what connects the work of renes descartes to isaac newtons work? (5 points)\nthey both made their most…
what connects the work of renes descartes to isaac newtons work? (5 points)\nthey both made their most famous discoveries while working for the king of england.\nnewton and descartes revolutionized navigation with their research, which led to increased colonization of the americas.\ndescartes developments in analytical geometry were used by newton in his development of calculus and research into optics.\nthey collaborated in the field of mathematics, building off each others research to advance new theories.
Answer
Brief Explanations:
- Option 1: Descartes was French and did not work for the King of England.
- Option 2: While navigation advancements were important, Descartes' main contributions were in mathematics (analytical geometry) rather than navigation for colonization in the way described.
- Option 3: Descartes' work in analytical geometry (relating algebra and geometry) provided a foundation. Newton used mathematical concepts (and the mathematical groundwork in part from Descartes' analytical geometry - which connected geometric and algebraic ideas) in his development of calculus (a major mathematical tool) and in his optical research (which also had mathematical underpinnings).
- Option 4: There is no evidence of a direct collaboration between Descartes and Newton. Descartes died in 1650 and Newton was born in 1643, but their prime working years did not overlap in a way that would allow for collaboration.
Answer:
Descartes' developments in analytical geometry were used by Newton in his development of calculus and research into optics.