X2650

SUM OF PU(81)

X2650 = reflection of X2292 in X1
< 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) { 2292, 1 }: Central Line L(2292, 1) { 1, 21 }: Central Line L(1, 21) { 42, 65 }: Central Line L(42, 65) { 72, 756 }: Central Line L(72, 756) { 78, 750 }: Central Line L(78, 750) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2292 = -ISOCONJUGATE OF X(1169) (0.5509, 0.2064) X_1 = INCENTER (0.5714, 0.2333) X_21 = SCHIFFLER POINT (0.5287, 0.1771) X_42 = CROSSPOINT OF INCENTER AND SYMMEDIAN POINT (0.5880, 0.2495) X_65 = ORTHOCENTER OF THE INTOUCH TRIANGLE (0.6041, 0.2933) X_72 = ISOGONAL CONJUGATE OF X(28) (0.4367, 0.0733) X_756 = CROSSPOINT OF X(10) AND X(37) (0.5409, 0.1988) X_78 = ISOGONAL CONJUGATE OF X(34) (0.3835, 0.0491) X_750 = INTERSECTION OF LINES X(1)X(88) AND X(2)X(31) (0.5675, 0.2354) X_2650 = SUM OF PU(81) (0.5919, 0.2602) A B C X2292 X1 X21 X42 X65 X72 X756 X78 X750 X2650 (a, b, c) = (5, 6, 7) | AB = 1

X2650 (SUM OF PU(81)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(1/(\cos A + \cos B) + 1/(\cos A + \cos C) : :\)
Search Value (6, 9, 13): \(1.115010525537\)
▸ Incident Central Lines22 lines

{1, 21}, {6, 2294}, {40, 2177}, {42, 65}, {72, 756}, {78, 750}, {145, 740}, {221, 2099}, {244, 942}, {326, 969}, {354, 1201}, {500, 517}, {512, 764}, {526, 1769}, {651, 2647}, {661, 2653}, {1002, 1432}, {1104, 2308}, {1409, 2171}, {1419, 2263}, {1480, 1482}, {1858, 2310}

▸ Functional Relations8 relations