X1388

POINT ANCHA

X1388 = isogonal conjugate of X1392
< 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) { 1, 3 }: OI Line (Incenter–Circumcenter Line) { 11, 944 }: Central Line L(11, 944) { 73, 1149 }: Central Line L(73, 1149) { 8, 1317 }: Central Line L(8, 1317) { 499, 952 }: Central Line L(499, 952) { 603, 1339 }: Central Line L(603, 1339) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1392 = ISOGONAL CONJUGATE OF X(1388) (0.6149, 0.4463) X_1 = INCENTER (0.5714, 0.2333) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_11 = FEUERBACH POINT (0.7347, 0.0667) X_944 = HOFSTADTER TRAPEZOID POINT (0.5306, 0.0708) X_73 = CROSSPOINT OF INCENTER AND CIRCUMCENTER (0.5487, 0.1428) X_1149 = ISOGONAL CONJUGATE OF X(1120) (1.1667, 0.8165) X_8 = NAGEL POINT (0.4694, 0.1333) X_1317 = REFLECTION OF X(11) IN X(1) (0.4082, 0.3999) X_499 = {X(1),X(2)}-HARMONIC CONJUGATE OF X(498) (0.4458, 0.1102) X_952 = INTERSECTION OF X(1)X(5) AND X(3)X(8) (0.1267, 0.6191) X_603 = -CEVA CONJUGATE OF X(56) (0.5992, 0.1851) X_1339 = NAGEL-SCHRÖDER POINT (-0.2381, -0.2333) X_1388 = POINT ANCHA (0.4835, 0.0718) A B C X1392 X1 X3 X11 X944 X73 X1149 X8 X1317 X499 X952 X603 X1339 X1388 (a, b, c) = (5, 6, 7) | AB = 1

X1388 (POINT ANCHA) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where \(f(a,b,c) = (3a - 2b -2c)/(a - b - c)\) (M. Iliev, 5/13/07)
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(-1.979640596661\)
▸ Incident Central Lines7 lines

{1, 3}, {8, 1317}, {11, 944}, {45, 1404}, {73, 1149}, {499, 952}, {603, 1339}

▸ Functional Relations1 relation