X1803

INVERSE MIMOSA TRANSFORM OF X218

X1803 cevapoint of X48 and X222
< 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) { 41, 57 }: Central Line L(41, 57) { 35, 103 }: Central Line L(35, 103) { 58, 1458 }: Central Line L(58, 1458) { 63, 1802 }: Central Line L(63, 1802) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_48 = CROSSPOINT OF X(1) AND X(63) (0.5412, 0.1246) X_222 = -CEVA CONJUGATE OF X(56) (0.5653, 0.1568) X_41 = -CEVA CONJUGATE OF X(31) (0.5823, 0.2244) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_35 = {X(1),X(3)}-HARMONIC CONJUGATE OF X(36) (0.5373, 0.1706) X_103 = ANTIPODE OF X(101) (0.7857, -0.3208) X_58 = ISOGONAL CONJUGATE OF X(10) (0.6107, 0.2850) X_1458 = -BETH CONJUGATE OF X(518) (0.8889, 0.9677) X_63 = ISOGONAL CONJUGATE OF X(19) (0.4566, 0.0823) X_1802 = INVERSE MIMOSA TRANSFORM OF X(170) (0.3991, 0.0470) X_1803 = INVERSE MIMOSA TRANSFORM OF X(218) (0.5522, 0.1412) A B C X48 X222 X41 X57 X35 X103 X58 X1458 X63 X1802 X1803 (a, b, c) = (5, 6, 7) | AB = 1

X1803 (INVERSE MIMOSA TRANSFORM OF X218) 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 \(f(a,b,c) = (\cos A)/(y + z)\),\(x : y : z\) = X218
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(-2.913026804644\)
▸ Incident Central Lines4 lines

{35, 103}, {41, 57}, {58, 1458}, {63, 1802}

▸ Functional Relations2 relations