5. Area

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

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) |

- 5.1 Basic Assumptions about Area
- 5.2 Further Assumptions About Area
- 5.3 Monotonic Functions
- 5.4 Logarithms.
- 5.5 Brouncker's Formula For
- 5.6 Computer Calculation of Area