[USMA:29563] Fw: Pi value Re: Re: Brij's Mean Lunation & Cycle of Neros

[Mighty Chimp]

From Rowlett;   radian (rad) a unit of angle measure widely used in mathematics and science. One radian is the angle at the center of a circle that cuts off an arc of length equal to the radius. Since the circumference equals 2 pi times the radius, one radian equals 1/(2 pi) of the circle, or approximately 57.295 779�. Using radians to measure angles seems unnatural at first. However, when angles are stated in radians the constant pi tends to disappear from the equations, and this greatly simplifies calculation. For example, the length of an arc is simply its radius multiplied by its angular measure in radians, and the area of a sector of a circle is simply its angular measure in radians multiplied by half the square of the radius. The radian was defined and named by James Thomson in 1873. Thomson was a mathematics professor at Queens College, Belfast, Northern Ireland, and the brother of the famous physicist William Thomson, Lord Kelvin.     Note:  The radian is defined as above in bold blue.  No further defining is necessary.   Your statement:   > >BUT the point I wished to make is: If either Radian or Pi is NOT expressed *exactly* there got to be some sort of  - operator constant - to satisfy the statement: > >A CIRCLE HAS 2* Pi* RADIANS.   This is pure nonsense.  The value of pi (π)is unending.  It can NEVER be exact, even if it had an infinite number of digits to the right of the decimal point.  Now, explain to me why we need π to be exact beyond a few decimal places?  Do you know the concept of SIGNIFICANT DIGITS?       pi (π) a very famous mathematical unit. The circumference of a circle is equal to pi multiplied by the diameter, so pi is equal to the ratio between the circumference and diameter of a circle, any circle. It turns out that pi is an irrational number, which means that its decimal expansion is nonterminating and nonrepeating. To 25 significant digits, pi equals 3.141 592 653 589 793 238 462 643. The Swiss mathematician Leonhard Euler (1707-1783) adopted the lower case Greek letter pi (π) for this ratio in 1737; although he was not the first to use it, he popularized it through his many mathematical writings. Pi sometimes appears to be a unit of angle measure equal to pi radians or 180�. This is because mathematicians regard angle measurement as dimensionless (length divided by length) and therefore omit the unit "radians".     Read the above definition in bold blue over and over again until it sinks in.  π is NOT defined by a number.  It is defined as a RATIO.  The value usually associated with that ratio is irrational.  The accuracy of the number obtained is determined from usage.  More digits past the decimal does not increase the accuracy of a calculation.  Massive amounts of non-significant digits for pi is just a curiosity, not a necessity.    By not understanding the basic concepts or definitions you are taking this issue into regions it need not go.  A frivolous waste of time and effort.   Euric     ----- Original Message ----- From: "Brij Bhushan Vij" <[EMAIL PROTECTED]> To: <[EMAIL PROTECTED]> Sent: Saturday, 2004-04-17 06:51 Subject: FW: Pi value Re: Re: Brij's Mean Lunation & Cycle of Neros > Euric: > Your disagreement can remain at its place. Forwarding this mail for your interest! > > 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: "Brij Bhushan Vij" <[EMAIL PROTECTED]> > >To: [EMAIL PROTECTED], [EMAIL PROTECTED] > >Subject: Pi value Re: Re: Brij's Mean Lunation & Cycle of Neros > >Date: Sat, 17 Apr 2004 10:34:20 +0000 > > > >Amos, sir: > >I thank you for this. If you have gone through the table for values of Pi processed by me, you would note that Alkashi's value is included as item 6; and the Leibniz Series at item 7 - altough these were not expanded. Admitted that I did not have these fuller values. Even sqrt 10 is good enough for the Pi value. > > > >BUT the point I wished to make is: If either Radian or Pi is NOT expressed *exactly* there got to be some sort of  - operator constant - to satisfy the statement: > >A CIRCLE HAS 2* Pi* RADIANS. > > > >Ture, the value 3*111/106 =3.141509433962264 1509433962264 1509, repeats at 16th decimal; nor does it specify Radian as an exact angle (as related to degrees, which is 57.2972972972972972972972972972973). The radian works to 57-degree 17' 50".2702702703. > > > >My value of Pi=100000/31831 (exactly) fixes Radian at (57.2958 degree or 57-degree 17' 44".88) and when this value for Pi is run throufgh a computer it REPEATS all by itself after 5244th decimal. I have called it YET another value that SATISFY any calculations; and fulfils the definition for Pi & radian. This can, possibly, solve the riddle 'Squaring the area of a circle'. > > > >Brij Bhushan Vij <[EMAIL PROTECTED]> > >20040417H1607(decimal) PM(IST) > >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: [EMAIL PROTECTED] > >>To: [EMAIL PROTECTED] > >>Subject: Re: Re: Brij's Mean Lunation & Cycle of Neros > >>Date: Sat, 17 Apr 2004 12:49:52 +0300 > >> > >>You certainly did not include ALL values of approximations of pi ever made!   On one end, the table does not include > >>the most obvious value, 3.  On the other hand, there have been published values of millions or even a billion digits > >>(if I recall correctly). > >> > >>An interesting one is the Biblical value, which allegedly is 3, but hidden in the text is the value 3*111/106 (I can dig > >>up a reference if you're still interested in that) > >> > >>----------------------------------------------------------------------- > >>Walla! Mail, Get Your Private, Free E-mail from Walla! at: > >>http://mail.walla.co.il > >> > > > >