X2198

X2-ISOCONJUGATE OF X272

X2198 = crosspoint of X579 and X2352
< 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) { 31, 32 }: Central Line L(31, 32) { 37, 65 }: Central Line L(37, 65) { 72, 672 }: Central Line L(72, 672) { 9, 964 }: Central Line L(9, 964) { 101, 1780 }: Central Line L(101, 1780) { 902, 2179 }: Central Line L(902, 2179) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_579 = HARMONIC OF X(284) (0.7212, 0.4674) X_2352 = -ISOCONJUGATE OF X(1751) (0.7063, 0.4810) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_32 = 3rd POWER POINT (0.6400, 0.3332) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_65 = ORTHOCENTER OF THE INTOUCH TRIANGLE (0.6041, 0.2933) X_72 = ISOGONAL CONJUGATE OF X(28) (0.4367, 0.0733) X_672 = CROSSDIFFERENCE OF X(1) AND X(514) (1.9245, 2.2184) X_9 = MITTENPUNKT (0.5110, 0.1615) X_964 = INTERCEPT OF EULER LINE AND LINE X(6)X(8) (0.5394, 0.2050) X_101 = Ψ(INCENTER, SYMMEDIAN POINT) (0.2143, 0.5249) X_1780 = MIMOSA TRANSFORM OF X(1175) (0.7511, 0.4694) X_902 = CROSSPOINT OF X(6) AND X(106) (1.2500, 1.2247) X_2179 = -ISOCONJUGATE OF X(95) (0.6272, 0.3514) X_2198 = -ISOCONJUGATE OF X(272) (0.7141, 0.4732) A B C X579 X2352 X31 X32 X37 X65 X72 X672 X9 X964 X101 X1780 X902 X2179 X2198 (a, b, c) = (5, 6, 7) | AB = 1

X2198 (X2-ISOCONJUGATE OF X272) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\), where f(a,b,c) is as in X272
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(-0.809058501224\)
▸ Incident Central Lines6 lines

{9, 964}, {31, 32}, {37, 65}, {72, 672}, {101, 1780}, {902, 2179}

▸ Functional Relations2 relations