[zdragnar]

There were definitely two sides at the time in people's minds. He could have presented the geocentric position as being based on theories that were justified only by inductive reasoning, and contrasted that with his own observations and why they provide a more accurate view of the universe.

Neutral writing only means that it is not overtly prejudiced, and the weight of the evidence speaks for itself. That's definitely not what Galileo wrote. He was eventually widely considered to be right, but that didn't help him any.