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Search: id:A122775
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| A122775 |
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The angle, in degrees, for which Ozanam's approximation is exact. |
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+0
1
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| 3, 3, 2, 3, 9, 5, 6, 5, 7, 8, 6, 0, 5, 6, 6, 1, 5, 6, 0, 0, 6, 4, 2, 1, 0, 0, 1, 8, 8, 3
(list; cons; graph; listen)
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OFFSET
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2,1
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COMMENT
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Ozanam's approximation states that in any right-angled triangle the number of degrees in the smallest angle is very nearly equal to the smallest side times 172 divided by the other side plus twice the hypotenuse. The approximation is remarkably accurate and for the angle 33.239565... degrees the approximation is exact.
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REFERENCES
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R. A. Johnson, Determination of an angle of a right triangle, without tables, Amer. Math. Monthly, Vol 27, No. 10, Oct 1920, pp. 368, 369.
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EXAMPLE
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33.23956578605... degrees.
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CROSSREFS
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Sequence in context: A129309 A003560 A123676 this_sequence A086632 A038699 A064655
Adjacent sequences: A122772 A122773 A122774 this_sequence A122776 A122777 A122778
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KEYWORD
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nonn,cons
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AUTHOR
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Julian Havil (julian.havil(AT)ntlworld.com), Jun 25 2007
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