X3208

X55-CEVA CONJUGATE OF X9

X3208 = {X1,X1018}-harmonic conjugate of X3501
< 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) { 8, 9 }: Central Line L(8, 9) { 1, 39 }: Central Line L(1, 39) { 145, 672 }: Central Line L(145, 672) { 192, 1423 }: Central Line L(192, 1423) { 43, 2176 }: Central Line L(43, 2176) { 2340, 3158 }: Central Line L(2340, 3158) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_55 = INSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.5490, 0.1921) X_9 = MITTENPUNKT (0.5110, 0.1615) X_8 = NAGEL POINT (0.4694, 0.1333) X_1 = INCENTER (0.5714, 0.2333) X_39 = BROCARD MIDPOINT (0.5778, 0.2305) X_145 = ANTICOMPLEMENT OF NAGEL POINT (0.6735, 0.3333) X_672 = CROSSDIFFERENCE OF X(1) AND X(514) (1.9245, 2.2184) X_192 = -CEVA CONJUGATE OF X(2) (CONGRUENT PARALLELIANS POINT) (0.6147, 0.2635) X_1423 = -BETH CONJUGATE OF X(192) (0.6537, 0.3692) X_43 = -CEVA CONJUGATE OF X(1) (0.6358, 0.2963) X_2176 = -ISOCONJUGATE OF X(87) (0.6513, 0.3282) X_2340 = -ISOCONJUGATE OF X(1462) (-1.1481, -1.4515) X_3158 = -CEVA CONJUGATE OF X(9) (0.6726, 0.2916) X_3208 = -CEVA CONJUGATE OF X(9) (0.5991, 0.2213) A B C X55 X9 X8 X1 X39 X145 X672 X192 X1423 X43 X2176 X2340 X3158 X3208 (a, b, c) = (5, 6, 7) | AB = 1

X3208 (X55-CEVA CONJUGATE OF X9) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \((b + c - a)(bc - ab - ac) : :\) (M. Iliev, 5/13/2007)
Search Value (6, 9, 13): \(0.842896496256\)
▸ Alternate Coordinates1 form

  • Trilinears: \((b + c) (a - b) (a - c) - a b c : :\)

▸ Incident Central Lines7 lines

{1, 39}, {8, 9}, {43, 2176}, {145, 672}, {192, 1423}, {2340, 3158}, {3057, 3061}

▸ Functional Relations2 relations