About the denomination of an elliptic arc

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The discussion focuses on the terminology for high-curvature and low-curvature arcs on an ellipse. Participants clarify that while the middle of the tightly curved sections is called vertices, the arcs themselves do not have specific names and can be referred to as vertex arcs. There is a light-hearted exchange about potential names, but the term "nomenclature" is suggested as relevant to the inquiry. Overall, the conversation emphasizes the lack of distinct terminology for these arcs in standard mathematical language. The thread concludes with a friendly tone, encouraging further exploration.
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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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.
 
You are of great help, thank you very much!
 
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.
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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