X1711

MIMOSA TRANSFORM OF X19

X1711 = X393-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) { 9, 43 }: Central Line L(9, 43) { 1, 394 }: Central Line L(1, 394) { 46, 407 }: Central Line L(46, 407) { 90, 1039 }: Central Line L(90, 1039) { 238, 1040 }: Central Line L(238, 1040) { 1707, 1709 }: Central Line L(1707, 1709) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_393 = -CROSS CONJUGATE OF X(4) (0.6247, 0.5263) X_1 = INCENTER (0.5714, 0.2333) X_9 = MITTENPUNKT (0.5110, 0.1615) X_43 = -CEVA CONJUGATE OF X(1) (0.6358, 0.2963) X_394 = -CEVA CONJUGATE OF X(3) (0.3778, 0.0284) X_46 = -CEVA CONJUGATE OF X(1) (0.6917, 0.4543) X_407 = CROSSPOINT OF X(4) AND X(225) (0.6211, 0.4189) X_90 = -CROSS CONJUGATE OF X(1) (0.1022, 0.0201) X_1039 = ISOGONAL CONJUGATE OF X(1038) (0.6094, 0.3672) X_238 = -LINE CONJUGATE OF X(37) (1.6190, 1.4775) X_1040 = INTERSECTION OF LINES X(1)X(3) AND X(2)X(33) (0.4854, 0.0753) X_1707 = MIMOSA TRANSFORM OF X(6) (0.7574, 0.4777) X_1709 = MIMOSA TRANSFORM OF X(9) (0.5826, 0.3739) X_1711 = MIMOSA TRANSFORM OF X(19) (0.8600, 0.5386) A B C X393 X1 X9 X43 X394 X46 X407 X90 X1039 X238 X1040 X1707 X1709 X1711 (a, b, c) = (5, 6, 7) | AB = 1

X1711 (MIMOSA TRANSFORM OF X19) 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 \(f(a,b,c) = - (\cos A)/x + (\cos B)/y + (\cos C)/z\),\(x : y : z\) = X19
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(-0.818990205712\)
▸ Incident Central Lines10 lines

{1, 394}, {9, 43}, {46, 407}, {90, 1039}, {238, 1040}, {920, 1714}, {1707, 1709}, {1708, 1738}, {1720, 1722}, {1756, 1763}

▸ Functional Relations2 relations