How, exactly, did Tycho Brahe do his measurements of (no) stellar parallax? All the descriptions of parallax that I have been able to find seem to talk about the change in position of a nearby star compared to background stars farther away, but as far as I know the Ptolemaic system assumed that the fixed stars were all at the same distance?
I guess I am looking for a description of how parallax measurements where actually historically done at Tycho's and Copernicus's time.