2 papers
math.HO2005
Integer Triangles with R/r=N
Allan J. MacLeod
We consider the problem of finding integer-sided triangles with R/r an integer, where R and r are the radii of the circumcircle and incircle respectively. We show that such triangl…
math.NT1999
A simple practical higher descent for large height rational points on certain elliptic curves
Allan J. Macleod
We consider the practical computation of rational points on y^2=x(x^2+ax+b). The algebra necessary for a 4-descent procedure is described. A simple further descent is then describe…