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Issue No.04 - October-December (2002 vol.24)
pp: 10-13
<p>Three well-known algorithms, implemented separately within a span of 20 years, demonstrate the use of mathematics developed hundreds of years ago.</p>
Keith S. Reid-Green, "Three Early Algorithms", IEEE Annals of the History of Computing, vol.24, no. 4, pp. 10-13, October-December 2002, doi:10.1109/MAHC.2002.1114866
1. W.M. Newman and R.F. Sproull, Principles of Interactive Computer Graphics, 2nd ed., McGraw-Hill, New York, 1979. Jack Bresenham is currently a professor of computer science at Winthrop University. He retired from IBM as a senior technical staff member in 1987 after 27 years. He is best known for fast line and circle algorithms.
2. 1 Kings 23, Authorized (King James) Version. The verse reads: "And he made a molten sea, ten cubits from the one brim to the other: it was round all about, and his height was five cubits: and a line of thirty cubits did compass it round about." The "molten sea" is a brass vat. Its diameter is ten cubits, thus its radius is five cubits. The given circumference—the line of 30 cubits that "did compass it round about"—implies thatπ= 3, because the circumference is computed as 2πr, from 2π* 5 = 30.
3. P. Beckmann, A History of Pi, Dorset Press, New York, 1989.
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