X1761

MIMOSA TRANSFORM OF X306

X1761 = X321-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, 27 }: Central Line L(19, 27) { 9, 46 }: Central Line L(9, 46) { 37, 171 }: Central Line L(37, 171) { 6, 986 }: Central Line L(6, 986) { 284, 758 }: Central Line L(284, 758) { 1, 1333 }: Central Line L(1, 1333) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_321 = ISOTOMIC CONJUGATE OF X(81) (0.4800, 0.1527) X_1 = INCENTER (0.5714, 0.2333) X_19 = CLAWSON POINT (0.6246, 0.4244) X_27 = CEVAPOINT OF ORTHOCENTER AND CLAWSON CENTER (0.6182, 0.4112) X_9 = MITTENPUNKT (0.5110, 0.1615) X_46 = -CEVA CONJUGATE OF X(1) (0.6917, 0.4543) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_171 = {X(2), X(31)}-HARMONIC CONJUGATE OF X(238) (0.5819, 0.2525) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_986 = INTERSECTION OF LINES X(1)X(3) AND X(8)X(38) (0.5588, 0.2101) X_284 = -CROSS CONJUGATE OF X(21) (0.5646, 0.2088) X_758 = EVEN (1, 3) INFINITY POINT (0.1821, -0.2671) X_1333 = POINT ALULA (0.6308, 0.3181) X_1761 = MIMOSA TRANSFORM OF X(306) (0.4350, 0.0384) A B C X321 X1 X19 X27 X9 X46 X37 X171 X6 X986 X284 X758 X1333 X1761 (a, b, c) = (5, 6, 7) | AB = 1

X1761 (MIMOSA TRANSFORM OF X306) 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 \(f(a,b,c) = - (\cos A)/x + (\cos B)/y + (\cos C)/z\),\(x : y : z\) = X306
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(7.198490663408\)
▸ Incident Central Lines9 lines

{1, 1333}, {6, 986}, {9, 46}, {19, 27}, {37, 171}, {40, 1503}, {284, 758}, {896, 1778}, {1158, 1766}

▸ Functional Relations3 relations