In 1838 astronomical instruments were precise enough for Bessel to first measure a parallax angle for a nearby star after six months of observation.  His interpretive heliocentric diagram is shown below; it is always shown in science books as proof of the Sun’s centricity.

And so it is, if one assumes that the Sun is the fixed reference point to begin with.

But this is the fallacy of petitio principii  - begging the question - assuming true what is to be proven. 

This modernist ‘tool’ of illogic will find much use later on in the 1800s with the advent of Darwinism, in support of evolutionary reasoning. 

Measurements of parallax by a viewer from the Sun would show none, according to modern science.

The second geocentric diagram below is a classic original, never shown in mainline science books, never even discussed as a possibility.  So your eyes are two of only a few that have seen it - an equally valid alternative to the heliocentric diagram, including the size of the parallax angle.