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Math Forum » Discussions » Math Topics » geometry.pre-college.independent

Topic: Trapezoid definition
Replies: 26   Last Post: Oct 7, 2004 11:51 PM

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Jon Marshall

Posts: 1
Registered: 12/10/04
The trapezoid-triangle-line rule?
Posted: Aug 9, 2000 5:23 PM
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Beating a dead horse, not even the accepted inclusive definition of
trapezoid saves us from degenerate cases in the integration rule. If
one or more of the endpoints of a subinterval of the partition is a
zero of the function, you get a triangle or a horizontal line for the
representative area. The benefits of an inclusive definition
generally seem to be for mathematical or organizational elegance,
whereas an exclusive definition can afford quick, concise
communication. Both are worthy goals in their own situations.

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