X2279

X2-ISOCONJUGATE OF X1001

X2279 = X869-cross 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) { 9, 86 }: Central Line L(9, 86) { 41, 58 }: Central Line L(41, 58) { 56, 213 }: Central Line L(56, 213) { 1, 672 }: Central Line L(1, 672) { 31, 1438 }: Central Line L(31, 1438) { 269, 1400 }: Central Line L(269, 1400) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_9 = MITTENPUNKT (0.5110, 0.1615) X_86 = CEVAPOINT OF INCENTER AND CENTROID (0.5534, 0.2171) X_41 = -CEVA CONJUGATE OF X(31) (0.5823, 0.2244) X_58 = ISOGONAL CONJUGATE OF X(10) (0.6107, 0.2850) X_56 = EXSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.6316, 0.3438) X_213 = -CEVA CONJUGATE OF X(42) (0.6135, 0.2833) X_1 = INCENTER (0.5714, 0.2333) X_672 = CROSSDIFFERENCE OF X(1) AND X(514) (1.9245, 2.2184) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_1438 = -BETH CONJUGATE OF X(294) (0.9961, -0.1135) X_269 = ISOGONAL CONJUGATE OF X(200) (0.6369, 0.3847) X_1400 = -BETH CONJUGATE OF X(37) (0.6246, 0.3268) X_2279 = -ISOCONJUGATE OF X(1001) (0.6198, 0.3042) A B C X9 X86 X41 X58 X56 X213 X1 X672 X31 X1438 X269 X1400 X2279 (a, b, c) = (5, 6, 7) | AB = 1

X2279 (X2-ISOCONJUGATE OF X1001) 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 X1001
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(0.506321708383\)
▸ Incident Central Lines14 lines

{1, 672}, {6, 2223}, {9, 86}, {31, 1438}, {34, 2333}, {41, 58}, {56, 213}, {87, 1743}, {269, 1400}, {614, 2350}, {649, 1027}, {1055, 2163}, {1474, 2212}, {2191, 2260}

▸ Functional Relations3 relations