X2348

X2-ISOCONJUGATE OF X1477

X2348 = X105-Ceva conjugate of X55
< 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, 55 }: Central Line L(9, 55) { 65, 169 }: Central Line L(65, 169) { 6, 354 }: Central Line L(6, 354) { 44, 513 }: Central Line L(44, 513) { 105, 518 }: Central Line L(105, 518) { 57, 1122 }: Central Line L(57, 1122) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_105 = Λ(INCENTER, SYMMEDIAN POINT) (0.9714, -0.0933) X_55 = INSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.5490, 0.1921) X_9 = MITTENPUNKT (0.5110, 0.1615) X_65 = ORTHOCENTER OF THE INTOUCH TRIANGLE (0.6041, 0.2933) X_169 = -CEVA CONJUGATE OF X(1) (0.5497, 0.2510) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_354 = WEILL POINT (0.5823, 0.2533) X_44 = -LINE CONJUGATE OF X(1) (2.1429, 2.0996) X_513 = ISOGONAL CONJUGATE OF X(100) (1.0529, -0.0806) X_518 = ISOGONAL CONJUGATE OF X(105) (0.9154, 0.6489) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_1122 = 1st GRINBERG POINT (0.6289, 0.3227) X_2348 = -ISOCONJUGATE OF X(1477) (2.6057, 1.8476) A B C X105 X55 X9 X65 X169 X6 X354 X44 X513 X518 X57 X1122 X2348 (a, b, c) = (5, 6, 7) | AB = 1

X2348 (X2-ISOCONJUGATE OF X1477) 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 X1477
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(-10.011827325246\)
▸ Incident Central Lines14 lines

{6, 354}, {9, 55}, {37, 2280}, {41, 1212}, {44, 513}, {57, 1122}, {65, 169}, {101, 1319}, {105, 518}, {220, 2082}, {238, 1282}, {1617, 1723}, {1696, 2257}, {1783, 1875}

▸ Functional Relations3 relations