An edge is a straight line as part of a polygon.
It can also be the straight line joining two faces of a solid which has polygonal faces.
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A Ruler
The length of the edge of a circle.
A segment is part of a circle created by drawing a line from a point on the edge to another point on the edge.
A straight edge or a ruler are used to construct straight lines.
The length of a math book can be defined in two ways: the physical length of the book or the number of pages contained in the book. In the first case, the length of the book would usually be considered the distance from the top edge to the bottom edge of the book and this would vary depending on the specific book you were considering. In the second case, you could open the book to the last page and examine the final page number and use that as the number of pages.