The funniest thing about the Carnot Ratio Clapeyron Ratio is that Carnot did not author it.

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This chapter should be named Benoit Pierre Emile Clapeyron, but no one would recognize it.
Possibly if he had fewer names he would have gotten the credit he earned.

Who is Benoit Pierre Emile Clapeyron?

Multiple sources credit him with first attempt to author the Work Ratio, commonly miss-known as the "Carnot Ratio".

One online source is A CONCISE HISTORY OF THERMODYNAMICS.

Clapeyron's work was refined after Clausius published Laws 1 and 2 of Thermodynamics in 1840. The refined version is explained on a following page in this chapter.

 

 

What did Sadi Carnot say about The "Ratio"?

Nothing.

"Reflections" no where mentions the concept of temperature ratios, or any claim of temperature ratios limiting efficiency.

In "Reflections" Lord Kelvin credits Clapeyron with the graphical method he uses and other unnamed contributions. The editor credits Clapeyron with the "discovery" of Carnot's first work in French, which was eventually taken up by Lord Kelvin.

The famous ratio is attributed first to Benoit Pierre Emile Clapeyron, according to an the biography of JOSIAH WILLARD GIBB in http://www.thermohistory.org/historyoverview.pdf.

Apologies for the sparsity of the reference. It is an excerpt of Clapeyron's work from an excerpt of a different person's biology. FuelScience.org would welcome reference to Clapeyron's original work, as well as to properly credit it's refinement to the form shown on the next page.