X2272

X2-ISOCONJUGATE OF X972

X2272 = crosspoint of X57 and X103
< 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, 57 }: Central Line L(19, 57) { 48, 55 }: Central Line L(48, 55) { 71, 165 }: Central Line L(71, 165) { 44, 513 }: Central Line L(44, 513) { 6, 1200 }: Central Line L(6, 1200) { 603, 607 }: Central Line L(603, 607) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2338 = -ISOCONJUGATE OF X(1456) (0.6785, -0.1622) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_19 = CLAWSON POINT (0.6246, 0.4244) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_48 = CROSSPOINT OF X(1) AND X(63) (0.5412, 0.1246) X_55 = INSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.5490, 0.1921) X_71 = ISOGONAL CONJUGATE OF X(27) (0.4807, 0.0915) X_165 = CENTROID OF THE EXCENTRAL TRIANGLE (0.4762, 0.0583) X_44 = -LINE CONJUGATE OF X(1) (2.1429, 2.0996) X_513 = ISOGONAL CONJUGATE OF X(100) (1.0529, -0.0806) X_1200 = 3rd SARAGOSSA POINT OF X(55) (0.5972, 0.2387) X_603 = -CEVA CONJUGATE OF X(56) (0.5992, 0.1851) X_607 = ISOGONAL CONJUGATE OF X(348) (0.6187, 0.3865) X_2272 = -ISOCONJUGATE OF X(972) (0.8525, 2.8019) A B C X2338 X6 X19 X57 X48 X55 X71 X165 X44 X513 X1200 X603 X607 X2272 (a, b, c) = (5, 6, 7) | AB = 1

X2272 (X2-ISOCONJUGATE OF X972) 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 X972
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(-3.418488370987\)
▸ Incident Central Lines12 lines

{6, 1200}, {19, 57}, {44, 513}, {48, 55}, {71, 165}, {101, 2077}, {198, 1615}, {354, 1953}, {603, 607}, {909, 2291}, {1202, 2262}, {2280, 2317}

▸ Functional Relations3 relations