X3797

X2com[INVERSE(nT(bc, b²))]

< 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, 37 }: Central Line L(2, 37) { 238, 239 }: Central Line L(238, 239) { 194, 304 }: Central Line L(194, 304) { 190, 742 }: Central Line L(190, 742) { 335, 726 }: Central Line L(335, 726) { 518, 2113 }: Central Line L(518, 2113) 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_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_238 = -LINE CONJUGATE OF X(37) (1.6190, 1.4775) X_239 = -LINE CONJUGATE OF X(42) (4.2109, 3.7992) X_194 = -CEVA CONJUGATE OF X(2) (0.6989, 0.3222) X_304 = ISOTOMIC CONJUGATE OF X(19) (0.3683, 0.0513) X_190 = YFF PARABOLIC POINT (0.0748, 0.3999) X_742 = EVEN (- 1, 2) INFINITY POINT (0.1179, -0.2104) X_335 = ISOTOMIC CONJUGATE OF X(239) (1.0387, 0.0318) X_726 = EVEN (- 2, -1) INFINITY POINT (1.0187, 0.5358) X_518 = ISOGONAL CONJUGATE OF X(105) (0.9154, 0.6489) X_2113 = -ISOCONJUGATE OF X(2112) (-0.3440, 0.6801) X_3797 = com[INVERSE(nT(bc, b2))] (-3.6373, -3.2311) A B C X2 X37 X238 X239 X194 X304 X190 X742 X335 X726 X518 X2113 X3797 (a, b, c) = (5, 6, 7) | AB = 1

X3797 (X2com[INVERSE(nT(bc, b²))]) 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 \(f(a,b,c) = (a^{2} - bc)(b^{2} + c^{2} + bc)\)
Search Value (6, 9, 13): \(25.452050177243\)
▸ Incident Central Lines8 lines

{2, 37}, {190, 742}, {194, 304}, {238, 239}, {335, 726}, {518, 2113}, {824, 3250}, {984, 3661}