X2611

DIFFERENCE OF PU(71)

X2611 = reflection of X1109 in X11
< 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) { 1109, 11 }: Central Line L(1109, 11) { 1, 60 }: Central Line L(1, 60) { 11, 523 }: Central Line L(11, 523) { 2594, 2599 }: Central Line L(2594, 2599) { 2606, 2608 }: Central Line L(2606, 2608) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1109 = TRILINEAR SQUARE OF X(523) (0.7246, 0.0705) X_11 = FEUERBACH POINT (0.7347, 0.0667) X_1 = INCENTER (0.5714, 0.2333) X_60 = ISOGONAL CONJUGATE OF X(12) (0.5790, 0.2258) X_523 = ISOGONAL CONJUGATE OF X(110) (1.0856, -0.0096) X_2594 = SUM OF PU(68) (0.5791, 0.2254) X_2599 = SUM OF PU(69) (0.5631, 0.2411) X_2606 = CROSSSUM OF PU(70) (1.2843, -0.4943) X_2608 = TRILINEAR POLE OF PU(70) (0.5847, 0.2280) X_2611 = DIFFERENCE OF PU(71) (0.7448, 0.0628) A B C X1109 X11 X1 X60 X523 X2594 X2599 X2606 X2608 X2611 (a, b, c) = (5, 6, 7) | AB = 1

X2611 (DIFFERENCE OF PU(71)) 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 \(f(A,B,C) = \csc(C - A) - \csc(B - A)\),
Barycentrics: \((\sin A)f(A,B,C) : (\sin B)f(B,C,A) : (\sin C)f(C,A,B)\)
Search Value (6, 9, 13): \(2.302309802979\)
▸ Incident Central Lines6 lines

{1, 60}, {11, 523}, {2310, 2632}, {2594, 2599}, {2606, 2608}, {2610, 2615}

▸ Functional Relations6 relations