X1812

INVERSE MIMOSA TRANSFORM OF X573

X1812 = X92-isoconjugate of X1402
< 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) { 2, 6 }: Centroid–Symmedian Line { 21, 60 }: Central Line L(21, 60) { 48, 63 }: Central Line L(48, 63) { 78, 212 }: Central Line L(78, 212) { 219, 332 }: Central Line L(219, 332) { 280, 285 }: Central Line L(280, 285) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1880 = ZOSMA TRANSFORM OF X(573) (0.6390, 0.4068) X_2 = CENTROID (0.5374, 0.2000) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_21 = SCHIFFLER POINT (0.5287, 0.1771) X_60 = ISOGONAL CONJUGATE OF X(12) (0.5790, 0.2258) 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_78 = ISOGONAL CONJUGATE OF X(34) (0.3835, 0.0491) X_212 = -CEVA CONJUGATE OF X(41) (0.4719, 0.0786) X_219 = -CEVA CONJUGATE OF X(55) (0.4277, 0.0625) X_332 = ISOTOMIC CONJUGATE OF X(225) (0.3595, 0.0434) X_280 = -CROSS CONJUGATE OF X(8) (0.6379, 0.8041) X_285 = -CROSS CONJUGATE OF X(21) (0.6147, 0.7300) X_1812 = INVERSE MIMOSA TRANSFORM OF X(573) (0.4032, 0.0557) A B C X1880 X2 X6 X21 X60 X48 X63 X78 X212 X219 X332 X280 X285 X1812 (a, b, c) = (5, 6, 7) | AB = 1

X1812 (INVERSE MIMOSA TRANSFORM OF X573) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(\cot A \cot(A/2)/(b + c) : :\)
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(5.147297666826\)
▸ Alternate Coordinates1 form

  • Trilinears: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where \(f(a,b,c) = (\cos A)/(y + z)\),\(x : y : z\) = X573

▸ Incident Central Lines17 lines

{2, 6}, {21, 60}, {48, 63}, {58, 997}, {72, 1437}, {78, 212}, {219, 332}, {222, 348}, {274, 1231}, {280, 285}, {306, 1332}, {314, 1172}, {662, 1817}, {860, 1330}, {1006, 1092}, {1412, 1708}, {1762, 1959}

▸ Functional Relations4 relations