X2961

EXCENTRAL-ISOGONAL CONJUGATE OF X200

X2961 is the excentral-isogonal conjugate of X200.
< 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) { 40, 238 }: Central Line L(40, 238) { 46, 516 }: Central Line L(46, 516) { 1, 1037 }: Central Line L(1, 1037) { 4, 1773 }: Central Line L(4, 1773) { 57, 1721 }: Central Line L(57, 1721) { 672, 1723 }: Central Line L(672, 1723) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_497 = CROSSPOINT OF GERGONNE POINT AND NAGEL POINT (0.5593, 0.1851) X_1 = INCENTER (0.5714, 0.2333) X_40 = BEVAN POINT (0.4286, -0.0292) X_238 = -LINE CONJUGATE OF X(37) (1.6190, 1.4775) X_46 = -CEVA CONJUGATE OF X(1) (0.6917, 0.4543) X_516 = ISOGONAL CONJUGATE OF X(103) (0.7703, 0.7386) X_1037 = CEVAPOINT OF X(55) AND X(56) (0.5823, 0.2853) X_4 = ORTHOCENTER (0.6122, 0.3958) X_1773 = MIMOSA TRANSFORM OF X(1038) (0.5873, 0.2890) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_1721 = MIMOSA TRANSFORM OF X(55) (0.6494, 0.4136) X_672 = CROSSDIFFERENCE OF X(1) AND X(514) (1.9245, 2.2184) X_1723 = MIMOSA TRANSFORM OF X(57) (0.7970, 0.5012) X_2961 = EXCENTRAL-ISOGONAL CONJUGATE OF X(200) (0.5482, 0.1222) A B C X497 X1 X40 X238 X46 X516 X1037 X4 X1773 X57 X1721 X672 X1723 X2961 (a, b, c) = (5, 6, 7) | AB = 1

X2961 (EXCENTRAL-ISOGONAL CONJUGATE OF X200) 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) is as described just before X2883
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(6.654944762384\)
▸ Incident Central Lines9 lines

{1, 1037}, {4, 1773}, {40, 238}, {46, 516}, {57, 1721}, {672, 1723}, {990, 1717}, {1253, 1718}, {1699, 1781}

▸ Functional Relations2 relations