For what it's worth when I took my driving test in ~1999 they were called rotaries but the dynamics and physical layout was more like roundabouts from your pdf. i.e. If properly entered there was no 'weave' area, it's just that there always seemed to be multiple cars in the rotary with no clue causing weaving. Ironically I've been back to that area recently and it's been physically changed and now looks much more like the rotary layout in your pdf.

The "rotaries" I knew of in Massachusetts were all actually roundabouts in terms of their physical layout and traffic rules governing them.