http://mathforum.org/kb List of forum topics en http://mathforum.org/kb/thread.jspa?messageID=8250500&tstart=0#8250500
E.J. Dijkerhuis "Archimedes" (1987) page 435 discussed

(27^1/2)/3 in terms of a continuing fraction]]> Feb 5, 2013 9:23:41 AM Feb 5, 2013 9:23:41 AM milogardner@juno.com 0 http://mathforum.org/kb/thread.jspa?messageID=8248668&tstart=0#8248668
E.J. Dijkerhuis "Archimedes" (1987) page 435 discussed

(27^1/2)/3 in terms of a continuing fraction series

cited]]> Feb 4, 2013 6:29:41 PM Feb 4, 2013 6:29:41 PM milogardner@juno.com 1 http://mathforum.org/kb/thread.jspa?messageID=8248500&tstart=0#8248500
E.J. Dijkerhuis "Archimedes" page 435 discussed

(27^1/2)/3 in terms of a continuing fraction series

cited 3^1/2, 26/15,]]> Feb 4, 2013 4:29:30 PM Feb 4, 2013 4:29:30 PM milogardner@juno.com 2 http://mathforum.org/kb/thread.jspa?messageID=8248406&tstart=0#8248406
(27^1/2)/3 in terms of a continuing fraction series

cited 3^1/2, 26/15, 265/153,]]> Feb 4, 2013 3:07:40 PM Feb 4, 2013 3:07:40 PM milogardner@juno.com 3 http://mathforum.org/kb/thread.jspa?messageID=8138403&tstart=0#8138403
22/7 > pi > 223/71

1. the method scaled 22/7 by 10/10 = 220/70

2.obtained the lower limit by]]> Jan 24, 2013 10:17:05 AM Jan 24, 2013 10:17:05 AM milogardner@juno.com 4 http://mathforum.org/kb/thread.jspa?messageID=8114692&tstart=0#8114692
1. (a + b)^2 = a^2 + 2ab + b^2

in all three STEPS

and in STEP 2


2. error 1 x/y]]> Jan 20, 2013 12:53:32 PM Jan 20, 2013 12:53:32 PM milogardner@juno.com 0 http://mathforum.org/kb/thread.jspa?messageID=8091671&tstart=0#8091671
(1251/780)^2 is accurate to 1/608400 = .000001644

(265/153)^2 is accurate to 2/23409 =]]> Jan 17, 2013 2:22:08 PM Jan 17, 2013 2:22:08 PM milogardner@juno.com 1 http://mathforum.org/kb/thread.jspa?messageID=8082935&tstart=0#8082935
1. Jan 16, 2013 11:17:44 PM Jan 16, 2013 11:17:44 PM milogardner@juno.com 0 http://mathforum.org/kb/thread.jspa?messageID=8082927&tstart=0#8082927
(1271/780)^2 > 3 > (265/153)^2

A. The higher limit 1251/780 was calculated in]]> Jan 16, 2013 11:14:12 PM Jan 16, 2013 11:14:12 PM milogardner@juno.com 8