X3793

X625com[INVERSE(nT(a², a² - 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) { 32, 141 }: Central Line L(32, 141) { 30, 148 }: Central Line L(30, 148) { 3, 193 }: Central Line L(3, 193) { 187, 524 }: Central Line L(187, 524) { 194, 548 }: Central Line L(194, 548) { 230, 625 }: Central Line L(230, 625) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_32 = 3rd POWER POINT (0.6400, 0.3332) X_141 = COMPLEMENT OF SYMMEDIAN POINT (0.5061, 0.1663) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_148 = STEINER POINT OF ANTICOMPLEMENTARY TRIANGLE (1.3904, -0.2646) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_193 = -CEVA CONJUGATE OF X(2) (0.7878, 0.4690) X_187 = INVERSE-IN-CIRCUMCIRCLE OF X(6) (SCHOUTE CENTER) (1.1986, 1.2559) X_524 = ISOGONAL CONJUGATE OF X(111) (0.1376, -0.2297) X_194 = -CEVA CONJUGATE OF X(2) (0.6989, 0.3222) X_548 = MIDPOINT OF X(5) AND X(20) (0.4719, 0.0286) X_230 = -CEVA CONJUGATE OF X(114) (0.9746, 0.6698) X_625 = MIDPOINT OF X(623) AND X(624) (0.2068, -0.3280) X_3793 = com[INVERSE(nT(a2, a2 - c2))] (2.5103, 2.6655) A B C X32 X141 X30 X148 X3 X193 X187 X524 X194 X548 X230 X625 X3793 (a, b, c) = (5, 6, 7) | AB = 1

X3793 (X625com[INVERSE(nT(a², a² - c²))]) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Barycentrics: \((3 a^{2}+b^{2}+c^{2}) \cdot (2 a^{2}-b^{2}-c^{2}) : :\)
Search Value (6, 9, 13): \(-9.153283028583\)
▸ Incident Central Lines10 lines

{3, 193}, {30, 148}, {32, 141}, {69, 1384}, {187, 524}, {194, 548}, {230, 625}, {441, 3580}, {574, 3629}, {2080, 3564}