X2181

X2-ISOCONJUGATE OF X97

X2181 = X19-Ceva conjugate of X2179
< 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, 31 }: Central Line L(19, 31) { 38, 92 }: Central Line L(38, 92) { 244, 278 }: Central Line L(244, 278) { 158, 774 }: Central Line L(158, 774) { 281, 756 }: Central Line L(281, 756) { 42, 1859 }: Central Line L(42, 1859) 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_2179 = -ISOCONJUGATE OF X(95) (0.6272, 0.3514) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_38 = CROSSPOINT OF X(1) AND X(75) (0.5443, 0.1976) X_92 = CEVAPOINT OF INCENTER AND CLAWSON POINT (0.5949, 0.3639) X_244 = -LINE CONJUGATE OF X(100) (0.7857, 0.1166) X_278 = ISOGONAL CONJUGATE OF X(219) (0.6278, 0.4577) X_158 = -CROSS CONJUGATE OF X(92) (0.6215, 0.5117) X_774 = CROSSPOINT OF X(1) AND X(158) (0.6363, 0.3186) X_281 = -CROSS CONJUGATE OF X(9) (0.5796, 0.3202) X_756 = CROSSPOINT OF X(10) AND X(37) (0.5409, 0.1988) X_42 = CROSSPOINT OF INCENTER AND SYMMEDIAN POINT (0.5880, 0.2495) X_1859 = ZOSMA TRANSFORM OF X(226) (0.6113, 0.3833) X_2181 = -ISOCONJUGATE OF X(97) (0.6252, 0.4634) A B C X19 X2179 X31 X38 X92 X244 X278 X158 X774 X281 X756 X42 X1859 X2181 (a, b, c) = (5, 6, 7) | AB = 1

X2181 (X2-ISOCONJUGATE OF X97) 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 X97
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(-0.061997907489\)
▸ Incident Central Lines12 lines

{19, 31}, {33, 2177}, {38, 92}, {42, 1859}, {158, 774}, {244, 278}, {281, 756}, {896, 1748}, {1118, 1254}, {1193, 1871}, {1857, 2310}, {1953, 2313}

▸ Functional Relations4 relations