Notes and Bibliography
Notes:
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"Also he made a molten sea of ten cubits from brim
to brim, round in compass, and five cubits the height thereof; and a line
of thirty cubits did compass it round about." (II Chronicles 4:2) Some
authors claim this passage as evidence that the ancient Hebrews used a
value of 3 for pi. This passage occurs as part of a description of the
building of Solomon's temple, and all the measurements in it are very round
numbers, so perhaps this was not meant to be more than a rough estimate.
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Around the turn of the century the Indiana legislature,
in a fit of piety, tried to pass a law mandating the value of pi to be
3, citing the biblical passage quoted above as proof of the correct value.
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Heath, T.L. (ed.), The Works of Archimedes (Dover
Edition, 1953), 93-98. Original published 1897, Cambridge University Press.
Heath's translations of Archimedes and Euclid are still generally considered
the standard today.
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The Thirteen Books of Euclid's Elements, trans.
by Sir Thomas L. Heath, p. ??? Cambridge University Press, 1957.
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The Works of Archimedes, op. cit., p. ???
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Intermediate steps, supplied by Eutocius for the most
part, are shown in Heath's translation enclosed in square brackets.
Bibliography