About the denomination of an elliptic arc

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In summary, the high-curvature arc and low-curvature arc on an ellipse do not have special names. The middle of the curved portion is referred to as a vertex, but the arc itself is simply called a vertex arc. There is no specific nomenclature for these arcs.
  • #1
lionelwang
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Hi all,

Does anyone know the specific names of the high-curvature arc and the low-curvature arc on an ellipse? Or, do they have special names after all?
Anyone help me figure this out, thank you very much!
Regards.
 
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  • #2
219994.image1.jpg

The middle of the tightly curved bits are called vertices, but the curved bit itself has no special name.
You'd refer to it as a vertex arc.
 
  • #3
You are of great help, thank you very much!
 
  • #4
I was wondering if maybe the arcs could be episcopalian and dominican ... but figured that wasn't what you meant :) I think the word you were looking for is "nomenclature".

No worries - have fun.
 
  • #5


I can confirm that the high-curvature arc and low-curvature arc on an ellipse do not have specific names. They are simply referred to as the high-curvature arc and low-curvature arc. However, in some mathematical contexts, they may be referred to as the major arc and minor arc respectively. I hope this helps clarify your question. Thank you.
 

FAQ: About the denomination of an elliptic arc

What is an elliptic arc?

An elliptic arc is a portion of an ellipse, which is a type of curved shape that is formed when a plane intersects a cone at a slight angle. It can also be described as a curved line that is part of an ellipse.

What is the significance of the denomination of an elliptic arc?

The denomination of an elliptic arc refers to the measure of its length, which is typically denoted by the letter "s". This measurement is important in various mathematical calculations and geometric constructions.

How is the denomination of an elliptic arc calculated?

The denomination of an elliptic arc can be calculated using various mathematical formulas, depending on the specific characteristics of the arc. Some common methods include using the arc's central angle, radius, and eccentricity.

What is the difference between denomination and eccentricity in an elliptic arc?

Denomination refers to the length of an elliptic arc, while eccentricity refers to the shape of the ellipse that the arc is a part of. The eccentricity of an ellipse is a measure of how elongated or flattened the ellipse is, and it can affect the length of the elliptic arc.

What real-world applications use the concept of denomination in elliptic arcs?

The concept of denomination in elliptic arcs is commonly used in various fields such as mathematics, engineering, and physics. It can be applied in calculating the length of orbits and trajectories of objects in space, designing curved structures, and developing computer graphics.

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