X1880

ZOSMA TRANSFORM OF X573

X1880 = polar conjugate of X314
< 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) { 6, 19 }: Central Line L(6, 19) { 12, 37 }: Central Line L(12, 37) { 2, 92 }: Central Line L(2, 92) { 108, 111 }: Central Line L(108, 111) { 4, 941 }: Central Line L(4, 941) { 28, 961 }: Central Line L(28, 961) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1812 = INVERSE MIMOSA TRANSFORM OF X(573) (0.4032, 0.0557) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_19 = CLAWSON POINT (0.6246, 0.4244) 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_2 = CENTROID (0.5374, 0.2000) X_92 = CEVAPOINT OF INCENTER AND CLAWSON POINT (0.5949, 0.3639) X_108 = Ψ(CIRCUMCENTER, INCENTER) (0.5320, 0.6114) X_111 = PARRY POINT (0.9885, -0.0457) X_4 = ORTHOCENTER (0.6122, 0.3958) X_941 = ISOGONAL CONJUGATE OF X(940) (0.5671, 0.2256) X_28 = CEVAPOINT OF X(19) AND X(25) (0.6285, 0.4382) X_961 = ISOGONAL CONJUGATE OF X(960) (0.6167, 0.3210) X_1880 = ZOSMA TRANSFORM OF X(573) (0.6390, 0.4068) A B C X1812 X6 X19 X12 X37 X2 X92 X108 X111 X4 X941 X28 X961 X1880 (a, b, c) = (5, 6, 7) | AB = 1

X1880 (ZOSMA TRANSFORM OF X573) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \((y + z) \sec A : :\), where \(x : y : z\) = X573
Search Value (6, 9, 13): \(-0.179034109950\)
▸ Alternate Coordinates1 form

  • Trilinears: \(\tan A \tan(A/2)(b + c) : :\)

▸ Incident Central Lines16 lines

{2, 92}, {4, 941}, {6, 19}, {12, 37}, {25, 1096}, {28, 961}, {42, 1824}, {57, 967}, {108, 111}, {331, 1218}, {1171, 1396}, {1254, 1400}, {1411, 1474}, {1722, 1723}, {1735, 1765}, {1839, 1877}

▸ Functional Relations5 relations