X1720

MIMOSA TRANSFORM OF X40

X1720 = X1158-Ceva conjugate of X46
< 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) { 1, 84 }: Central Line L(1, 84) { 46, 208 }: Central Line L(46, 208) { 90, 1718 }: Central Line L(90, 1718) { 846, 1047 }: Central Line L(846, 1047) { 920, 1249 }: Central Line L(920, 1249) { 1711, 1722 }: Central Line L(1711, 1722) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1158 = CIRCUMCENTER OF EXTOUCH TRIANGLE (0.5179, 0.3262) X_46 = -CEVA CONJUGATE OF X(1) (0.6917, 0.4543) X_1 = INCENTER (0.5714, 0.2333) X_84 = ISOGONAL CONJUGATE OF X(40) (0.6071, 0.6816) X_208 = -CEVA CONJUGATE OF X(34) (0.6242, -0.2728) X_90 = -CROSS CONJUGATE OF X(1) (0.1022, 0.0201) X_1718 = MIMOSA TRANSFORM OF X(36) (0.1143, 0.6999) X_846 = 4th SHARYGIN POINT (0.5437, 0.1969) X_1047 = -CEVA CONJUGATE OF X(1) (0.5281, -0.0076) X_920 = -CEVA CONJUGATE OF X(1) (0.8006, 0.5344) X_1249 = ISOGONAL CONJUGATE OF X(1073) (-0.9482, -15.9845) X_1711 = MIMOSA TRANSFORM OF X(19) (0.8600, 0.5386) X_1722 = MIMOSA TRANSFORM OF X(56) (0.8571, 0.5132) X_1720 = MIMOSA TRANSFORM OF X(40) (-0.0281, -7.2930) A B C X1158 X46 X1 X84 X208 X90 X1718 X846 X1047 X920 X1249 X1711 X1722 X1720 (a, b, c) = (5, 6, 7) | AB = 1

X1720 (MIMOSA TRANSFORM OF X40) 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 \(f(a,b,c) = - (\cos A)/x + (\cos B)/y + (\cos C)/z\),\(x : y : z\) = X40
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(1.249807009168\)
▸ Incident Central Lines8 lines

{1, 84}, {46, 208}, {90, 1718}, {846, 1047}, {920, 1249}, {1710, 1781}, {1711, 1722}, {1721, 1771}

▸ Functional Relations3 relations