X3190

X29-CEVA CONJUGATE OF X9

X3190 = X29-Ceva conjugate of X9
< 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, 2 }: Nagel Line { 25, 101 }: Central Line L(25, 101) { 219, 284 }: Central Line L(219, 284) { 72, 581 }: Central Line L(72, 581) { 209, 579 }: Central Line L(209, 579) { 228, 573 }: Central Line L(228, 573) 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_9 = MITTENPUNKT (0.5110, 0.1615) X_1 = INCENTER (0.5714, 0.2333) X_2 = CENTROID (0.5374, 0.2000) X_25 = HOMOTHETIC CENTER OF ORTHIC AND TANGENTIAL TRIANGLES (0.6329, 0.4497) X_101 = Ψ(INCENTER, SYMMEDIAN POINT) (0.2143, 0.5249) X_219 = -CEVA CONJUGATE OF X(55) (0.4277, 0.0625) X_284 = -CROSS CONJUGATE OF X(21) (0.5646, 0.2088) X_72 = ISOGONAL CONJUGATE OF X(28) (0.4367, 0.0733) X_581 = ORTHOHARMONIC OF X(284) (0.5657, 0.2106) X_209 = -CEVA CONJUGATE OF X(37) (0.7303, 0.4592) X_579 = HARMONIC OF X(284) (0.7212, 0.4674) X_228 = -CEVA CONJUGATE OF X(71) (0.5231, 0.1126) X_573 = ORTHOHARMONIC OF X(58) (0.4486, 0.0172) X_3190 = -CEVA CONJUGATE OF X(9) (0.7676, 0.4255) A B C X29 X9 X1 X2 X25 X101 X219 X284 X72 X581 X209 X579 X228 X573 X3190 (a, b, c) = (5, 6, 7) | AB = 1

X3190 (X29-CEVA CONJUGATE OF X9) 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 \(u : v : w\) = X9
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): \(34.342341016057\)
▸ Incident Central Lines25 lines

{1, 2}, {6, 1260}, {9, 2318}, {25, 101}, {33, 2900}, {57, 1818}, {58, 1259}, {63, 991}, {72, 581}, {100, 1754}, {109, 3173}, {197, 1630}, {209, 579}, {212, 2323}, {219, 284}, {228, 573}, {318, 2901}, {516, 2947}, {517, 3198}, {518, 1214}, {674, 3185}, {1331, 1993}, {1612, 1724}, {1897, 2052}, {2172, 2187}

▸ Functional Relations4 relations