X2939

EXCENTRAL-ISOGONAL CONJUGATE OF X4

X2939 is the excentral-isogonal conjugate of X4.
< 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, 2360 }: Central Line L(1, 2360) { 1, 19 }: Central Line L(1, 19) { 43, 46 }: Central Line L(43, 46) { 35, 228 }: Central Line L(35, 228) { 165, 191 }: Central Line L(165, 191) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1 = INCENTER (0.5714, 0.2333) X_2360 = -ISOCONJUGATE OF X(1903) (0.4943, -0.0436) X_19 = CLAWSON POINT (0.6246, 0.4244) X_43 = -CEVA CONJUGATE OF X(1) (0.6358, 0.2963) X_46 = -CEVA CONJUGATE OF X(1) (0.6917, 0.4543) X_35 = {X(1),X(3)}-HARMONIC CONJUGATE OF X(36) (0.5373, 0.1706) X_228 = -CEVA CONJUGATE OF X(71) (0.5231, 0.1126) X_165 = CENTROID OF THE EXCENTRAL TRIANGLE (0.4762, 0.0583) X_191 = -CEVA CONJUGATE OF X(1) (0.4859, 0.1209) X_2939 = EXCENTRAL-ISOGONAL CONJUGATE OF X(4) (0.4173, -0.3206) A B C X1 X2360 X19 X43 X46 X35 X228 X165 X191 X2939 (a, b, c) = (5, 6, 7) | AB = 1

X2939 (EXCENTRAL-ISOGONAL CONJUGATE OF X4) 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) is as described just before X2883
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(-9.971153731149\)
▸ Incident Central Lines10 lines

{1, 19}, {3, 1762}, {20, 2822}, {35, 228}, {40, 2947}, {43, 46}, {72, 1761}, {165, 191}, {170, 2938}, {2779, 2948}

▸ Functional Relations4 relations