE OF X(2) (CONGRUENT PARALLELIANS POINT) (0.6147, 0.2635) X_11 = FEUERBACH POINT (0.7347, 0.0667) X_312 = ISOTOMIC CONJUGATE OF X(57) (0.4256, 0.1081) X_1278 = CONGRUENT MIDWAY-PARALLELIANS POINT (0.3828, 0.0729) X_1738 = MIMOSA TRANSFORM OF X(105) (1.2925, 0.7221) X_190 = YFF PARABOLIC POINT (0.0748, 0.3999) X_3416 = ISOGONAL CONJUGATE OF X(3415) (0.4408, 0.0994) X_341 = ISOTOMIC CONJUGATE OF X(269) (0.3509, 0.0650) X_3704 = com(EXTOUCH TRIANGLE) (0.4421, 0.1132) X_3790 = com[INVERSE(nT(bc, c2))] (0.4311, 0.1074) A B C X8 X9 X10 X192 X11 X312 X1278 X1738 X190 X3416 X341 X3704 X3790 (a, b, c) = (5, 6, 7) | AB = 1

X3790 (X3662com[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 \(f(a,b,c) = (b + c - a)(b^{2} + c^{2} + bc)\)
Search Value (6, 9, 13): \(5.121512676745\)
▸ Incident Central Lines11 lines

{8, 9}, {10, 192}, {11, 312}, {190, 3416}, {341, 3704}, {495, 3695}, {726, 3662}, {984, 3661}, {1278, 1738}, {3596, 3701}, {3681, 3690}