Geometry in the Age of Enlightenment

TL;DR

This paper explores the historical development of differential and algebraic geometry from the 17th to the 18th century, highlighting key mathematical advances during the Enlightenment period.

Contribution

It provides a detailed historical analysis of how geometric concepts evolved during the Enlightenment, emphasizing the transition from classical to modern geometry.

Findings

Identifies key milestones in the development of differential geometry.

Highlights the influence of Enlightenment ideas on geometric thought.

Shows the progression from classical to algebraic geometry.

Abstract

This paper describes the evolution of aspects of differential and algebraic gometry from the mid 17th century till the end of the 18th century.