1. The problem statement, all variables and given/known data Greetings everyone! I would like to know, how to calculate the intersection point of two cycloids. 2. Relevant equations The equations of the cycloid are the following: x=r(t-sin(t)) y=r(1-cos(t)) 3. The attempt at a solution I tried to solve it by myself, but I was'nt able to do it. I did a research on the a topic, and I found that, the equations of the cycloids are transcendent, so it takes infinite steps to solve them. But I can't imagine, that there is no solution for this problem. Can I get a little help with this? Thanks in advance!