X1835

ZOSMA TRANSFORM OF X30

X1835 = isogonal conjugate of X1793
< 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) { 28, 34 }: Central Line L(28, 34) { 4, 79 }: Central Line L(4, 79) { 36, 186 }: Central Line L(36, 186) { 65, 225 }: Central Line L(65, 225) { 320, 340 }: Central Line L(320, 340) { 758, 860 }: Central Line L(758, 860) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1870 = ZOSMA TRANSFORM OF X(484) (0.6984, 0.7387) X_1464 = -BETH CONJUGATE OF X(758) (0.8584, 0.9843) X_28 = CEVAPOINT OF X(19) AND X(25) (0.6285, 0.4382) X_34 = -BETH CONJUGATE OF X(4) (0.6332, 0.4792) X_4 = ORTHOCENTER (0.6122, 0.3958) X_79 = ISOGONAL CONJUGATE OF X(35) (0.5976, 0.3019) X_36 = INVERSE-IN-CIRCUMCIRCLE OF INCENTER (1.3333, 1.6330) X_186 = INVERSE-IN-CIRCUMCIRCLE OF X(4) (0.7957, 0.8758) X_65 = ORTHOCENTER OF THE INTOUCH TRIANGLE (0.6041, 0.2933) X_225 = -CEVA CONJUGATE OF X(65) (0.6246, 0.4451) X_320 = ISOTOMIC CONJUGATE OF X(80) (-2.6735, -3.5993) X_340 = ISOTOMIC CONJUGATE OF X(265) (1.2317, 1.4188) X_758 = EVEN (1, 3) INFINITY POINT (0.1821, -0.2671) X_860 = INTERCEPT OF EULER LINE AND TRILINEAR POLAR OF X(92) (0.7856, 0.8494) X_1835 = ZOSMA TRANSFORM OF X(30) (0.6564, 0.6795) A B C X1870 X1464 X28 X34 X4 X79 X36 X186 X65 X225 X320 X340 X758 X860 X1835 (a, b, c) = (5, 6, 7) | AB = 1

X1835 (ZOSMA TRANSFORM OF X30) 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,\(x : y : z\) = X30
Barycentrics: (y + z) tan A : (z + x) tan B : (x + y) tan C,\(x : y : z\) = X30
Search Value (6, 9, 13): \(0.141249028473\)
▸ Incident Central Lines10 lines

{4, 79}, {28, 34}, {36, 186}, {65, 225}, {320, 340}, {513, 1874}, {758, 860}, {1398, 1470}, {1785, 1830}, {1831, 1838}

▸ Functional Relations4 relations