X2716

SR(X100, X102)

X2716 = reflection of X2222 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) { 2222, 3 }: Central Line L(2222, 3) { 36, 108 }: Central Line L(36, 108) { 100, 515 }: Central Line L(100, 515) { 102, 513 }: Central Line L(102, 513) { 104, 522 }: Central Line L(104, 522) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2222 = -ISOCONJUGATE OF X(654) (0.9870, 0.2545) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_36 = INVERSE-IN-CIRCUMCIRCLE OF INCENTER (1.3333, 1.6330) X_108 = Ψ(CIRCUMCENTER, INCENTER) (0.5320, 0.6114) X_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) X_515 = ISOGONAL CONJUGATE OF X(102) (0.6804, 0.7691) X_102 = Λ(INCENTER, ORTHOCENTER) (0.6364, -0.3897) X_513 = ISOGONAL CONJUGATE OF X(100) (1.0529, -0.0806) X_104 = ANTIPODE OF X(100) (0.8571, -0.2624) X_522 = ISOGONAL CONJUGATE OF X(109) (-0.0318, 0.3430) X_2716 = SR(X(100), X(102)) (0.0130, -0.0504) A B C X2222 X3 X36 X108 X100 X515 X102 X513 X104 X522 X2716 (a, b, c) = (5, 6, 7) | AB = 1

X2716 (SR(X100, X102)) 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 = X100, U = X102
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(13.907080039006\)

X2716 lies on the circumcircle.

▸ Incident Central Lines13 lines

{1, 2720}, {3, 2222}, {36, 108}, {40, 901}, {100, 515}, {101, 2182}, {102, 513}, {104, 522}, {109, 517}, {318, 1309}, {476, 1789}, {929, 993}, {1012, 2728}

▸ Functional Relations4 relations