X1710

MIMOSA TRANSFORM OF X10

< 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) { 30, 40 }: Central Line L(30, 40) { 19, 91 }: Central Line L(19, 91) { 35, 228 }: Central Line L(35, 228) { 46, 407 }: Central Line L(46, 407) { 1, 1437 }: Central Line L(1, 1437) { 28, 1725 }: Central Line L(28, 1725) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_40 = BEVAN POINT (0.4286, -0.0292) X_19 = CLAWSON POINT (0.6246, 0.4244) X_91 = ISOGONAL CONJUGATE OF X(47) (-0.0865, -0.0205) X_35 = {X(1),X(3)}-HARMONIC CONJUGATE OF X(36) (0.5373, 0.1706) X_228 = -CEVA CONJUGATE OF X(71) (0.5231, 0.1126) X_46 = -CEVA CONJUGATE OF X(1) (0.6917, 0.4543) X_407 = CROSSPOINT OF X(4) AND X(225) (0.6211, 0.4189) X_1 = INCENTER (0.5714, 0.2333) X_1437 = -BETH CONJUGATE OF X(283) (0.5584, 0.1373) X_28 = CEVAPOINT OF X(19) AND X(25) (0.6285, 0.4382) X_1725 = MIMOSA TRANSFORM OF X(74) (0.9993, 0.7957) X_1710 = MIMOSA TRANSFORM OF X(10) (0.5948, 0.4057) A B C X30 X40 X19 X91 X35 X228 X46 X407 X1 X1437 X28 X1725 X1710 (a, b, c) = (5, 6, 7) | AB = 1

X1710 (MIMOSA TRANSFORM OF X10) 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 \(f(a,b,c) = - (\cos A)/x + (\cos B)/y + (\cos C)/z\),\(x : y : z\) = X10
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(-1.984307088820\)
▸ Incident Central Lines10 lines

{1, 1437}, {19, 91}, {28, 1725}, {30, 40}, {35, 228}, {46, 407}, {109, 1825}, {1046, 1777}, {1720, 1781}, {1770, 1782}

▸ Functional Relations1 relation