X2201

X2-ISOCONJUGATE OF X295

X2201 = crosssum of X71 and X1818
< 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, 25 }: Central Line L(19, 25) { 27, 86 }: Central Line L(27, 86) { 48, 497 }: Central Line L(48, 497) { 242, 740 }: Central Line L(242, 740) { 256, 1172 }: Central Line L(256, 1172) { 513, 1430 }: Central Line L(513, 1430) 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_25 = HOMOTHETIC CENTER OF ORTHIC AND TANGENTIAL TRIANGLES (0.6329, 0.4497) X_27 = CEVAPOINT OF ORTHOCENTER AND CLAWSON CENTER (0.6182, 0.4112) X_86 = CEVAPOINT OF INCENTER AND CENTROID (0.5534, 0.2171) X_48 = CROSSPOINT OF X(1) AND X(63) (0.5412, 0.1246) X_497 = CROSSPOINT OF GERGONNE POINT AND NAGEL POINT (0.5593, 0.1851) X_242 = -LINE CONJUGATE OF X(71) (0.7507, 0.7161) X_740 = EVEN (- 1, 1) INFINITY POINT (0.9745, 0.5915) X_256 = 1st SHARYGIN POINT (0.5601, 0.2146) X_1172 = 1st SARAGOSSA POINT OF X(48) (0.6100, 0.3717) X_513 = ISOGONAL CONJUGATE OF X(100) (1.0529, -0.0806) X_1430 = -BETH CONJUGATE OF X(243) (0.6360, 0.7152) X_2201 = -ISOCONJUGATE OF X(295) (0.7068, 0.6767) A B C X19 X25 X27 X86 X48 X497 X242 X740 X256 X1172 X513 X1430 X2201 (a, b, c) = (5, 6, 7) | AB = 1

X2201 (X2-ISOCONJUGATE OF X295) 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 X295
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(0.581564924139\)
▸ Incident Central Lines17 lines

{4, 1973}, {19, 25}, {27, 86}, {48, 497}, {242, 740}, {256, 1172}, {513, 1430}, {608, 2162}, {855, 1951}, {862, 2238}, {1284, 1914}, {1479, 2172}, {1755, 1936}, {1842, 2332}, {1851, 2280}, {1884, 2202}, {2310, 2312}

▸ Functional Relations3 relations