X1846

ZOSMA TRANSFORM OF X104

X1846 = crosspoint of X4 and X1785
< 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, 11 }: Central Line L(4, 11) { 19, 53 }: Central Line L(19, 53) { 517, 1361 }: Central Line L(517, 1361) { 65, 1830 }: Central Line L(65, 1830) { 225, 1828 }: Central Line L(225, 1828) { 1319, 1877 }: Central Line L(1319, 1877) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_4 = ORTHOCENTER (0.6122, 0.3958) X_1877 = ZOSMA TRANSFORM OF X(517) (0.6803, 0.6665) X_11 = FEUERBACH POINT (0.7347, 0.0667) X_19 = CLAWSON POINT (0.6246, 0.4244) X_53 = SYMMEDIAN POINT OF ORTHIC TRIANGLE (0.6164, 0.4390) X_517 = ISOGONAL CONJUGATE OF X(104) (0.8180, 0.7154) X_1361 = BRISSE TRANSFORM OF X(104) (0.5091, 0.4581) X_65 = ORTHOCENTER OF THE INTOUCH TRIANGLE (0.6041, 0.2933) X_1830 = ZOSMA TRANSFORM OF X(11) (0.5714, 0.4666) X_225 = -CEVA CONJUGATE OF X(65) (0.6246, 0.4451) X_1828 = ZOSMA TRANSFORM OF X(8) (0.6327, 0.4332) X_1319 = BEVAN-SCHRÖDER POINT (0.9524, 0.9331) X_1846 = ZOSMA TRANSFORM OF X(104) (0.5566, 0.5453) A B C X4 X1877 X11 X19 X53 X517 X1361 X65 X1830 X225 X1828 X1319 X1846 (a, b, c) = (5, 6, 7) | AB = 1

X1846 (ZOSMA TRANSFORM OF X104) 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,\(x : y : z\) = X104
Barycentrics: (y + z) tan A : (z + x) tan B : (x + y) tan C,\(x : y : z\) = X104
Search Value (6, 9, 13): \(-0.217966423784\)
▸ Incident Central Lines7 lines

{4, 11}, {19, 53}, {65, 1830}, {225, 1828}, {517, 1361}, {1319, 1877}, {1844, 1887}

▸ Functional Relations3 relations