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Let S be a semicircle...
Posted:
Mar 1, 1993 2:56 PM


Problem 719:
Let S be a semicircle rising from the origin and lying on the positive xaxis: S is the upperhalf 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 yaxis and with S, respectively. Extend the line AB rightward, letting X be its intersection with the xaxis. 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. 28.



