This constant appears in a historic problem posed by Adriaan van Roomen (Adrianus Romanus) in his Ideae mathematicae from 1593, solved by Viète. See the Havil reference, problem 1, pp. 69-74.

allocated for Wolfdieter LangDecimal expansion of 2*sin(Pi/96).

6, 5, 4, 3, 8, 1, 6, 5, 6, 4, 3, 5, 5, 2, 2, 8, 4, 1, 2, 7, 3, 1, 9, 8, 5, 2, 6, 3, 4, 5, 7, 6, 2, 5, 2, 2, 2, 9, 9, 2, 5, 2, 5, 4, 5, 0, 3, 3, 9, 2, 3, 9, 3, 7, 5, 6, 1, 9, 1, 7, 6, 7, 5, 1, 4, 6, 3, 7, 4, 7, 0, 4, 2, 6, 5, 3, 4, 7, 8, 5, 4, 5, 9, 6, 0, 4, 9, 6, 7, 0, 8, 9, 7, 2, 8, 3, 3, 7, 9, 8, 4, 9

-1,1

This constant appears in a historic problem posed by Adriaan van Roomen (Adrianus Romanus) in his Ideae mathematicae from 1593, solved by Viète. See the Havil reference, pp. 69-74.

For details see the comment under A302711.

Julian Havil, The Irrationals, A Story of the Numbers You Can't Count On, Princeton University Press, Princeton and Oxford, 2012, pp. 69-74.

The constant is 2*sin(Pi/96) = (1/2)*sqrt(2-sqrt(2+sqrt(2+sqrt(3)))).

2*sin(Pi/96) = 0.065438165643552284127319852634576252229925254503392393756191...

Cf. A302712.

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nonn,cons,easy

Wolfdieter Lang, Apr 28 2018

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allocated for Wolfdieter Lang

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