**From:** D. F. Siemens, Jr. (*dfsiemensjr@juno.com*)

**Date:** Thu Jun 05 2003 - 16:42:04 EDT

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On Thu, 5 Jun 2003 12:27:55 -0400 "bivalve"

<bivalve@mail.davidson.alumlink.com> writes:

*> Actually, I think the Indiana legislature proposal claimed pi was 4.
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*> If I remember correctly, it was promoted as producing much more
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*> lumber out of a log than the standard value. It was not based on
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*> the Biblical text in any way. The History of Pi is at home, though.
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*> As the author would gladly have seized on a chance to attack any
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*> attempt at using I Kings as a guide to pi, it seems safe to assume
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*> that there is no evidence for such a mistake.
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*>
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I dug out my file and noted reference to both 4 and 3.2, and the

possibility of rounding to 3 (note the rounding in the text below).

Edward J. Goodwin was a physician who published "Quadrature of the

Circle" in /American Mathematical Monthly/, 1:246f (July 1894). I present

the text of House Bill No. 246, Indiana State Legislature, 1897, so

anyone may try to figure out the value.

A bill for an act introducing a new mathematical truth and offered as a

contribution to education to be used only in the State of Indiana free of

cost by paying any royalties whatever on the same, provided it is

accepted and adopted by the official action of the legislature of 1897.

Section 1. Be it enacted by the General Assembly of the State of Indiana:

It has been found that a circular area is to the square on a line equal

to the quadrant of the circumference, as the area of an equilateral

rectangle is to the square of one side. The diameter employed as the

linear unit according to the present rule in computing the circle's area

is entirely wrong, as it represents the circle's area one and one-fifth

times the area of a square whose perimeter is equal to the circumference

of the circle. This is because one fifth of the diameter fails to be

represented four times in the circle's circumference. For example: if we

multiply the perimeter of a square by one-fourth of any line one-fifth

greater than one side, we can in like manner make the square's area to

appear one fifth greater than the fact, as is done by taking the diameter

for the linear unit instead of the quadrant of the circle's

circumference.

Section 2. It is impossible to compute the area of a circle using the

diameter as the linear unit without trespassing upon the area outside of

the circle to the extent of including one-fifth more area than is

contained within the circle's circumference, because the square on the

diameter produces the side of a square which equals nine when the area of

ninety degrees equals eight. By taking the quadrant of the circle's

circumference for the linear unit, we fulfil the requirements of both

quadrature and rectification of the circle's circumference. Furthermore,

it has revealed the ratio of the chord and arc of ninety degrees, which

is as seven to eight, and also the ratio of the diagonal and one side of

the square, which is as ten to seven, disclosing the fourth important

fact, that the ratio of the diameter and circumference is as five fourths

to four; and because of these facts and the further fact that the rule in

present use fails to work both ways mathematically, it should be

discarded as wholly wanting and misleading in practical applications.

Section 3. In further proof of the value of the author's proposes

contribution to education, and offered as a gift to the State of Indiana,

is the fact of his solutions of the trisection of the angle, duplication

of the cube and quadrature of the circle having been already accepted as

contributions to science by the American Mathematical Monthly, the

leading exponent of mathematical thought in this country. And be it

remembered that these noted problems had been long since given up by

scientific bodies as unsolvable mysteries and above man's ability to

comprehend.

This bill has been erroneously declared simultaneous with the Tennessee

Scopes trial.

Dave

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