Labeling Angles in a Triangle: A, A', A'', A'''?

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Discussion Overview

The discussion revolves around the appropriate notation for labeling multiple angles in a triangle, particularly when extending the rays to form additional angles. Participants explore different methods of denoting these angles, including the use of primes and other labeling conventions.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant suggests using A, A', A'', and A''' for labeling angles, questioning if this notation is acceptable.
  • Another participant proposes an alternative labeling system using A0, A1, A2, etc., for clarity and organization.
  • A participant mentions that naming conventions can be flexible as long as they are used consistently and clearly.
  • Concerns are raised about potential conflicts with established notation, particularly regarding the use of primes which are often associated with differentiation.
  • One participant notes that they ultimately only needed A' and A'' for their work, indicating a simplification of their original idea.

Areas of Agreement / Disagreement

Participants generally agree that consistency and clarity are important in labeling angles, but there is no consensus on a single best practice for notation. Multiple competing views on labeling methods remain.

Contextual Notes

Some participants express uncertainty about the implications of using primes in notation, particularly in relation to differentiation, which may affect clarity in communication.

Who May Find This Useful

This discussion may be useful for students or professionals in mathematics or related fields who are exploring notation conventions for angles and geometric figures.

pnorm91
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A, a'...a''?

im in the process of typing out an idea I had about triangles, and I wanted some input, but I ran into a problem when I realized I do not know how to denote multiple "prime" angles. In this diagram, I am working with the corners of a triangle, but have extended the rays outwards through their intersection so they form 4 angles including the angle from the triangle. The angle from the triangle I am calling A, but I want to sort of lump them all together, so can I call the other three A', A'', and A'''?

I have never been in a situation where this notation was neccesary so I had no idea how to label it.

thanks in advance!
 
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I don't think I'm completely understanding the question, but I would call the original ##A_0## and then derived ones as ##A_1, A_2## and so on. The next "angle group" would be the B's and then C's and so on.
 
That makes sense. I've got a buddy who's a meth major and he said you can really name them whatever you want as long as they're labeled accordingly. I just didn't know if, since we use A and A' (A prime) if we could use A''(prime prime) and A'''(prime prime prime) I didn't know if there was a sort of "best practice" for this or not. Thanks for the input!
 
Be careful. A 'meth' major could be a lot different from a 'math' major.
 
As long as you are consistent and clear, do what you want.

Be careful of conflicting notation, primes are commonly used to indicate differentiation. As long as you use it to mean only one thing you are fine.
 
SteamKing said:
Be careful. A 'meth' major could be a lot different from a 'math' major.

Lol so it could. Fortunately, even here in the meth capital of the world, he is the latter.
 
Integral said:
As long as you are consistent and clear, do what you want.

Be careful of conflicting notation, primes are commonly used to indicate differentiation. As long as you use it to mean only one thing you are fine.

That makes sense. I ended up really only needing A' and A'' so it didn't get too out of hand. The other angles were pretty insignificant. Thanks for the input everyone!
 

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