I have this problem here which I can't seem to solve.

Here it is:

From the picture above, let's say that the small circle is Circle A, and the big circle is Circle B (the two cross you see are their centers).

I have to construct 5 different circles that is touching Circle A externally and Circle B internally. (using only a compass and a ruler)

I've already constructed two, (the ones where the centers of all three circles lie on a single line) but can't seem to draw the ones that aren't all on a single line.

Please help. Pictures and descriptions would be very nice.