X2314

X2-ISOCONJUGATE OF X1299

< 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, 47 }: Central Line L(19, 47) { 44, 513 }: Central Line L(44, 513) { 48, 1820 }: Central Line L(48, 1820) { 563, 1953 }: Central Line L(563, 1953) 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_47 = -BETH CONJUGATE OF X(34) (0.7279, 0.4389) X_44 = -LINE CONJUGATE OF X(1) (2.1429, 2.0996) X_513 = ISOGONAL CONJUGATE OF X(100) (1.0529, -0.0806) X_48 = CROSSPOINT OF X(1) AND X(63) (0.5412, 0.1246) X_1820 = ISOGONAL CONJUGATE OF MIMOSA TRANSFORM OF X(264) (-0.0663, -0.0078) X_563 = TRILINEAR PRODUCT X(47)*X(48) (0.8122, 0.3243) X_1953 = BICENTRIC SUM OF PU(21) (0.5856, 0.2841) X_2314 = -ISOCONJUGATE OF X(1299) (4.2759, 0.9385) A B C X19 X47 X44 X513 X48 X1820 X563 X1953 X2314 (a, b, c) = (5, 6, 7) | AB = 1

X2314 (X2-ISOCONJUGATE OF X1299) 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 X1299
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(-4.655318841059\)
▸ Incident Central Lines4 lines

{19, 47}, {44, 513}, {48, 1820}, {563, 1953}

▸ Functional Relations1 relation