  This paper consists of a translation of Andre Tacquet's discussion of the
question of sizes of stars in a heliocentric universe, as published in his
posthumous Opera Mathematica of 1668, along with introductory material and
analysis. While Robert Hooke mentions Tacquet as one of the "great
Anti-copernicans", who argued the question of star sizes against the
heliocentric theory with "great vehemency and insulting", Tacquet's discussion
has received only scant attention. The kernel of Tacquet's argument is that the
absence of any detectable parallax in the stars, combined with the measured
apparent sizes of the stars, means that, in a heliocentric universe, the sizes
of stars compare to the size of Earth's orbit via the same proportion that they
compare to the size of the Earth in a geocentric universe. The translated
material presents this argument in a straightforward manner, insulting absent.
