X1762

MIMOSA TRANSFORM OF X307

X1762 = X1441-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) { 30, 40 }: Central Line L(30, 40) { 9, 440 }: Central Line L(9, 440) { 55, 846 }: Central Line L(55, 846) { 65, 1046 }: Central Line L(65, 1046) { 71, 1654 }: Central Line L(71, 1654) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1441 = -BETH CONJUGATE OF X(313) (0.5459, 0.2242) 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_30 = EULER INFINITY POINT (0.7469, 0.7481) X_40 = BEVAN POINT (0.4286, -0.0292) X_9 = MITTENPUNKT (0.5110, 0.1615) X_440 = COMPLEMENT OF X(27) (0.4970, 0.0943) X_55 = INSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.5490, 0.1921) X_846 = 4th SHARYGIN POINT (0.5437, 0.1969) X_65 = ORTHOCENTER OF THE INTOUCH TRIANGLE (0.6041, 0.2933) X_1046 = -CEVA CONJUGATE OF X(1) (0.6500, 0.3366) X_71 = ISOGONAL CONJUGATE OF X(27) (0.4807, 0.0915) X_1654 = 1st HATZIPOLAKIS PARALLELIAN POINT (0.5055, 0.1656) X_1762 = MIMOSA TRANSFORM OF X(307) (0.5223, 0.2162) A B C X1441 X1 X19 X27 X30 X40 X9 X440 X55 X846 X65 X1046 X71 X1654 X1762 (a, b, c) = (5, 6, 7) | AB = 1

X1762 (MIMOSA TRANSFORM OF X307) 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 \(f(a,b,c) = - (\cos A)/x + (\cos B)/y + (\cos C)/z\),\(x : y : z\) = X307
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(2.072373668113\)
▸ Incident Central Lines11 lines

{9, 440}, {10, 1782}, {19, 27}, {30, 40}, {55, 846}, {57, 1723}, {65, 1046}, {71, 1654}, {169, 1708}, {209, 1757}, {1812, 1959}

▸ Functional Relations3 relations