Pierre:
ISO A4 size has been topic of discusstion for over 2 decades with 'Standards
bodies'. I happen to have pointed this at Indian National Science Academy,
New Delhi way back in early 80's that: sqrt(2) existed in the measurements
of Mohenjo-Daro Great Bath, using the dimentions measures by Sir Martimer
Wheeler & Daya Ram Sawhney (his then associate).
The Broader side was 23 ft (7.0104 m), with base diagonal 46 ft ( 14.0208
m), This gave the length measure of sqrt 2 x 23 ft (9.9142 m). The height of
lablled-bath was 8 ft (2.4384 m) that made an angle of Pi/18 with skew angle
between base & height.
Was this site at Mohenjo-Daro a bth tub or an ancient Indian astronomical
observatory? My results were placed as Document # 16 in Sir Mortimer Wheeler
Commensuration Volume (1984) by Archaeological Society of India, New Delhi.
Regards,
Brij Bhushan Vij <[EMAIL PROTECTED]>
(Kali5106-W23-04)/D-265+1 (Friday)2005 Sept.23H2007(decimal) IST
Aa Nau Bhadra Kritvo Yantu Vishwatah -Rg Veda
Jan:31; Feb:29; Mar:31; Apr:30; May:31; Jun:30
Jul:30; Aug:31; Sep:30; Oct:31; Nov:30; Dec:30
(365th day of Year is World Day)
******As per Kali V-GRhymeCalendar******
Telephone: +91-11-25590335
From: Pierre Abbat <[EMAIL PROTECTED]>
Reply-To: [EMAIL PROTECTED]
To: "U.S. Metric Association" <[email protected]>
Subject: [USMA:34599] sqrt(2)
Date: Wed, 21 Sep 2005 23:58:52 -0400
I was at the aspie meetup on Monday. Another aspie showed up, and we
resumed
our previous mathematical discussion with the square root of two. (Yes, we
can spend hours discussing the square root of 2. The other diners probably
thought we were nuts.) I remarked that 297/210 is 99/70, which is a
convergent of the continued fraction expansion and thus a very close
approximation to sqrt(2) (it's 1.4142857).
Not having access to Markus Kuhn's page, we then doubled and guessed when
to
add 1, and got 1189/841, which we verified by multiplying (which we could
do
in our heads if they were wired together). He then noticed that 841 is 29
squared. 1189=41*29, and 41/29 is another convergent. You can get a
convergent from the previous one like this: 99/70=(2*29+41)/(41+29).
So A4 has the most accurate aspect ratio (as do A3 and A2), while A0 has
more
accurate area.
phma
