X2318

X2-ISOCONJUGATE OF X1396

X2318 = X72-Ceva conjugate of X71
< 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) { 37, 42 }: Central Line L(37, 42) { 41, 55 }: Central Line L(41, 55) { 72, 73 }: Central Line L(72, 73) { 33, 200 }: Central Line L(33, 200) { 71, 228 }: Central Line L(71, 228) { 78, 345 }: Central Line L(78, 345) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_72 = ISOGONAL CONJUGATE OF X(28) (0.4367, 0.0733) X_71 = ISOGONAL CONJUGATE OF X(27) (0.4807, 0.0915) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_42 = CROSSPOINT OF INCENTER AND SYMMEDIAN POINT (0.5880, 0.2495) X_41 = -CEVA CONJUGATE OF X(31) (0.5823, 0.2244) X_55 = INSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.5490, 0.1921) X_73 = CROSSPOINT OF INCENTER AND CIRCUMCENTER (0.5487, 0.1428) X_33 = PERSPECTOR OF THE ORTHIC AND INTANGENTS TRIANGLES (0.6019, 0.3546) X_200 = -CEVA CONJUGATE OF X(9) (0.4392, 0.1037) X_228 = -CEVA CONJUGATE OF X(71) (0.5231, 0.1126) X_78 = ISOGONAL CONJUGATE OF X(34) (0.3835, 0.0491) X_345 = ISOTOMIC CONJUGATE OF X(278) (0.3405, 0.0381) X_2318 = -ISOCONJUGATE OF X(1396) (0.4078, 0.0554) A B C X72 X71 X37 X42 X41 X55 X73 X33 X200 X228 X78 X345 X2318 (a, b, c) = (5, 6, 7) | AB = 1

X2318 (X2-ISOCONJUGATE OF X1396) 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 X1396
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(4.910109605462\)
▸ Incident Central Lines14 lines

{6, 2336}, {9, 2335}, {33, 200}, {37, 42}, {41, 55}, {63, 1818}, {71, 228}, {72, 73}, {78, 345}, {209, 1400}, {212, 219}, {672, 2352}, {997, 1450}, {1808, 1812}

▸ Functional Relations1 relation