X1760

MIMOSA TRANSFORM OF X305

X1760 = X561-Ceva conjugate of X1
< 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) { 19, 27 }: Central Line L(19, 27) { 1, 82 }: Central Line L(1, 82) { 240, 255 }: Central Line L(240, 255) { 326, 610 }: Central Line L(326, 610) { 190, 1766 }: Central Line L(190, 1766) { 1820, 1821 }: Central Line L(1820, 1821) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_19 = CLAWSON POINT (0.6246, 0.4244) X_27 = CEVAPOINT OF ORTHOCENTER AND CLAWSON CENTER (0.6182, 0.4112) X_1 = INCENTER (0.5714, 0.2333) X_82 = ISOGONAL CONJUGATE OF X(38) (0.5943, 0.2703) X_240 = -LINE CONJUGATE OF X(48) (0.7457, 0.8594) X_255 = ISOGONAL CONJUGATE OF X(158) (0.4217, 0.0365) X_326 = ISOTOMIC CONJUGATE OF X(158) (0.3354, 0.0219) X_610 = -CEVA CONJUGATE OF X(1) (0.4310, -0.2713) X_190 = YFF PARABOLIC POINT (0.0748, 0.3999) X_1766 = MIMOSA TRANSFORM OF X(345) (0.3896, -0.1193) X_1820 = ISOGONAL CONJUGATE OF MIMOSA TRANSFORM OF X(264) (-0.0663, -0.0078) X_1821 = ISOGONAL CONJUGATE OF MIMOSA TRANSFORM OF X(287) (0.8340, -0.1768) X_1760 = MIMOSA TRANSFORM OF X(305) (0.3719, -0.0901) A B C X19 X27 X1 X82 X240 X255 X326 X610 X190 X1766 X1820 X1821 X1760 (a, b, c) = (5, 6, 7) | AB = 1

X1760 (MIMOSA TRANSFORM OF X305) 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 \(f(a,b,c) = a^{4} - b^{4} - c^{4}\) (M. Iliev, 5/13/07)
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(11.158854364353\)
▸ Incident Central Lines6 lines

{1, 82}, {19, 27}, {190, 1766}, {240, 255}, {326, 610}, {1820, 1821}

▸ Functional Relations9 relations