X2714

SR(X99, X108)

X2714 = reflection of X2707 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) { 2707, 3 }: Central Line L(2707, 3) { 99, 521 }: Central Line L(99, 521) { 108, 512 }: Central Line L(108, 512) { 109, 810 }: Central Line L(109, 810) { 511, 1295 }: Central Line L(511, 1295) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2707 = SR(X(98), X(108)) (0.0635, -0.1624) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_99 = STEINER POINT (0.1109, 0.4322) X_521 = ISOGONAL CONJUGATE OF X(108) (1.1224, 0.1534) X_108 = Ψ(CIRCUMCENTER, INCENTER) (0.5320, 0.6114) X_512 = ISOGONAL CONJUGATE OF X(99) (1.0394, -0.1040) X_109 = Ψ(INCENTER, CIRCUMCENTER) (0.3636, 0.5938) X_810 = CROSSPOINT OF X(1) AND X(163) (3.1222, -0.5010) X_511 = ISOGONAL CONJUGATE OF X(98) (0.2335, -0.3020) X_1295 = COLLINGS TRANSFORM OF X(123) (0.4680, -0.4072) X_2714 = SR(X(99), X(108)) (0.9365, 0.3665) A B C X2707 X3 X99 X521 X108 X512 X109 X810 X511 X1295 X2714 (a, b, c) = (5, 6, 7) | AB = 1

X2714 (SR(X99, 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 = X99, U = X108
Search Value (6, 9, 13): \(-0.440124729624\)

X2714 lies on the circumcircle.

▸ Incident Central Lines5 lines

{3, 2707}, {99, 521}, {108, 512}, {109, 810}, {511, 1295}

▸ Functional Relations4 relations