X1404

X44-BETH CONJUGATE OF X44

X1404 = X1319-Ceva conjugate of X902
< 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) { 6, 41 }: Central Line L(6, 41) { 57, 89 }: Central Line L(57, 89) { 35, 572 }: Central Line L(35, 572) { 59, 672 }: Central Line L(59, 672) { 44, 1319 }: Central Line L(44, 1319) { 42, 1397 }: Central Line L(42, 1397) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_44 = -LINE CONJUGATE OF X(1) (2.1429, 2.0996) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_41 = -CEVA CONJUGATE OF X(31) (0.5823, 0.2244) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_89 = ISOGONAL CONJUGATE OF X(45) (0.5963, 0.2697) X_35 = {X(1),X(3)}-HARMONIC CONJUGATE OF X(36) (0.5373, 0.1706) X_572 = ORTHOGONAL OF X(58) (7.2953, -0.6907) X_59 = ISOGONAL CONJUGATE OF X(11) (0.5333, 0.4355) X_672 = CROSSDIFFERENCE OF X(1) AND X(514) (1.9245, 2.2184) X_1319 = BEVAN-SCHRÖDER POINT (0.9524, 0.9331) X_42 = CROSSPOINT OF INCENTER AND SYMMEDIAN POINT (0.5880, 0.2495) X_1397 = -BETH CONJUGATE OF X(31) (0.6524, 0.4026) X_1404 = -BETH CONJUGATE OF X(44) (0.5590, 0.1678) A B C X44 X6 X41 X57 X89 X35 X572 X59 X672 X1319 X42 X1397 X1404 (a, b, c) = (5, 6, 7) | AB = 1

X1404 (X44-BETH CONJUGATE OF X44) 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 \(f(a,b,c) = (1 - \cos A)u(a,b,c)\), where \(u : v : w\) = X44
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(-0.197443979856\)
▸ Incident Central Lines9 lines

{6, 41}, {35, 572}, {42, 1397}, {44, 1319}, {57, 89}, {59, 672}, {217, 1409}, {649, 854}, {651, 1429}

▸ Functional Relations4 relations