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[HM] Grienberger approximation of $\pi$
Posted:
May 8, 2006 12:20 PM
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Dear List,
Just before Easter, a mathematician colleague of mine approached me with a "strange" (difficult) question that was of some importance for precise reference in his ongoing research. In 1630, the Jesuit Christoph Grienberger is widely reported to have computed the decimal expansion of $\pi$ using a refined version of the method of Snell. Grienberger?s result may have been published in his Elementa trigonometrica that appeared in that year. The first question raised concerned the precision of Grienberger?s expansion sources vary in reporting either 38 or 39 correct decimal places. The second question concerned the details of Grienberger?s argument; in particular, how many details were provided in the publication. However, as we have no (current) access to the source, I venture to ask list members who may access the source or know more about it to help me answer these two questions.
Best wishes from (now sunny) Aarhus, Denmark,
Henrik Kragh Sørensen
************************** Henrik Kragh Sørensen, PhD Steno Institute - Aarhus **************************
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