At the beginning of this section, it was noted that an ellipse can be drawn using two
Chapter 10, Problem 69(choose chapter or problem)
Think About It At the beginning of this section, it was noted that an ellipse can be drawn using two thumbtacks, a string of fixed length (greater than the distance between the two tacks), and a pencil (see Figure 9.16). When the ends of the string are fastened at the tacks and the string is drawn taut with a pencil, the path traced by the pencil is an ellipse.
(a) What is the length of the string in terms of a?
(b) Explain why the path is an ellipse.
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