X1855

ZOSMA TRANSFORM OF X218

X1855 = crosspoint of X92 and X281
< 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) { 4, 9 }: Orthocenter–Spieker Line { 85, 92 }: Central Line L(85, 92) { 65, 1146 }: Central Line L(65, 1146) { 1, 1886 }: Central Line L(1, 1886) { 55, 1856 }: Central Line L(55, 1856) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_92 = CEVAPOINT OF INCENTER AND CLAWSON POINT (0.5949, 0.3639) X_281 = -CROSS CONJUGATE OF X(9) (0.5796, 0.3202) X_4 = ORTHOCENTER (0.6122, 0.3958) X_9 = MITTENPUNKT (0.5110, 0.1615) X_85 = ISOTOMIC CONJUGATE OF X(9) (0.5610, 0.2421) X_65 = ORTHOCENTER OF THE INTOUCH TRIANGLE (0.6041, 0.2933) X_1146 = CENTER OF HYPERBOLA {{A,B,C,X(2),X(8)}} (0.6866, 0.0428) X_1 = INCENTER (0.5714, 0.2333) X_1886 = ZOSMA TRANSFORM OF X(910) (0.6597, 0.7902) X_55 = INSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.5490, 0.1921) X_1856 = ZOSMA TRANSFORM OF X(222) (0.6117, 0.4282) X_1855 = ZOSMA TRANSFORM OF X(218) (0.5885, 0.3407) A B C X92 X281 X4 X9 X85 X65 X1146 X1 X1886 X55 X1856 X1855 (a, b, c) = (5, 6, 7) | AB = 1

X1855 (ZOSMA TRANSFORM OF X218) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: (y + z) sec A : (z + x) sec B : (x + y) sec C,\(x : y : z\) = X218
Barycentrics: (y + z) tan A : (z + x) tan B : (x + y) tan C,\(x : y : z\) = X218
Search Value (6, 9, 13): \(6.023435197527\)
▸ Incident Central Lines5 lines

{1, 1886}, {4, 9}, {55, 1856}, {65, 1146}, {85, 92}

▸ Functional Relations3 relations