X2315

X2-ISOCONJUGATE OF X1300

X2315 = X2159-Ceva conjugate of X48
< 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, 91 }: Central Line L(19, 91) { 48, 255 }: Central Line L(48, 255) { 44, 513 }: Central Line L(44, 513) { 774, 1953 }: Central Line L(774, 1953) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2159 = -ISOCONJUGATE OF X(30) (0.8357, -0.4858) X_48 = CROSSPOINT OF X(1) AND X(63) (0.5412, 0.1246) X_19 = CLAWSON POINT (0.6246, 0.4244) X_91 = ISOGONAL CONJUGATE OF X(47) (-0.0865, -0.0205) X_255 = ISOGONAL CONJUGATE OF X(158) (0.4217, 0.0365) X_44 = -LINE CONJUGATE OF X(1) (2.1429, 2.0996) X_513 = ISOGONAL CONJUGATE OF X(100) (1.0529, -0.0806) X_774 = CROSSPOINT OF X(1) AND X(158) (0.6363, 0.3186) X_1953 = BICENTRIC SUM OF PU(21) (0.5856, 0.2841) X_2315 = -ISOCONJUGATE OF X(1300) (2.7629, 1.7621) A B C X2159 X48 X19 X91 X255 X44 X513 X774 X1953 X2315 (a, b, c) = (5, 6, 7) | AB = 1

X2315 (X2-ISOCONJUGATE OF X1300) 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 X1300
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(-3.124360069581\)
▸ Incident Central Lines4 lines

{19, 91}, {44, 513}, {48, 255}, {774, 1953}

▸ Functional Relations2 relations