A Combination of Geometry Theorem Proving and Nonstandard Analysis with Application to Newtons Principia

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The work presents a blend of geometric and limit reasoning, which has led to interpretations of its logical clarity as ambiguous. It explores foundational concepts in physics and mathematics, laying the groundwork for classical mechanics. Newton's innovative approach and ideas have significantly influenced scientific thought, despite the challenges in understanding his reasoning style. The text remains a crucial reference for the development of modern science and mathematics.