X2707

SR(X98, X108)

X2707 = reflection of X2714 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) { 2714, 3 }: Central Line L(2714, 3) { 107, 425 }: Central Line L(107, 425) { 98, 521 }: Central Line L(98, 521) { 108, 511 }: Central Line L(108, 511) { 512, 1295 }: Central Line L(512, 1295) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2714 = SR(X(99), X(108)) (0.9365, 0.3665) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_107 = Ψ(SYMMEDIAN POINT, ORTHOCENTER) (0.5733, 0.6071) X_425 = -HIRST INVERSE OF X(21) (0.8561, 1.0339) X_98 = TARRY POINT (0.8891, -0.2281) X_521 = ISOGONAL CONJUGATE OF X(108) (1.1224, 0.1534) X_108 = Ψ(CIRCUMCENTER, INCENTER) (0.5320, 0.6114) X_511 = ISOGONAL CONJUGATE OF X(98) (0.2335, -0.3020) X_512 = ISOGONAL CONJUGATE OF X(99) (1.0394, -0.1040) X_1295 = COLLINGS TRANSFORM OF X(123) (0.4680, -0.4072) X_2707 = SR(X(98), X(108)) (0.0635, -0.1624) A B C X2714 X3 X107 X425 X98 X521 X108 X511 X512 X1295 X2707 (a, b, c) = (5, 6, 7) | AB = 1

X2707 (SR(X98, X108)) 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 = X108
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(14.004850518016\)

X2707 lies on the circumcircle.

▸ Incident Central Lines6 lines

{3, 2714}, {98, 521}, {107, 425}, {108, 511}, {512, 1295}, {2193, 2715}

▸ Functional Relations2 relations