What is it about?
The significance of indivisibles in Mengoli's new method of quadratures. We show in this chapter Mengoli's first quadratures using his master’s method of indivisibles. Although Mengoli uses a new and original arithmetic-algebraic method of quadratures, this chapter shows that his prior knowledge of the values of quadratures by the method of indivisibles plays an essential role in achieving what he set out to do.
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Why is it important?
This chapter is important because shows a new method of quadratures really based on the underlying ideas of Cavalieri's method of indivisibles and Archimedes’ method of exhaustion, combined by using algebraic tools suggested by a study of Viète.
Perspectives
I hope this article allows to know better Mengoli's new mathematics ideas, which are essential for the understanding of seventeenth century mathematics
Sra Mª Rosa Massa-Esteve
Universitat Politecnica de Catalunya
Read the Original
This page is a summary of: The Role of Indivisibles in Mengoli’s Quadratures, January 2015, Springer Science + Business Media,
DOI: 10.1007/978-3-319-00131-9_13.
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