Final answer:
Rene Descartes, a green geometer, founded a philosophical society called the Academy of Geometers to study mathematics.
Step-by-step explanation:
The green geometer who founded a philosophical society dedicated to the study of mathematics was Rene Descartes. Descartes was a prominent French mathematician, philosopher, and scientist of the 17th century. His philosophical society, known as the Academy of Geometers, aimed to explore the nature of reality and the foundations of knowledge through the study of mathematics.
Learn more about Rene Descartes and the Academy of Geometers