Archimedes used methods involving infinitesimals to calculate areas and volumes long before the formal development of calculus.
Notes on verification
Confirmed by multiple independent, reputable sources including Britannica and Wikipedia articles on 'The Method of Mechanical Theorems' and Archimedes' use of infinitesimals. Well-corroborated historical and mathematical consensus.
Sources
- List of mathematics history topics (en.wikipedia.org)
- https://www.britannica.com/biography/Archimedes (britannica.com)
- https://arxiv.org/pdf/1205.0174 (arxiv.org)
- https://arxiv.org/pdf/1306.5973 (arxiv.org)
- https://mathshistory.st-andrews.ac.uk/Biographies/Archimedes/ (mathshistory.st-andrews.ac.uk)
- https://www.storyofmathematics.com/hellenistic_archimedes.html/ (storyofmathematics.com)