“observation + About ” Or “observation + On”

I want to say:

This technique is based on an observation we made about/on the theorem of …

Question: In the above sentence which one should I use, “about” or “on” or neither ?

To clarify the theorem has already exist but we made a new observation about/on the theorem.


Either is correct, and you can find current examples of both.

This American tourist’s list of observations about small-town Britain has gone surprisingly viral

A 5 year old’s observations on the Republican debate

In my opinion, “observations on” is slightly more old-fashioned and formal. Here is a Google ngrams search showing the declining use of “observation on” and the increasing use of “observation about”: https://books.google.com/ngrams/graph?content=observation+on%2Cobservation+about&year_start=1800&year_end=2000&corpus=15&smoothing=3&share=&direct_url=t1%3B%2Cobservation%20on%3B%2Cc0%3B.t1%3B%2Cobservation%20about%3B%2Cc0

Source : Link , Question Author : user153465 , Answer Author : stangdon

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