X2358

X2-ISOCONJUGATE OF X1819

< 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, 56 }: Central Line L(19, 56) { 7, 92 }: Central Line L(7, 92) { 608, 1096 }: Central Line L(608, 1096) { 65, 1826 }: Central Line L(65, 1826) { 1042, 1880 }: Central Line L(1042, 1880) { 1400, 1824 }: Central Line L(1400, 1824) 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_56 = EXSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.6316, 0.3438) X_7 = GERGONNE POINT (0.5903, 0.2769) X_92 = CEVAPOINT OF INCENTER AND CLAWSON POINT (0.5949, 0.3639) X_608 = ISOGONAL CONJUGATE OF X(345) (0.6361, 0.4975) X_1096 = TRILINEAR SQUARE OF X(19) (0.6263, 0.5385) X_65 = ORTHOCENTER OF THE INTOUCH TRIANGLE (0.6041, 0.2933) X_1826 = ZOSMA TRANSFORM OF X(6) (0.6052, 0.3795) X_1042 = CROSSPOINT OF X(1) AND X(64) (0.6427, 0.3981) X_1880 = ZOSMA TRANSFORM OF X(573) (0.6390, 0.4068) X_1400 = -BETH CONJUGATE OF X(37) (0.6246, 0.3268) X_1824 = ZOSMA TRANSFORM OF X(2) (0.6198, 0.4097) X_2358 = -ISOCONJUGATE OF X(1819) (0.6083, 0.6139) A B C X19 X56 X7 X92 X608 X1096 X65 X1826 X1042 X1880 X1400 X1824 X2358 (a, b, c) = (5, 6, 7) | AB = 1

X2358 (X2-ISOCONJUGATE OF X1819) 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 X1819
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(0.111733956629\)
▸ Incident Central Lines6 lines

{7, 92}, {19, 56}, {65, 1826}, {608, 1096}, {1042, 1880}, {1400, 1824}