X2276

X2-ISOCONJUGATE OF X985

X2276 = crosspoint of X2 and X1002
< 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) { 2, 37 }: Central Line L(2, 37) { 1, 39 }: Central Line L(1, 39) { 9, 43 }: Central Line L(9, 43) { 32, 35 }: Central Line L(32, 35) { 3, 172 }: Central Line L(3, 172) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_31 = 2nd POWER POINT (0.6228, 0.3008) X_2 = CENTROID (0.5374, 0.2000) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_1 = INCENTER (0.5714, 0.2333) X_39 = BROCARD MIDPOINT (0.5778, 0.2305) X_9 = MITTENPUNKT (0.5110, 0.1615) X_43 = -CEVA CONJUGATE OF X(1) (0.6358, 0.2963) X_32 = 3rd POWER POINT (0.6400, 0.3332) X_35 = {X(1),X(3)}-HARMONIC CONJUGATE OF X(36) (0.5373, 0.1706) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_172 = TRILINEAR PRODUCT X(6)*X(171) (0.6080, 0.2866) X_2276 = -ISOCONJUGATE OF X(985) (0.5757, 0.2314) A B C X6 X31 X2 X37 X1 X39 X9 X43 X32 X35 X3 X172 X2276 (a, b, c) = (5, 6, 7) | AB = 1

X2276 (X2-ISOCONJUGATE OF X985) 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 X985
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(1.602510401622\)
▸ Incident Central Lines26 lines

{1, 39}, {2, 37}, {3, 172}, {6, 31}, {8, 1107}, {9, 43}, {32, 35}, {33, 232}, {36, 574}, {44, 751}, {45, 899}, {46, 1571}, {100, 743}, {101, 753}, {187, 609}, {194, 1909}, {213, 386}, {216, 1040}, {218, 2271}, {284, 2273}, {612, 1194}, {749, 1100}, {1193, 1334}, {1400, 1403}, {1574, 1698}, {2197, 2285}

▸ Functional Relations4 relations