What is it about?
Analytic methods were used in seventeenth century works after Viète's and Descartes works diffussion. We have shown the introduction by Ozanam of these methods in Diophantus' Arithmetic. He introduced a connection between the algebraic solutions and what he called geometric determinations by obtaining loci from the solutions.
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Why is it important?
This article is important for the history of mathematics because this Ozanam's manuscript was lost for almost 300 years, only known by references. The article show us the influence of analytic methods in the development of seventeenth century mathematics.
Perspectives
I hope this article helps people to understand better the significance of algebrization of mathematics in seventeenth century.
Sra Mª Rosa Massa-Esteve
Universitat Politecnica de Catalunya
Read the Original
This page is a summary of: The six books of Diophantus’ Arithmetic increased and reduced to specious: the lost manuscript of Jacques Ozanam (1640–1718), Granular Matter, April 2021, Springer Science + Business Media,
DOI: 10.1007/s00407-021-00274-3.
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