Next: 5.1 Basic Assumptions about
Up: Math 111 Calculus I
Previous: 4.3 The Pythagorean Theorem
  Index
5. Area
In chapter 2 we calculated the area of the set
where , and of the set
where .
The technique that was used for making
these
calculations can be used to find the areas of many other subsets of
.
The
general procedure we will use for finding the area of a set will be to find
two
sequences of polygons and such that
We will then have
|
(5.1) |
We will construct the polygons and so that
is
arbitrarily small when large enough, and we will see that then there is a
unique
number such that
|
(5.2) |
We will take to be the area of .
Subsections
Next: 5.1 Basic Assumptions about
Up: Math 111 Calculus I
Previous: 4.3 The Pythagorean Theorem
  Index
Ray Mayer
2007-09-07