X2591

X2-ISOCONJUGATE OF X1382

X2591 = crosspoint of X57 and X1382
< 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) { 44, 513 }: Central Line L(44, 513) { 101, 1382 }: Central Line L(101, 1382) { 1381, 2291 }: Central Line L(1381, 2291) { 2170, 2447 }: Central Line L(2170, 2447) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_1382 = 2nd INTERCEPT OF LINE X(1)X(3) AND CIRCUMCIRCLE (0.2560, -0.3461) X_44 = -LINE CONJUGATE OF X(1) (2.1429, 2.0996) X_513 = ISOGONAL CONJUGATE OF X(100) (1.0529, -0.0806) X_101 = Ψ(INCENTER, SYMMEDIAN POINT) (0.2143, 0.5249) X_1381 = 1st INTERCEPT OF LINE X(1)X(3) AND CIRCUMCIRCLE (0.7440, 0.5503) X_2291 = -ISOCONJUGATE OF X(1155) (0.9245, -0.1812) X_2170 = -ISOCONJUGATE OF X(59) (0.7601, 0.0792) X_2447 = 2nd INTERSECTION(LINE X(1)X(3), INCIRCLE) (0.6830, 0.4382) X_2591 = -ISOCONJUGATE OF X(1382) (0.0852, 3.2196) A B C X57 X1382 X44 X513 X101 X1381 X2291 X2170 X2447 X2591 (a, b, c) = (5, 6, 7) | AB = 1

X2591 (X2-ISOCONJUGATE OF X1382) 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 at X1382
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a) : c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(-3.360997354863\)
▸ Incident Central Lines4 lines

{44, 513}, {101, 1382}, {1381, 2291}, {2170, 2447}

▸ Functional Relations5 relations