- http://library.caltech.edu/publications/borrowing.htm Caltech Alumni Assoc - any CAS book 24 atan(1/8) + 8 atan(1/57) + 4 atan(1/239) = 3.141 592 653 589 793 + 1.776 356 839 400 250 5*10^-15i should be Pi 4 arctan(sin(1/23)^2 + cos(1/23)^2) Pi logb(128) = 6.999 999 999 999 999 should be 7 log(2^1024) (1024*ln(2))/ln(10) ==> 308.255... solve((1+x)/x = x, x) x = (sqrt(5)+1)/2 or x = -(sqrt(5)-1)/2 solve(x^2-x-1=0, x) x = (sqrt(5)+1)/2 or x = -(sqrt(5)-1)/2 tan(x)*cos(x) sin(x) sin(x)/tan(x) cos(x) (-2)^(1/3) (2^(1/3))/2 + (sqrt(3) * 2^(1/3))/2 * i