X2205

X2-ISOCONJUGATE OF X310

X2205 = X32-Ceva conjugate of X1918
< 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, 32 }: Central Line L(31, 32) { 37, 82 }: Central Line L(37, 82) { 81, 172 }: Central Line L(81, 172) { 100, 699 }: Central Line L(100, 699) { 101, 715 }: Central Line L(101, 715) { 560, 1501 }: Central Line L(560, 1501) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_32 = 3rd POWER POINT (0.6400, 0.3332) X_1918 = BICENTRIC SUM OF PU(12) (0.6333, 0.3163) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_82 = ISOGONAL CONJUGATE OF X(38) (0.5943, 0.2703) X_81 = CEVAPOINT OF INCENTER AND SYMMEDIAN POINT (0.5849, 0.2510) X_172 = TRILINEAR PRODUCT X(6)*X(171) (0.6080, 0.2866) X_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) X_699 = EVEN (- 4, - 2) CIRCUMCIRCLE POINT (0.9822, 0.2692) X_101 = Ψ(INCENTER, SYMMEDIAN POINT) (0.2143, 0.5249) X_715 = EVEN (- 3, - 1) CIRCUMCIRCLE POINT (1.0000, 0.2040) X_560 = 4th POWER POINT (0.6520, 0.3639) X_1501 = TRILINEAR 5th POWER POINT (0.6596, 0.3922) X_2205 = -ISOCONJUGATE OF X(310) (0.6477, 0.3479) A B C X32 X1918 X31 X37 X82 X81 X172 X100 X699 X101 X715 X560 X1501 X2205 (a, b, c) = (5, 6, 7) | AB = 1

X2205 (X2-ISOCONJUGATE OF X310) 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 X310
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(0.196641776564\)
▸ Incident Central Lines7 lines

{31, 32}, {37, 82}, {81, 172}, {100, 699}, {101, 715}, {560, 1501}, {1922, 2206}

▸ Functional Relations4 relations