X1781

MIMOSA TRANSFORM OF X1214

X1781 = X226-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) { 1, 19 }: Central Line L(1, 19) { 9, 46 }: Central Line L(9, 46) { 35, 37 }: Central Line L(35, 37) { 71, 484 }: Central Line L(71, 484) { 165, 846 }: Central Line L(165, 846) { 169, 1046 }: Central Line L(169, 1046) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_226 = -CEVA CONJUGATE OF X(65) (0.5778, 0.2588) X_1 = INCENTER (0.5714, 0.2333) X_19 = CLAWSON POINT (0.6246, 0.4244) X_9 = MITTENPUNKT (0.5110, 0.1615) X_46 = -CEVA CONJUGATE OF X(1) (0.6917, 0.4543) X_35 = {X(1),X(3)}-HARMONIC CONJUGATE OF X(36) (0.5373, 0.1706) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_71 = ISOGONAL CONJUGATE OF X(27) (0.4807, 0.0915) X_484 = 1st EVANS PERSPECTOR (2.0952, 3.0327) X_165 = CENTROID OF THE EXCENTRAL TRIANGLE (0.4762, 0.0583) X_846 = 4th SHARYGIN POINT (0.5437, 0.1969) X_169 = -CEVA CONJUGATE OF X(1) (0.5497, 0.2510) X_1046 = -CEVA CONJUGATE OF X(1) (0.6500, 0.3366) X_1781 = MIMOSA TRANSFORM OF X(1214) (0.5847, 0.2809) A B C X226 X1 X19 X9 X46 X35 X37 X71 X484 X165 X846 X169 X1046 X1781 (a, b, c) = (5, 6, 7) | AB = 1

X1781 (MIMOSA TRANSFORM OF X1214) 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 \(f(a,b,c) = - (\cos A)/x + (\cos B)/y + (\cos C)/z\),\(x : y : z\) = X1214
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(0.826331737645\)
▸ Incident Central Lines11 lines

{1, 19}, {6, 1718}, {9, 46}, {35, 37}, {57, 1723}, {71, 484}, {165, 846}, {169, 1046}, {281, 1478}, {1710, 1720}, {1765, 1768}

▸ Functional Relations2 relations