Let P be a point, not the center, in the interior of a (round) disk D⊂ℝ² and let A and B be points on ∂D such that the line segments AP and BP have equal length. Choose an arc AB. What's the shape bounded by the arc and the two segments called?
name of a shape
6
$\begingroup$
geometry
terminology
euclidean-geometry
circles
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2For $P$ at the center, that's a "sector". ( http://en.wikipedia.org/wiki/Circular_sector ) I don't know of a name for $P$ elsewhere. How about "pseudo-sector" or "generalized sector"? (BTW, this might be a cleaner description: Given P on the diameter bisecting arc AB, the figure bounded by AP, BP, and arc AB.) – 2011-01-10
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0What leads you to believe that this object should have a name? – 2011-01-10
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0I call this a "slice" ;) – 2011-01-10
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0@Jasper Loy "By '(round) disk' do you simply mean circle", well, a circle is one-dimensional; I meant the thing it bounds. – 2011-01-10
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0@Day Late Don "a cleaner description": Yes, thanks! – 2011-01-10
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0Well, I like "Carl". – 2014-03-23