X2228

X2-ISOCONJUGATE OF X713

< 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) { 10, 75 }: Central Line L(10, 75) { 44, 513 }: Central Line L(44, 513) { 291, 320 }: Central Line L(291, 320) { 1193, 1386 }: Central Line L(1193, 1386) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_75 = ISOTOMIC CONJUGATE OF INCENTER (0.4988, 0.1682) X_44 = -LINE CONJUGATE OF X(1) (2.1429, 2.0996) X_513 = ISOGONAL CONJUGATE OF X(100) (1.0529, -0.0806) X_291 = 2nd SHARYGIN POINT (1.0249, 0.0364) X_320 = ISOTOMIC CONJUGATE OF X(80) (-2.6735, -3.5993) X_1193 = 3rd SARAGOSSA POINT OF X(1) (0.5959, 0.2573) X_1386 = MIDPOINT OF INCENTER AND SYMMEDIAN POINT (0.5857, 0.2503) X_2228 = -ISOCONJUGATE OF X(713) (2.7741, 1.7559) A B C X10 X75 X44 X513 X291 X320 X1193 X1386 X2228 (a, b, c) = (5, 6, 7) | AB = 1

X2228 (X2-ISOCONJUGATE OF X713) 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 X713
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(-9.388653025760\)
▸ Incident Central Lines4 lines

{10, 75}, {44, 513}, {291, 320}, {1193, 1386}

▸ Functional Relations1 relation