Nice. I had long wanted to read Lucretius' work and try and understand his philosophy/arguments. But a couple of translations that i looked at were in verse form and hence i did not followup on it. I am less interested in his poetry/form and more in his ideas. Maybe i should start with the book that you mention.
The Swerve: How the World Became Modern - https://en.wikipedia.org/wiki/The_Swerve
De rerum natura - https://en.wikipedia.org/wiki/De_rerum_natura
PS: I just submitted this which you might also find interesting - https://news.ycombinator.com/item?id=47295304
If you're only interested in his ideas, The Swerve summarizes them on pages 185-199 (1st edition).
That certainly is helpful; a TLDR of his ideas before tackling his work in entirety (a rather difficult endeavour).
A quick Google search gave me exactly what you pointed out i.e. Chapter 8, Pages 182-202 which somebody had uploaded.