X1746

MIMOSA TRANSFORM OF X261

< 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) { 2, 572 }: Central Line L(2, 572) { 4, 580 }: Central Line L(4, 580) { 57, 1111 }: Central Line L(57, 1111) { 515, 1006 }: Central Line L(515, 1006) { 27, 1730 }: Central Line L(27, 1730) { 92, 1726 }: Central Line L(92, 1726) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2 = CENTROID (0.5374, 0.2000) X_572 = ORTHOGONAL OF X(58) (7.2953, -0.6907) X_4 = ORTHOCENTER (0.6122, 0.3958) X_580 = ORTHOGONAL OF X(284) (0.7089, 0.4470) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_1111 = TRILINEAR SQUARE OF X(514) (0.7470, 0.0849) X_515 = ISOGONAL CONJUGATE OF X(102) (0.6804, 0.7691) X_1006 = INTERCEPT OF EULER LINE AND LINEX(9)X(48) (0.5190, 0.1517) X_27 = CEVAPOINT OF ORTHOCENTER AND CLAWSON CENTER (0.6182, 0.4112) X_1730 = MIMOSA TRANSFORM OF X(86) (0.6546, 0.4410) X_92 = CEVAPOINT OF INCENTER AND CLAWSON POINT (0.5949, 0.3639) X_1726 = MIMOSA TRANSFORM OF X(75) (0.5578, 0.3872) X_1746 = MIMOSA TRANSFORM OF X(261) (0.5754, 0.3762) A B C X2 X572 X4 X580 X57 X1111 X515 X1006 X27 X1730 X92 X1726 X1746 (a, b, c) = (5, 6, 7) | AB = 1

X1746 (MIMOSA TRANSFORM OF X261) 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 \(f(a,b,c) = - (\cos A)/x + (\cos B)/y + (\cos C)/z\),\(x : y : z\) = X261
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(-7.561460510243\)
▸ Incident Central Lines8 lines

{2, 572}, {4, 580}, {27, 1730}, {57, 1111}, {92, 1726}, {333, 1764}, {515, 1006}, {946, 1203}

▸ Functional Relations1 relation