First drawing of a Cartesian Graph?

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Discussion Overview

The discussion revolves around the historical origins of Cartesian graphs, specifically the contributions of Isaac Newton and René Descartes. Participants explore the timeline and context of their works, examining whether Newton created a Cartesian graph before Descartes formalized the concept.

Discussion Character

  • Historical, Debate/contested

Main Points Raised

  • One participant recalls seeing a drawing by Newton that may represent an early Cartesian graph but cannot locate it.
  • Another participant argues that Descartes, who is believed to have invented Cartesian coordinates, likely used them first, suggesting that Newton's work came later.
  • A third participant notes that Descartes' work influenced Newton, leading to changes in the title of Newton's Principia, but questions whether Newton's drawings included a scale or labeled axes.
  • A later reply acknowledges a mistake regarding Descartes' dates, indicating uncertainty about historical details.
  • One participant suggests that Newton's discussions on polar coordinates in his Method of Fluxions may have been confused with Cartesian graphs.

Areas of Agreement / Disagreement

Participants express differing views on the timeline and contributions of Newton and Descartes regarding Cartesian graphs, indicating that the discussion remains unresolved.

Contextual Notes

There are limitations regarding the accuracy of historical dates and the specifics of the drawings referenced, as well as the definitions of what constitutes a Cartesian graph.

Scott S
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OK, so a LONG time ago I believe I saw a small drawing by Newton which represented the first true drawing of a Cartesian graph with an x and y-axis and "O" at the origin.
Now (that I'm old and can't remember what I had for breakfast) I'd like to find it but can't remember where it was.

Any help would be greatly appreciated.

Thanks.
 
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I thought Descartes came up with Cartesian coordinates after Newton was dead. If not, then he (Newton) was getting close. Since Descartes invented the system, it seems likely that HE was the first to use it. Of course Newton WAS a smart guy so he may have done something similar before Descartes formalized it. I suspect one of our math whizzes will have a better grasp of this history than I do.
 
At least it is possible since Descartes' (1596 - 1650) work caused Newton (1643 - 1727) to change the title of his Principia to Philosophiae Naturalis Principia Mathematica.
There are several drawings in it which can be regarded as a coordinate system. However, I didn't found a scale or a label ##x##.

As the title of Newton's magnum opus, Philosophiæ Naturalis Principia Mathematica (Mathematical Principles of Natural Philosophy), suggests, he intended his work to be in dialogue with Descartes's Principia Philosophiae (Principles of Philosophy, 1644), a complex text that includes discussions of everything from the laws of nature to the nature of God's causal influence on the world. Just as Descartes had sought to replace Aristotelian or “Scholastic” methods and doctrines in natural philosophy, Newton sought his work to replace Descartes's. It is therefore more historically accurate and more illuminating to interpret Newton within the historical stream of natural philosophy.
Source: http://plato.stanford.edu/entries/Newton-philosophy/
 
fresh_42 said:
At least it is possible since Descartes' (1596 - 1650) ...
ACK ! Boy was I ever off on the dates for Descartes. Oh well, history is not my strong suit. o:)
 
Newton has been talking about polar coordinates in his Method of Fluxions..probably you mixed it up with cartesian graph
 

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