6
$\begingroup$

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?

  • 2
    For $P$ 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
  • 0
    What leads you to believe that this object should have a name?2011-01-10
  • 0
    I call this a "slice" ;)2011-01-10
  • 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
  • 0
    @Day Late Don "a cleaner description": Yes, thanks!2011-01-10
  • 0
    Well, I like "Carl".2014-03-23

2 Answers 2