Let r > a > 0 be real numbers. Let c = a + r, d = sqrt(r^2-a^2). Then, it is obvious that 2*a*c=c^2-d^2. However, sage crashes when trying to check this with a and r rather "simple" algebraic numbers.
I've found this while using sage to solve elementary geometric problems involving circles and intersection of circles, i. e. algebraic numbers which can be written using only square roots. The capacity of working over the field AA is one of my favourite features of sage, so I was disappointed when I found this easy example which (apparently) cannot be worked out by sage. I would like to know if I'm missing something or there is some other way to deal with these computations. (The trouble persists in QQbar) Here is the code: a=AA(sqrt(sqrt(5))) r=AA(sqrt((AA(sqrt(13))-a)^2+3)) c=a+r d= AA(sqrt(r^2-a^2)) 2*a*c == c^2 - d^2 -- You received this message because you are subscribed to the Google Groups "sage-devel" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-devel+unsubscr...@googlegroups.com. To post to this group, send email to sage-devel@googlegroups.com. Visit this group at https://groups.google.com/group/sage-devel. For more options, visit https://groups.google.com/d/optout.
