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Topic: Problem #718
Replies: 3   Last Post: Mar 18, 1993 2:46 PM

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Stan Wagon

Posts: 7
Registered: 12/6/04
Problem #718
Posted: Mar 1, 1993 2:56 PM
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Problem 719:

Let S be a semicircle rising from the origin and lying on the positive
x-axis: S is the upper-half of the unit circle centered at (1, 0).
Consider also a circle, C, centered at the origin and let A, B be the
points of intersection of C with the positive y-axis and with S,
respectively. Extend the line AB rightward, letting X be its
intersection with the x-axis. What happens to X as C becomes
smaller and smaller, its radius approaching zero?

This problem is from a paper that I highly recommend:

Intuitively Misconceived Solutions to Problems by S Avital &
E Barbeau, "For tthe Learning of Mathematics", vol. 11, No. 3,
Nov. 1991, pp. 2-8.

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