Here I thought Arkie was a fundamentalist/traditionalist who fatfingered in
CCCLV divided by CXIII and CXCIII by LXXI on his GO34 in order to insert
constants into his equations.
73, Dave, N3HE

"Richard Harrison" wrote in message
...

SNIP
Archimedes inscribed the largest regular polygon ithat would fit inside
a circle. Next he drew outside the circle a similar regular polygon
touching the circle on all sides and having its sides parallel to the
polygon sides inside the circle. Then he increased the number of sides
of his polygons until they totaled 96. He decided a 96-side,
equal-sided, figure was close enough to a circle for practical purposes.
He also knew that a real circle would have a circumference somewhere
between the circumferences of his inside and outside polygons. Also, the
circumferences of his inside and outside figures were very nearly the
same anyway.

The tape measure must not have yet been invented, so Archimedes must
have measured the sides of his figures with a straight ruler. He used
the sums of the polygon sides to arrive at the circumference of his
figures. From these constructions and measurements, Archimedes arrived
at a figure of 3.1416 for the ratio of circumference to the diameter of
a circle (pi). That`s still close enough for most purposes to this very
day.
SNIP

Best regards, Richad Harrison, KB5WZI