1. Given the difference of the squares on two lines and their rectangle; find the lines.
2. Divide a given line, so that the rectangle contained by another given line and one segment may be equal to the square on the other segment.
Questions for Examination on Book II.
1. What is the subject-matter of Book II.? Ans. Theory of rectangles.
2. What is a rectangle? A gnomon?
3. What is a square inch? A square foot? A square perch? A square mile? Ans. The square described on a line whose length is an inch, a foot, a perch, &c.
4. What is the difference between linear and superficial measurement? Ans. Linear measurement has but one dimension; superficial has two.
5. When is a line said to be divided internally? When externally?
6. How is the area of a rectangle found?
7. How is a line divided so that the rectangle contained by its segments may be a maximum?