X1815

INVERSE MIMOSA TRANSFORM OF X910

X1815 = cevapoint of X219 and X1818
< 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, 77 }: Central Line L(9, 77) { 103, 110 }: Central Line L(103, 110) { 86, 648 }: Central Line L(86, 648) { 394, 1260 }: Central Line L(394, 1260) { 326, 1332 }: Central Line L(326, 1332) { 219, 1804 }: Central Line L(219, 1804) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_219 = -CEVA CONJUGATE OF X(55) (0.4277, 0.0625) X_1818 = INVERSE MIMOSA TRANSFORM OF X(1282) (-0.1296, -0.2419) X_9 = MITTENPUNKT (0.5110, 0.1615) X_77 = ISOGONAL CONJUGATE OF X(33) (0.5270, 0.1305) X_103 = ANTIPODE OF X(101) (0.7857, -0.3208) X_110 = FOCUS OF KIEPERT PARABOLA (0.2516, 0.5478) X_86 = CEVAPOINT OF INCENTER AND CENTROID (0.5534, 0.2171) X_648 = TRILINEAR POLE OF EULER LINE (0.4563, 0.5855) X_394 = -CEVA CONJUGATE OF X(3) (0.3778, 0.0284) X_1260 = ISOGONAL CONJUGATE OF X(1119) (0.3557, 0.0365) X_326 = ISOTOMIC CONJUGATE OF X(158) (0.3354, 0.0219) X_1332 = ORTHOCORRESPONDENT OF X(100) (-0.2317, 0.1866) X_1804 = INVERSE MIMOSA TRANSFORM OF X(223) (0.4495, 0.0488) X_1815 = INVERSE MIMOSA TRANSFORM OF X(910) (0.6272, -0.0629) A B C X219 X1818 X9 X77 X103 X110 X86 X648 X394 X1260 X326 X1332 X1804 X1815 (a, b, c) = (5, 6, 7) | AB = 1

X1815 (INVERSE MIMOSA TRANSFORM OF X910) 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 \(f(a,b,c) = (\cos A)/(y + z)\),\(x : y : z\) = X910
Search Value (6, 9, 13): \(3.302731554561\)
▸ Alternate Coordinates1 form

  • Trilinears: \((\cot A)/(a^{2} - b^{2} \cos C - c^{2} \cos B) : :\)

▸ Incident Central Lines6 lines

{9, 77}, {86, 648}, {103, 110}, {219, 1804}, {326, 1332}, {394, 1260}

▸ Functional Relations2 relations