You're welcome!(F) Thanks in advance (F)
So, I can simply say I want to define a new angle measurement and call it "wajed" and define it as the length of the radius over the distance between the two ends of the rays that form the angle, right?None, because there is no further dept to the answer. At some point, some guy said "Wouldn't it be cool to define a new quantity, the "angle" as the ratio S/R?"
And that's all there is to it.
There is no a priori relation between what we call an "angle" and phenomena taking place in the physical world. That is to say, there is nothing to "test" the formula S/R against. It is not a theory that can to proved right or wrong; it is simply an abstraction of our mind.
Yes, No (sorry) I mean "wajed"= R/S, where S is the distance between the blah blah blah (not the arc-length), but this still holds, so Thank you anyway :DYou mean "wajed"= R/S ?
Sure.
but if I want to go further and ask such question: "how do you know that this equation holds and is 100% correct?", what field of mathematics should I study to be able to answer that question?
Hi wajed!So, I can simply say I want to define a new angle measurement and call it "wajed" and define it as the length of the radius over the distance between the two ends of the rays that form the angle, right?