X1767

MIMOSA TRANSFORM OF X347

X1767 = X522-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) { 19, 57 }: Central Line L(19, 57) { 3, 207 }: Central Line L(3, 207) { 46, 208 }: Central Line L(46, 208) { 108, 165 }: Central Line L(108, 165) { 109, 204 }: Central Line L(109, 204) { 63, 653 }: Central Line L(63, 653) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_522 = ISOGONAL CONJUGATE OF X(109) (-0.0318, 0.3430) X_1 = INCENTER (0.5714, 0.2333) X_19 = CLAWSON POINT (0.6246, 0.4244) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_207 = -CEVA CONJUGATE OF X(34) (0.5818, 0.9198) X_46 = -CEVA CONJUGATE OF X(1) (0.6917, 0.4543) X_208 = -CEVA CONJUGATE OF X(34) (0.6242, -0.2728) X_108 = Ψ(CIRCUMCENTER, INCENTER) (0.5320, 0.6114) X_165 = CENTROID OF THE EXCENTRAL TRIANGLE (0.4762, 0.0583) X_109 = Ψ(INCENTER, CIRCUMCENTER) (0.3636, 0.5938) X_204 = -CEVA CONJUGATE OF X(19) (0.6683, 3.3982) X_63 = ISOGONAL CONJUGATE OF X(19) (0.4566, 0.0823) X_653 = TRILINEAR POLE OF LINE X(1)X(4) (0.5097, 0.6030) X_1767 = MIMOSA TRANSFORM OF X(347) (2.7220, 22.3050) A B C X522 X1 X19 X57 X3 X207 X46 X208 X108 X165 X109 X204 X63 X653 X1767 (a, b, c) = (5, 6, 7) | AB = 1

X1767 (MIMOSA TRANSFORM OF X347) 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 \(f(a,b,c) = - (\cos A)/x + (\cos B)/y + (\cos C)/z\),\(x : y : z\) = X347
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(0.272955758158\)
▸ Incident Central Lines9 lines

{3, 207}, {19, 57}, {46, 208}, {63, 653}, {65, 1498}, {108, 165}, {109, 204}, {1158, 1712}, {1445, 1748}

▸ Functional Relations2 relations