X1792

INVERSE MIMOSA TRANSFORM OF X20

X1792 = isogonal conjugate of X1426
< 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) { 8, 21 }: Central Line L(8, 21) { 3, 69 }: Central Line L(3, 69) { 78, 212 }: Central Line L(78, 212) { 86, 939 }: Central Line L(86, 939) { 99, 972 }: Central Line L(99, 972) { 314, 943 }: Central Line L(314, 943) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_332 = ISOTOMIC CONJUGATE OF X(225) (0.3595, 0.0434) X_1812 = INVERSE MIMOSA TRANSFORM OF X(573) (0.4032, 0.0557) X_8 = NAGEL POINT (0.4694, 0.1333) X_21 = SCHIFFLER POINT (0.5287, 0.1771) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_69 = SYMMEDIAN POINT OF THE ANTICOMPLEMENTARY TRIANGLE (0.4122, 0.0654) X_78 = ISOGONAL CONJUGATE OF X(34) (0.3835, 0.0491) X_212 = -CEVA CONJUGATE OF X(41) (0.4719, 0.0786) X_86 = CEVAPOINT OF INCENTER AND CENTROID (0.5534, 0.2171) X_939 = ISOGONAL CONJUGATE OF X(938) (0.5573, 0.2204) X_99 = STEINER POINT (0.1109, 0.4322) X_972 = ISOGONAL CONJUGATE OF X(971) (0.5731, -0.4030) X_314 = ISOTOMIC CONJUGATE OF X(65) (0.4457, 0.1206) X_943 = ISOGONAL CONJUGATE OF X(942) (0.5528, 0.2043) X_1792 = INVERSE MIMOSA TRANSFORM OF X(20) (0.3324, 0.0321) A B C X332 X1812 X8 X21 X3 X69 X78 X212 X86 X939 X99 X972 X314 X943 X1792 (a, b, c) = (5, 6, 7) | AB = 1

X1792 (INVERSE MIMOSA TRANSFORM OF X20) 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 \(f(a,b,c) = (\cos A)/(y + z)\),\(x : y : z\) = X20
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(5.711641484217\)
▸ Incident Central Lines10 lines

{3, 69}, {8, 21}, {78, 212}, {81, 1257}, {86, 939}, {99, 972}, {228, 1791}, {271, 1819}, {314, 943}, {1260, 1265}

▸ Functional Relations3 relations