X2606

CROSSSUM OF PU(70)

X2606 = crosspoint of PU(71)
< 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) { 1, 5 }: Feuerbach Line { 110, 1109 }: Central Line L(110, 1109) { 542, 1365 }: Central Line L(542, 1365) { 2477, 2595 }: Central Line L(2477, 2595) { 2608, 2611 }: Central Line L(2608, 2611) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1 = INCENTER (0.5714, 0.2333) X_5 = NINE-POINT CENTER (0.5561, 0.2489) X_110 = FOCUS OF KIEPERT PARABOLA (0.2516, 0.5478) X_1109 = TRILINEAR SQUARE OF X(523) (0.7246, 0.0705) X_542 = DIRECTION OF VECTOR AX + BX + CX, where X = X(98) (0.1649, 0.6534) X_1365 = BRISSE TRANSFORM OF X(110) (0.7771, 0.1231) X_2477 = EXSIMILICENTER{INCIRCLE, SINE-TRIPLE-ANGLE CIRCLE} (0.5953, 0.2101) X_2595 = CROSSSUM OF PU(68) (0.5650, 0.2411) X_2608 = TRILINEAR POLE OF PU(70) (0.5847, 0.2280) X_2611 = DIFFERENCE OF PU(71) (0.7448, 0.0628) X_2606 = CROSSSUM OF PU(70) (1.2843, -0.4943) A B C X1 X5 X110 X1109 X542 X1365 X2477 X2595 X2608 X2611 X2606 (a, b, c) = (5, 6, 7) | AB = 1

X2606 (CROSSSUM OF PU(70)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(\sin(A - B) \sin(A - C) - \sin^{2}(B - C) : :\)
Search Value (6, 9, 13): \(10.426424800563\)
▸ Incident Central Lines5 lines

{1, 5}, {110, 1109}, {542, 1365}, {2477, 2595}, {2608, 2611}

▸ Functional Relations1 relation

  • X2606 = crosspoint of PU(71)