X2705

SR(X98, X106)

X2705 = reflection of X2712 in X3
< 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) { 2712, 3 }: Central Line L(2712, 3) { 98, 519 }: Central Line L(98, 519) { 106, 511 }: Central Line L(106, 511) { 512, 1293 }: Central Line L(512, 1293) { 727, 2080 }: Central Line L(727, 2080) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2712 = SR(X(99), X(106)) (0.1778, 0.4978) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_98 = TARRY POINT (0.8891, -0.2281) X_519 = ISOGONAL CONJUGATE OF X(106) (0.9566, 0.6107) X_106 = Λ(INCENTER, CENTROID) (1.0000, 0.0000) X_511 = ISOGONAL CONJUGATE OF X(98) (0.2335, -0.3020) X_512 = ISOGONAL CONJUGATE OF X(99) (1.0394, -0.1040) X_1293 = COLLINGS TRANSFORM OF X(121) (0.0000, 0.2041) X_727 = EVEN (- 2, -1) CIRCUMCIRCLE POINT (1.0060, 0.1685) X_2080 = INVERSE-IN-CIRCUMCIRCLE OF X(182) (1.8972, 2.4097) X_2705 = SR(X(98), X(106)) (0.8222, -0.2937) A B C X2712 X3 X98 X519 X106 X511 X512 X1293 X727 X2080 X2705 (a, b, c) = (5, 6, 7) | AB = 1

X2705 (SR(X98, X106)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where f(a,b,c) is as given just before X2677 using P = X98, U = X106
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(9.781854517977\)

X2705 lies on the circumcircle.

▸ Incident Central Lines6 lines

{3, 2712}, {98, 519}, {106, 511}, {512, 1293}, {727, 2080}, {1350, 2700}

▸ Functional Relations2 relations