X2771–X2854

Isogonal Conjugates of Simson-Rigby SR(P, U) Points

Points on the line at infinity formed as the isogonal conjugates of the Simson-Rigby circumcircle points X2687–X2770.
< A B C >: Reference Triangle △ABC [ A B ]: Sideline AB (Base c = 1) ( A R_b ): Euclid I.22 Guide Circle (A) ( B R_a ): Euclid I.22 Guide Circle (B) [ B C ]: Sideline BC (Side a) [ C A ]: Sideline CA (Side b) circumcircle: Circumcircle of △ABC incircle: Incircle of △ABC A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) R_b = Radius Point R_b (0.8571, 0.0000) R_a = Radius Point R_a (0.2857, 0.0000) C = Vertex C (0.6122, 0.5999) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_1 = INCENTER (0.5714, 0.2333) X_2771 = ISOGONAL CONJUGATE OF X(2687) (0.8887, -0.2701) X_2772 = ISOGONAL CONJUGATE OF X(2688) (0.2300, 0.6999) X_2773 = ISOGONAL CONJUGATE OF X(2689) (1.0803, 0.4228) X_2774 = ISOGONAL CONJUGATE OF X(2690) (0.0375, -0.1074) X_2775 = ISOGONAL CONJUGATE OF X(2691) (0.1471, -0.2383) X_2777 = ISOGONAL CONJUGATE OF X(2693) (0.6437, -0.3772) X_2778 = ISOGONAL CONJUGATE OF X(2694) (0.4078, 0.7723) X_2779 = ISOGONAL CONJUGATE OF X(2695) (0.3146, 0.7429) X_2780 = ISOGONAL CONJUGATE OF X(2696) (0.9056, 0.6570) X_2782 = ISOGONAL CONJUGATE OF X(2698) (0.0900, 0.5797) X_2785 = ISOGONAL CONJUGATE OF X(2701) (1.0319, 0.5161) X_2786 = ISOGONAL CONJUGATE OF X(2702) (0.9745, 0.5916) X_2788 = ISOGONAL CONJUGATE OF X(2704) (0.2315, -0.3009) X_2790 = ISOGONAL CONJUGATE OF X(2706) (0.7449, -0.3490) X_2795 = ISOGONAL CONJUGATE OF X(2711) (0.0366, 0.5058) X_2796 = ISOGONAL CONJUGATE OF X(2712) (1.0652, -0.0566) A B C X3 X1 X2771 X2772 X2773 X2774 X2775 X2777 X2778 X2779 X2780 X2782 X2785 X2786 X2788 X2790 X2795 X2796 (a, b, c) = (5, 6, 7) | AB = 1

X2771–X2854 (Isogonal Conjugates of Simson-Rigby SR(P, U) Points) — 16 representative centers (from 84 in collection) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).