X1874

ZOSMA TRANSFORM OF X511

X1874 = X242-Ceva conjugate of X1284
< 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) { 12, 37 }: Central Line L(12, 37) { 29, 34 }: Central Line L(29, 34) { 4, 240 }: Central Line L(4, 240) { 238, 242 }: Central Line L(238, 242) { 862, 1284 }: Central Line L(862, 1284) { 513, 1835 }: Central Line L(513, 1835) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_242 = -LINE CONJUGATE OF X(71) (0.7507, 0.7161) X_1284 = 8th SHARYGIN POINT (0.9846, 0.9156) X_12 = {X(1),X(5)}-HARMONIC CONJUGATE OF X(11) (0.5641, 0.2407) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_29 = CEVAPOINT OF INCENTER AND ORTHOCENTER (0.5903, 0.3384) X_34 = -BETH CONJUGATE OF X(4) (0.6332, 0.4792) X_4 = ORTHOCENTER (0.6122, 0.3958) X_240 = -LINE CONJUGATE OF X(48) (0.7457, 0.8594) X_238 = -LINE CONJUGATE OF X(37) (1.6190, 1.4775) X_862 = INTERCEPT OF EULER LINE AND TRILINEAR POLAR OF X(19) (0.7262, 0.6939) X_513 = ISOGONAL CONJUGATE OF X(100) (1.0529, -0.0806) X_1835 = ZOSMA TRANSFORM OF X(30) (0.6564, 0.6795) X_1874 = ZOSMA TRANSFORM OF X(511) (0.6888, 0.6619) A B C X242 X1284 X12 X37 X29 X34 X4 X240 X238 X862 X513 X1835 X1874 (a, b, c) = (5, 6, 7) | AB = 1

X1874 (ZOSMA TRANSFORM OF X511) 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,\(x : y : z\) = X511
Barycentrics: (y + z) tan A : (z + x) tan B : (x + y) tan C,\(x : y : z\) = X511
Search Value (6, 9, 13): \(0.240625609391\)
▸ Incident Central Lines6 lines

{4, 240}, {12, 37}, {29, 34}, {238, 242}, {513, 1835}, {862, 1284}

▸ Functional Relations5 relations