X2319

X2-ISOCONJUGATE OF X1403

X2319 = isogonal conjugate of X1423
< 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) { 6, 43 }: Central Line L(6, 43) { 57, 239 }: Central Line L(57, 239) { 1, 893 }: Central Line L(1, 893) { 385, 1423 }: Central Line L(385, 1423) { 55, 2053 }: Central Line L(55, 2053) { 869, 2258 }: Central Line L(869, 2258) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1423 = -BETH CONJUGATE OF X(192) (0.6537, 0.3692) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_43 = -CEVA CONJUGATE OF X(1) (0.6358, 0.2963) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_239 = -LINE CONJUGATE OF X(42) (4.2109, 3.7992) X_1 = INCENTER (0.5714, 0.2333) X_893 = -CROSS CONJUGATE OF X(292) (0.5910, 0.2480) X_385 = -HIRST INVERSE OF X(6) (2.2863, 2.0795) X_55 = INSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.5490, 0.1921) X_2053 = -ISOCONJUGATE OF X(1423) (0.4486, 0.1337) X_869 = INTERSECTION OF LINES X(1)X(2) AND X(31)X(32) (0.6039, 0.2651) X_2258 = -ISOCONJUGATE OF X(940) (0.5966, 0.2593) X_2319 = -ISOCONJUGATE OF X(1403) (0.4044, 0.1080) A B C X1423 X6 X43 X57 X239 X1 X893 X385 X55 X2053 X869 X2258 X2319 (a, b, c) = (5, 6, 7) | AB = 1

X2319 (X2-ISOCONJUGATE OF X1403) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where \(f(a,b,c) = (b + c - a)/(ab + ac - bc)\)
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(6.684712788872\)
▸ Incident Central Lines7 lines

{1, 893}, {6, 43}, {55, 2053}, {57, 239}, {385, 1423}, {869, 2258}, {932, 2291}

▸ Functional Relations5 relations