Comment #42 on issue 93 by [email protected]: Square root denesting
http://code.google.com/p/sympy/issues/detail?id=93
Here's how that expression arose:
RegularPolygon((1,0),1,5)
RegularPolygon(Point(1, 0), 1, 5, 0)
s=_.sides[0];s
Segment(Point(sqrt(5)/4 + 3/4, sqrt(sqrt(5)/8 + 5/8)), Point(2, 0))
Line((2,3),slope=s.slope).slope, s.slope
(-sqrt(5)*sqrt(2*sqrt(5) + 5)/5, -sqrt(2*sqrt(5) + 10)/4 -
sqrt(5)*sqrt(2*sqrt(5) + 10)/20)
I'm not sure why the slopes are not the same, especially since the slope
was given during instantiation of the line. But without nsimplify or a
numerical test, those two slopes don't simplify to the same thing (and a,
b, c in the previous post are not affected by simplify). But nsimplify can
show the slopes are the same:
[nsimplify(i) for i in _]
[-sqrt(2*sqrt(5)/5 + 1), -sqrt(2*sqrt(5)/5 + 1)]
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