X1715

MIMOSA TRANSFORM OF X29

X1715 = crosssum of X822 and X2310
< 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, 3 }: OI Line (Incenter–Circumcenter Line) { 185, 851 }: Central Line L(185, 851) { 19, 1158 }: Central Line L(19, 1158) { 579, 1249 }: Central Line L(579, 1249) { 1020, 1068 }: Central Line L(1020, 1068) { 1708, 1712 }: Central Line L(1708, 1712) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1 = INCENTER (0.5714, 0.2333) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_185 = NAGEL POINT OF THE ORTHIC TRIANGLE (0.6033, 0.1643) X_851 = -HIRST INVERSE OF X(73) (1.4149, 2.4958) X_19 = CLAWSON POINT (0.6246, 0.4244) X_1158 = CIRCUMCENTER OF EXTOUCH TRIANGLE (0.5179, 0.3262) X_579 = HARMONIC OF X(284) (0.7212, 0.4674) X_1249 = ISOGONAL CONJUGATE OF X(1073) (-0.9482, -15.9845) X_1020 = POINT ALGEDI (0.4031, 0.5979) X_1068 = -CROSS CONJUGATE OF X(4) (0.6478, 0.5373) X_1708 = MIMOSA TRANSFORM OF X(7) (0.7332, 0.4848) X_1712 = MIMOSA TRANSFORM OF (20) (0.5990, 1.1358) X_1715 = MIMOSA TRANSFORM OF X(29) (0.7264, 0.5179) A B C X1 X3 X185 X851 X19 X1158 X579 X1249 X1020 X1068 X1708 X1712 X1715 (a, b, c) = (5, 6, 7) | AB = 1

X1715 (MIMOSA TRANSFORM OF X29) 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 \(f(a,b,c) = - (\cos A)/x + (\cos B)/y + (\cos C)/z\),\(x : y : z\) = X29
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(2.499192425285\)
▸ Incident Central Lines10 lines

{1, 3}, {4, 1730}, {19, 1158}, {185, 851}, {412, 1896}, {579, 1249}, {1020, 1068}, {1708, 1712}, {1714, 1779}, {1736, 1872}

▸ Functional Relations3 relations