X1793

INVERSE MIMOSA TRANSFORM OF X30

X1793 = isogonal conjugate of X1835
< 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) { 10, 21 }: Central Line L(10, 21) { 3, 125 }: Central Line L(3, 125) { 72, 283 }: Central Line L(72, 283) { 307, 1444 }: Central Line L(307, 1444) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1835 = ZOSMA TRANSFORM OF X(30) (0.6564, 0.6795) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_21 = SCHIFFLER POINT (0.5287, 0.1771) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_125 = CENTER OF JERABEK HYPERBOLA (0.6803, 0.0260) X_72 = ISOGONAL CONJUGATE OF X(28) (0.4367, 0.0733) X_283 = -CROSS CONJUGATE OF X(21) (0.4475, 0.0704) X_307 = ISOTOMIC CONJUGATE OF X(29) (0.4659, 0.0959) X_1444 = -BETH CONJUGATE OF X(332) (0.4762, 0.0921) X_1793 = INVERSE MIMOSA TRANSFORM OF X(30) (0.7938, -0.0219) A B C X1835 X10 X21 X3 X125 X72 X283 X307 X1444 X1793 (a, b, c) = (5, 6, 7) | AB = 1

X1793 (INVERSE MIMOSA TRANSFORM OF X30) 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 \(f(a,b,c) = (\cos A)/(y + z)\),\(x : y : z\) = X30
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(3.266718146674\)
▸ Incident Central Lines4 lines

{3, 125}, {10, 21}, {72, 283}, {307, 1444}

▸ Functional Relations3 relations