X1776

MIMOSA TRANSFORM OF X1156

X1776 = crosspoint of X21 and X1156
< 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, 46 }: Central Line L(4, 46) { 21, 60 }: Central Line L(21, 60) { 63, 497 }: Central Line L(63, 497) { 243, 522 }: Central Line L(243, 522) { 191, 950 }: Central Line L(191, 950) { 33, 1707 }: Central Line L(33, 1707) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_21 = SCHIFFLER POINT (0.5287, 0.1771) X_1156 = ISOGONAL CONJUGATE OF X(1155) (0.8791, -0.1436) X_4 = ORTHOCENTER (0.6122, 0.3958) X_46 = -CEVA CONJUGATE OF X(1) (0.6917, 0.4543) X_60 = ISOGONAL CONJUGATE OF X(12) (0.5790, 0.2258) X_63 = ISOGONAL CONJUGATE OF X(19) (0.4566, 0.0823) X_497 = CROSSPOINT OF GERGONNE POINT AND NAGEL POINT (0.5593, 0.1851) X_243 = -LINE CONJUGATE OF X(73) (0.7516, 0.9505) X_522 = ISOGONAL CONJUGATE OF X(109) (-0.0318, 0.3430) X_191 = -CEVA CONJUGATE OF X(1) (0.4859, 0.1209) X_950 = CROSSPOINT OF X(8) AND X(29) (0.5621, 0.1961) X_33 = PERSPECTOR OF THE ORTHIC AND INTANGENTS TRIANGLES (0.6019, 0.3546) X_1707 = MIMOSA TRANSFORM OF X(6) (0.7574, 0.4777) X_1776 = MIMOSA TRANSFORM OF X(1156) (1.2093, 0.8355) A B C X21 X1156 X4 X46 X60 X63 X497 X243 X522 X191 X950 X33 X1707 X1776 (a, b, c) = (5, 6, 7) | AB = 1

X1776 (MIMOSA TRANSFORM OF X1156) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where \(f(a,b,c) = - (\cos A)/x + (\cos B)/y + (\cos C)/z\),\(x : y : z\) = X1156
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(1.143274238825\)
▸ Incident Central Lines13 lines

{4, 46}, {21, 60}, {33, 1707}, {63, 497}, {109, 1736}, {191, 950}, {243, 522}, {411, 1898}, {519, 1697}, {1005, 1864}, {1155, 1156}, {1725, 1870}, {1748, 1857}

▸ Functional Relations2 relations