Like for example, it's common to use the Greek letter $\theta$ to represent an angle right? So what would a Greek person doing math use to represent an angle? Would they also use $\theta$? Or is there another notation that they would use in order for them to use their letters like we do? Such as if we say $A\geq B$, would a Greek student, mathematician, or whoever say: $\alpha \geq \beta$ or is there something else they say? It just seems like the Greek letters from a non-Greek point of view have so much meaning to us, but then how do they percieve their letters used in mathematics?
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The Greeks seems to use the Latin letters together with Greek letters as the rest of us. Here is a screen dump from some notes on Functional analysis. Of course this is just an example.
In my experience with Greeks, they set $a = \alpha$ and $b=\beta$ etc... however, the Greeks I knew were beyond associating a concept with a letter, so perhaps these are not the Greeks which you seek.
I do recall many conversations of the form: "is it "a" or is it "$\alpha$"" to which I would inevitably get the annoyed retort: "yes".