X1790

INVERSE MIMOSA TRANSFORM OF X6

X1790 = cevapoint of X3 and X48
< 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) { 3, 49 }: Central Line L(3, 49) { 36, 58 }: Central Line L(36, 58) { 21, 84 }: Central Line L(21, 84) { 48, 63 }: Central Line L(48, 63) { 27, 86 }: Central Line L(27, 86) { 57, 77 }: Central Line L(57, 77) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1826 = ZOSMA TRANSFORM OF X(6) (0.6052, 0.3795) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_49 = CENTER OF SINE-TRIPLE-ANGLE CIRCLE (0.6275, 0.1789) X_36 = INVERSE-IN-CIRCUMCIRCLE OF INCENTER (1.3333, 1.6330) X_58 = ISOGONAL CONJUGATE OF X(10) (0.6107, 0.2850) X_21 = SCHIFFLER POINT (0.5287, 0.1771) X_84 = ISOGONAL CONJUGATE OF X(40) (0.6071, 0.6816) X_48 = CROSSPOINT OF X(1) AND X(63) (0.5412, 0.1246) X_63 = ISOGONAL CONJUGATE OF X(19) (0.4566, 0.0823) X_27 = CEVAPOINT OF ORTHOCENTER AND CLAWSON CENTER (0.6182, 0.4112) X_86 = CEVAPOINT OF INCENTER AND CENTROID (0.5534, 0.2171) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_77 = ISOGONAL CONJUGATE OF X(33) (0.5270, 0.1305) X_1790 = INVERSE MIMOSA TRANSFORM OF X(6) (0.5188, 0.1134) A B C X1826 X3 X49 X36 X58 X21 X84 X48 X63 X27 X86 X57 X77 X1790 (a, b, c) = (5, 6, 7) | AB = 1

X1790 (INVERSE MIMOSA TRANSFORM OF X6) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(a(b^{2} + c^{2} - a^{2})/(b + c) : :\) (M. Iliev, 5/13/07)
Search Value (6, 9, 13): \(9.429261862426\)
▸ Alternate Coordinates1 form

  • Trilinears: \((\cot A) (1 - \cos A)/(\cos B + \cos C) : :\)

▸ Incident Central Lines20 lines

{1, 1719}, {2, 572}, {3, 49}, {6, 967}, {21, 84}, {22, 991}, {27, 86}, {36, 58}, {48, 63}, {57, 77}, {71, 1796}, {73, 1798}, {103, 110}, {199, 511}, {222, 1804}, {228, 295}, {306, 332}, {333, 662}, {1214, 1813}, {1408, 1470}

▸ Functional Relations6 relations