X2259

X2-ISOCONJUGATE OF X942

X2259 = X661-cross conjugate of X101
< 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) { 19, 41 }: Central Line L(19, 41) { 48, 57 }: Central Line L(48, 57) { 35, 71 }: Central Line L(35, 71) { 306, 319 }: Central Line L(306, 319) { 55, 584 }: Central Line L(55, 584) { 9, 943 }: Central Line L(9, 943) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_19 = CLAWSON POINT (0.6246, 0.4244) X_41 = -CEVA CONJUGATE OF X(31) (0.5823, 0.2244) X_48 = CROSSPOINT OF X(1) AND X(63) (0.5412, 0.1246) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_35 = {X(1),X(3)}-HARMONIC CONJUGATE OF X(36) (0.5373, 0.1706) X_71 = ISOGONAL CONJUGATE OF X(27) (0.4807, 0.0915) X_306 = ISOTOMIC CONJUGATE OF X(27) (0.3924, 0.0579) X_319 = ISOTOMIC CONJUGATE OF X(79) (0.4549, 0.1161) X_55 = INSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.5490, 0.1921) X_584 = ORTHOHARMONIC OF X(500) (0.5720, 0.2209) X_9 = MITTENPUNKT (0.5110, 0.1615) X_943 = ISOGONAL CONJUGATE OF X(942) (0.5528, 0.2043) X_2259 = -ISOCONJUGATE OF X(942) (0.5851, 0.2374) A B C X19 X41 X48 X57 X35 X71 X306 X319 X55 X584 X9 X943 X2259 (a, b, c) = (5, 6, 7) | AB = 1

X2259 (X2-ISOCONJUGATE OF X942) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\), where f(a,b,c) is as in X942
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(1.477789845722\)
▸ Incident Central Lines14 lines

{6, 2197}, {9, 943}, {19, 41}, {35, 71}, {42, 2299}, {48, 57}, {55, 584}, {65, 2160}, {101, 2294}, {306, 319}, {572, 2364}, {1474, 2200}, {1826, 2332}, {2161, 2264}

▸ Functional Relations4 relations