X2216

X2-ISOCONJUGATE OF X570

X2216 = cevapoint of X31 and X1953
< 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) { 31, 91 }: Central Line L(31, 91) { 47, 75 }: Central Line L(47, 75) { 225, 1179 }: Incenter–Orthocenter Line { 1953, 2168 }: Central Line L(1953, 2168) { 2172, 2186 }: Central Line L(2172, 2186) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_1953 = BICENTRIC SUM OF PU(21) (0.5856, 0.2841) X_91 = ISOGONAL CONJUGATE OF X(47) (-0.0865, -0.0205) X_47 = -BETH CONJUGATE OF X(34) (0.7279, 0.4389) X_75 = ISOTOMIC CONJUGATE OF INCENTER (0.4988, 0.1682) X_225 = -CEVA CONJUGATE OF X(65) (0.6246, 0.4451) X_1179 = 1st SARAGOSSA POINT OF X(96) (0.6245, 0.4442) X_2168 = -ISOCONJUGATE OF X(52) (-0.1206, -0.0284) X_2172 = -ISOCONJUGATE OF X(66) (0.4601, -0.1665) X_2186 = -ISOCONJUGATE OF X(182) (0.6123, 0.3199) X_2216 = -ISOCONJUGATE OF X(570) (0.6037, 0.2921) A B C X31 X1953 X91 X47 X75 X225 X1179 X2168 X2172 X2186 X2216 (a, b, c) = (5, 6, 7) | AB = 1

X2216 (X2-ISOCONJUGATE OF X570) 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 X570
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(0.169457698497\)
▸ Incident Central Lines5 lines

{31, 91}, {47, 75}, {225, 1179}, {1953, 2168}, {2172, 2186}

▸ Functional Relations2 relations