Review Suggested Edit

How did 'the better to —' semantically shift to mean 'So as to — better'? 

I screenshot [Collins](https://www.collinsdictionary.com/dictionary/english/the-better-to-do-something) and [Lexico](https://www.lexico.com/definition/the_better_to_%25e2%2580%2594). 

![Image alt text](https://languages.codidact.com/uploads/xTKh7c3WjbDe5qfkb8hYvHLV)

Let's treat this like a math problem. How exactly does "the better to —" =  'So as to — better'? Please show all steps between these two expressions.