X1784

MIMOSA TRANSFORM OF X1294

X1784 = crossdifference of every pair of points on line X48X822
< 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, 29 }: Central Line L(1, 29) { 4, 79 }: Central Line L(4, 79) { 36, 243 }: Central Line L(36, 243) { 240, 522 }: Central Line L(240, 522) { 451, 498 }: Central Line L(451, 498) { 484, 653 }: Central Line L(484, 653) 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_29 = CEVAPOINT OF INCENTER AND ORTHOCENTER (0.5903, 0.3384) X_4 = ORTHOCENTER (0.6122, 0.3958) X_79 = ISOGONAL CONJUGATE OF X(35) (0.5976, 0.3019) X_36 = INVERSE-IN-CIRCUMCIRCLE OF INCENTER (1.3333, 1.6330) X_243 = -LINE CONJUGATE OF X(73) (0.7516, 0.9505) X_240 = -LINE CONJUGATE OF X(48) (0.7457, 0.8594) X_522 = ISOGONAL CONJUGATE OF X(109) (-0.0318, 0.3430) X_451 = -HIRST INVERSE OF X(424) (0.5621, 0.2645) X_498 = YFF CONCURRENT CONGRUENT CIRCLES POINT (0.5518, 0.2140) X_484 = 1st EVANS PERSPECTOR (2.0952, 3.0327) X_653 = TRILINEAR POLE OF LINE X(1)X(4) (0.5097, 0.6030) X_1784 = MIMOSA TRANSFORM OF X(1294) (0.6867, 0.8743) A B C X1 X29 X4 X79 X36 X243 X240 X522 X451 X498 X484 X653 X1784 (a, b, c) = (5, 6, 7) | AB = 1

X1784 (MIMOSA TRANSFORM OF X1294) 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 \(f(a,b,c) = - (\cos A)/x + (\cos B)/y + (\cos C)/z\),\(x : y : z\) = X1294
Search Value (6, 9, 13): \(1.057066901721\)
▸ Incident Central Lines10 lines

{1, 29}, {4, 79}, {36, 243}, {240, 522}, {318, 1698}, {451, 498}, {484, 653}, {920, 1712}, {1118, 1479}, {1478, 1857}

▸ Functional Relations6 relations