What is the terminology for this geometry ratio?

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Discussion Overview

The discussion revolves around the terminology related to the ratio of the parallel sides of a trapezoid, particularly in the context of geometry. Participants explore whether a specific term exists for this ratio, contrasting it with the well-known aspect ratio of rectangles.

Discussion Character

  • Exploratory, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant defines the aspect ratio of a rectangle as width/height and questions if a similar term exists for the ratio of the parallel sides of a trapezoid.
  • Another participant asserts that the ratio of the parallel sides is always unity, questioning the need for a special term.
  • A participant clarifies that they are specifically interested in trapezoids and acknowledges that they have defined their own aspect ratio for the shape.
  • There is a request for clarification on whether the inquiry is about the existence of a special name for the ratio or an equation for it.
  • One participant states they are unaware of any special term for the ratio of the parallel sides of a trapezoid.
  • Another participant suggests that the lack of a commonly recognized term may be due to the absence of widespread real-world applications for trapezoidal formats compared to rectangular formats.

Areas of Agreement / Disagreement

Participants generally do not agree on the existence of a specific term for the ratio of the parallel sides of a trapezoid, with multiple views expressed regarding its necessity and recognition.

Contextual Notes

The discussion does not resolve the question of terminology, and assumptions about the relevance of real-world applications to the naming of geometric ratios are present.

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So if we imagine a rectangle. The aspect ratio is width/height.
What if you want the ratio of the parallel sides? Is there a terminnology for that ratio?
 
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That ratio is always unity. Why would you need a special word for that?
 
Sorry, my example was a bad one. The actual shape I'm interested in is a trapezoid which I think, theoretically, does not have an aspect ratio defined, but for the purposes of my project I have one defined. If you imagine a trapezoid with the parallel sides oriented vertically, is there a ratio for the parallel sides?
 
Unclear: do you want to know whether a special name for this ratio exits, or do you want to find some equation for it?
 
The name.
 
I am not aware of any special for that.
 
Nor am I. The reason there's a name for the ratio of the length to the width of a rectangle is because TV screens, theater screens, and computer monitors are all rectangular, but can have different aspect ratios. There isn't any similar real-world use for trapezoidal image formats, so it's doubtful anyone has come up with a name.
 

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