X3958

X2294com[INVERSE(n(EXTANGENTS 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) { 48, 63 }: Central Line L(48, 63) { 71, 72 }: Central Line L(71, 72) { 191, 284 }: Central Line L(191, 284) { 9, 758 }: Central Line L(9, 758) { 201, 1409 }: Central Line L(201, 1409) { 1, 1778 }: Central Line L(1, 1778) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_48 = CROSSPOINT OF X(1) AND X(63) (0.5412, 0.1246) X_63 = ISOGONAL CONJUGATE OF X(19) (0.4566, 0.0823) X_71 = ISOGONAL CONJUGATE OF X(27) (0.4807, 0.0915) X_72 = ISOGONAL CONJUGATE OF X(28) (0.4367, 0.0733) X_191 = -CEVA CONJUGATE OF X(1) (0.4859, 0.1209) X_284 = -CROSS CONJUGATE OF X(21) (0.5646, 0.2088) X_9 = MITTENPUNKT (0.5110, 0.1615) X_758 = EVEN (1, 3) INFINITY POINT (0.1821, -0.2671) X_201 = -CEVA CONJUGATE OF X(12) (0.4897, 0.1062) X_1409 = -BETH CONJUGATE OF X(71) (0.5848, 0.1701) X_1 = INCENTER (0.5714, 0.2333) X_1778 = MIMOSA TRANSFORM OF X(1171) (0.7708, 0.4831) X_3958 = com[INVERSE(n(EXTANGENTS TRIANGLE))] (0.4472, 0.0776) A B C X48 X63 X71 X72 X191 X284 X9 X758 X201 X1409 X1 X1778 X3958 (a, b, c) = (5, 6, 7) | AB = 1

X3958 (X2294com[INVERSE(n(EXTANGENTS 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 \(f(a,b,c) = a(b + c)(2a + b + c)(b^{2} + c^{2} - a^{2})\)
Search Value (6, 9, 13): \(5.699489771841\)
▸ Incident Central Lines18 lines

{1, 1778}, {6, 2292}, {9, 758}, {37, 2650}, {48, 63}, {71, 72}, {191, 284}, {201, 1409}, {219, 3157}, {896, 1333}, {960, 2260}, {1046, 2303}, {1100, 1962}, {1213, 3649}, {1449, 3743}, {1761, 2173}, {1839, 3686}, {1858, 2269}