X3191

X29-CEVA CONJUGATE OF X10

X3191 = X29-Ceva conjugate of X10
< 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, 6 }: Incenter–Symmedian Line { 28, 101 }: Central Line L(28, 101) { 40, 228 }: Central Line L(40, 228) { 329, 581 }: Central Line L(329, 581) { 201, 758 }: Central Line L(201, 758) { 568, 1153 }: Central Line L(568, 1153) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_29 = CEVAPOINT OF INCENTER AND ORTHOCENTER (0.5903, 0.3384) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_1 = INCENTER (0.5714, 0.2333) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_28 = CEVAPOINT OF X(19) AND X(25) (0.6285, 0.4382) X_101 = Ψ(INCENTER, SYMMEDIAN POINT) (0.2143, 0.5249) X_40 = BEVAN POINT (0.4286, -0.0292) X_228 = -CEVA CONJUGATE OF X(71) (0.5231, 0.1126) X_329 = ISOTOMIC CONJUGATE OF X(189) (0.3847, -0.0222) X_581 = ORTHOHARMONIC OF X(284) (0.5657, 0.2106) X_201 = -CEVA CONJUGATE OF X(12) (0.4897, 0.1062) X_758 = EVEN (1, 3) INFINITY POINT (0.1821, -0.2671) X_568 = ORTHOHARMONIC OF X(50) (0.6437, 0.3393) X_1153 = CENTER OF THE VAN LAMOEN CIRCLE (0.5098, 0.1559) X_3191 = -CEVA CONJUGATE OF X(10) (0.7266, 0.4176) A B C X29 X10 X1 X6 X28 X101 X40 X228 X329 X581 X201 X758 X568 X1153 X3191 (a, b, c) = (5, 6, 7) | AB = 1

X3191 (X29-CEVA CONJUGATE OF X10) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(u(-u/x + v/y + w/z) : v(u/x - v/y + w/z) : w(u/x + v/y - w/z)\), where \(x : y : z\) = X29 and \(u : v : w\) = X10
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\), where \(f(a,b,c) = u(-u/x + v/y + w/z)\)
Search Value (6, 9, 13): \(-221.167529104386\)
▸ Incident Central Lines11 lines

{1, 6}, {28, 101}, {33, 2901}, {40, 228}, {201, 758}, {329, 581}, {568, 1153}, {943, 2328}, {1331, 3193}, {1824, 2910}, {1896, 1897}

▸ Functional Relations1 relation