X3985

X3290com[INVERSE(n(INCENTRAL 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) { 9, 312 }: Central Line L(9, 312) { 37, 714 }: Central Line L(37, 714) { 522, 650 }: Central Line L(522, 650) { 210, 2321 }: Central Line L(210, 2321) { 740, 2238 }: Central Line L(740, 2238) { 341, 3208 }: Central Line L(341, 3208) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_9 = MITTENPUNKT (0.5110, 0.1615) X_312 = ISOTOMIC CONJUGATE OF X(57) (0.4256, 0.1081) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_714 = EVEN (- 3, - 1) INFINITY POINT (1.0302, 0.5186) X_522 = ISOGONAL CONJUGATE OF X(109) (-0.0318, 0.3430) X_650 = CROSSDIFFERENCE OF X(1) AND X(3) (13.7143, -4.1991) X_210 = -CEVA CONJUGATE OF X(37) (0.4925, 0.1466) X_2321 = -ISOCONJUGATE OF X(1408) (0.4497, 0.1200) X_740 = EVEN (- 1, 1) INFINITY POINT (0.9745, 0.5915) X_2238 = -ISOCONJUGATE OF X(741) (2.2505, 2.0410) X_341 = ISOTOMIC CONJUGATE OF X(269) (0.3509, 0.0650) X_3208 = -CEVA CONJUGATE OF X(9) (0.5991, 0.2213) X_3985 = com[INVERSE(n(INCENTRAL TRIANGLE))] (-0.6789, -0.5831) A B C X9 X312 X37 X714 X522 X650 X210 X2321 X740 X2238 X341 X3208 X3985 (a, b, c) = (5, 6, 7) | AB = 1

X3985 (X3290com[INVERSE(n(INCENTRAL 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 \(f(a,b,c) = (b + c)(b + c - a) (bc - a^{2})\)
Search Value (6, 9, 13): \(9.182822514875\)
▸ Incident Central Lines14 lines

{9, 312}, {37, 714}, {190, 3509}, {210, 2321}, {341, 3208}, {522, 650}, {537, 3726}, {726, 3290}, {740, 2238}, {1089, 3294}, {1334, 3701}, {3684, 3685}, {3686, 3706}, {3691, 3702}