X1819

INVERSE MIMOSA TRANSFORM OF X1498

X1819 = X1792-Ceva conjugate of X283
< 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) { 9, 21 }: Central Line L(9, 21) { 3, 49 }: Central Line L(3, 49) { 58, 1167 }: Central Line L(58, 1167) { 40, 1817 }: Central Line L(40, 1817) { 271, 1792 }: Central Line L(271, 1792) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1792 = INVERSE MIMOSA TRANSFORM OF X(20) (0.3324, 0.0321) X_283 = -CROSS CONJUGATE OF X(21) (0.4475, 0.0704) X_9 = MITTENPUNKT (0.5110, 0.1615) X_21 = SCHIFFLER POINT (0.5287, 0.1771) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_49 = CENTER OF SINE-TRIPLE-ANGLE CIRCLE (0.6275, 0.1789) X_58 = ISOGONAL CONJUGATE OF X(10) (0.6107, 0.2850) X_1167 = 1st SARAGOSSA POINT OF X(34) (0.5172, 0.1910) X_40 = BEVAN POINT (0.4286, -0.0292) X_1817 = INVERSE MIMOSA TRANSFORM OF X(1249) (0.4482, -0.0335) X_271 = ISOGONAL CONJUGATE OF X(208) (1.1546, 2.8606) X_1819 = INVERSE MIMOSA TRANSFORM OF X(1498) (0.3214, -0.0056) A B C X1792 X283 X9 X21 X3 X49 X58 X1167 X40 X1817 X271 X1819 (a, b, c) = (5, 6, 7) | AB = 1

X1819 (INVERSE MIMOSA TRANSFORM OF X1498) 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 \(f(a,b,c) = (\cos A)/(y + z)\),\(x : y : z\) = X1498
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(4.028615973922\)
▸ Incident Central Lines5 lines

{3, 49}, {9, 21}, {40, 1817}, {58, 1167}, {271, 1792}

▸ Functional Relations1 relation