My choice of word 'defines' may not appeal many. It should be understood and read as *FIXES*. By defining 'Pi - as a/b ratio', I submit that choosing any radius, we define diameter of the circle and so does the circumference gets 'defined'. And, if Pi is to be understood as the *ratio between circumference to diameter of the circle*; Pi should be presentable in the form a/b. My exercise of investigating most values of Pi used by man have been for convinience and the value 100000/31831 (exactly), in addition, fixes radian as 57.2958 degree (or 57-degree 17-minutes 44.88-second) of arc-angle. All other values suffer from TRUNCATION.This, is the only value that defines both 'Pi and Radian'. Yes, the value for Pi repeat all by itself after 5244th decimal place.
This can be called, yet another (may be, exact) approximation for Pi.
Regards,
Brij Bhushan Vij <[EMAIL PROTECTED]>
Aa Nau Bhadra Kritvo Yantu Vishwatah -Rg Veda.
*****The New Calendar Rhyme*****
Thirty days in July, September:
April, June, November, December;
All the rest have thirty-one; accepting February alone:
Which hath but twenty-nine, to be (in) fine;
Till leap year gives the whole week READY:
Is it not time to MODIFY or change to make it perennial, Oh Daddy!
And make the calendar work with Leap Week Rule! ***** ***** ***** *****
From: "Joseph B. Reid" <[EMAIL PROTECTED]> Reply-To: [EMAIL PROTECTED] To: "U.S. Metric Association" <[EMAIL PROTECTED]> Subject: [USMA:26357] Re: Grad Date: Tue, 15 Jul 2003 14:13:14 -0400
Brij Bhushan Vij wrote in USMA 26350:
This, is the only value that defines both 'Pi and Radian'. Yes, the value for Pi repeat all by itself after 5244th decimal place.
Wrong! Pi is an irrational number and does not repeat. In the Palais de la D�couverte in Paris the interior of the dome is decorated with the first thousand digits. It has been a hobby with supercomputerrs when they have idle time to set them to work to add more digits to the value of pi. The last time I heard, pi had been calculated to about 20 000 digits. -- Joseph B. Reid 17 Glebe Road West Toronto M5P 1C8 Telephone 416-486-6071
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