X2309

X2-ISOCONJUGATE OF X1258

X2309 = X99-Ceva conjugate of X649
< 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, 31 }: Central Line L(6, 31) { 1, 87 }: Central Line L(1, 87) { 21, 238 }: Central Line L(21, 238) { 86, 310 }: Central Line L(86, 310) { 9, 869 }: Central Line L(9, 869) { 44, 872 }: Central Line L(44, 872) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_99 = STEINER POINT (0.1109, 0.4322) X_649 = CROSSDIFFERENCE OF X(1) and X(2) (-21.0000, 14.6969) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_1 = INCENTER (0.5714, 0.2333) X_87 = -CROSS CONJUGATE OF X(1) (0.4794, 0.1691) X_21 = SCHIFFLER POINT (0.5287, 0.1771) X_238 = -LINE CONJUGATE OF X(37) (1.6190, 1.4775) X_86 = CEVAPOINT OF INCENTER AND CENTROID (0.5534, 0.2171) X_310 = ISOTOMIC CONJUGATE OF X(42) (0.4762, 0.1536) X_9 = MITTENPUNKT (0.5110, 0.1615) X_869 = INTERSECTION OF LINES X(1)X(2) AND X(31)X(32) (0.6039, 0.2651) X_44 = -LINE CONJUGATE OF X(1) (2.1429, 2.0996) X_872 = INTERSECTION OF LINES X(37)X(42) AND X(43)X(75) (0.6029, 0.2656) X_2309 = -ISOCONJUGATE OF X(1258) (0.5819, 0.2406) A B C X99 X649 X6 X31 X1 X87 X21 X238 X86 X310 X9 X869 X44 X872 X2309 (a, b, c) = (5, 6, 7) | AB = 1

X2309 (X2-ISOCONJUGATE OF X1258) 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 X1258
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(1.428114448697\)
▸ Incident Central Lines14 lines

{1, 87}, {2, 1740}, {6, 31}, {9, 869}, {21, 238}, {37, 1964}, {44, 872}, {86, 310}, {239, 1045}, {284, 2210}, {560, 2278}, {741, 1963}, {1001, 1201}, {1911, 2298}

▸ Functional Relations5 relations