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111 Years Ago, Indiana Almost Legislated Pi

Posted by kdawson on Wednesday February 06, @05:19AM
from the squaring-the-circle dept.
I Don't Believe in Imaginary Property writes "On February 5, 1897, 111 years ago today, the Indiana legislature very nearly passed a bill 'introducing a new mathematical truth,' that would have erroneously established pi as the ratio 'five-fourths to four' or 3.2. The story explaining the rationale behind the bill and how they were prevented from legislating it when a real mathematician intervened is quite interesting, because the man who discovered the 'new mathematical truth' wanted to charge royalties, which could have made pi the first form of irrational property."

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  • Blashphemy ! (Score:5, Funny)

    by Ihlosi (895663) on Wednesday February 06, @05:25AM (#22318916)
    How _could_ they even think about committing such an act. Everybody knows that pi = 3. It's in the Bible, after all.


    Then again, maybe I'll patent 22/7 as a good way to approximate pi. I heard that intellectual property is all the rage nowadays.

    • Re:Blashphemy ! (Score:5, Interesting)

      by arotenbe (1203922) on Wednesday February 06, @05:45AM (#22318990)

      Then again, maybe I'll patent 22/7 as a good way to approximate pi.
      The scary thing is that you could probably actually get the patent with 339/108.
    • Re:Blashphemy ! (Score:5, Interesting)

      by frup (998325) on Wednesday February 06, @06:05AM (#22319066)
      thats because pi to 4 decimals is 666/212 so therefore anything close real pi is of course the devils work. (I can't believe I just stumbled on something more accurate than 22/7 by accident while trying to make a real lame joke)
    • Re:Blashphemy ! (Score:5, Funny)

      by notabaggins (1099403) on Wednesday February 06, @06:05AM (#22319068)

      Then again, maybe I'll patent 22/7 as a good way to approximate pi. I heard that intellectual property is all the rage nowadays.
      Hm... no, you need a process. Those are what all the cool corporations do. Patent the process of "dividing two, common whole numbers for the purpose of usefully approximating the ratio between the diameter and the circumference of a circle". Then make sure the steps described take up at least three pages. Oh and use a lot of impressive sounding words for things. Never say something like "pencil", say "graphite based, portable diagrammatic device rated at two on the graphite integrity scale". Things like that. The USPTO seems really impressed when they haven't the slightest idea what you're talking about.
    • Re:Blashphemy ! (Score:5, Informative)

      by dkf (304284) <donal.k.fellows@man.ac.uk> on Wednesday February 06, @06:24AM (#22319164) Homepage

      Everybody knows that pi = 3.
      Only when your circles have six sides. (Hint: regular hexagons have a circumference/diameter ratio of exactly 3...)
      • Re:Blashphemy ! (Score:5, Funny)

        by rucs_hack (784150) on Wednesday February 06, @06:38AM (#22319224)
        Only when your circles have six sides. (Hint: regular hexagons have a circumference/diameter ratio of exactly 3...)

        For this demonstration of extreme geek knowledge, you win the discussion thread.

        All you others can go home...
      • Re:Blashphemy ! (Score:5, Informative)

        by Thanshin (1188877) on Wednesday February 06, @06:41AM (#22319232)

        Everybody knows that pi = 3. It's in the Bible, after all.

        Does any idiotic thing get modded up as long as it blasts Christianity? Nowhere in the Bible does it talk about the principles of Euclidian geometry.

        "And he [Hiram] made a molten sea, ten cubits from the one rim to the other it was round all about, and...a line of thirty cubits did compass it round about....And it was an hand breadth thick...." -- First Kings, chapter 7, verses 23 and 26
        • Re:Blashphemy ! (Score:5, Insightful)

          by sed quid in infernos (1167989) on Wednesday February 06, @06:51AM (#22319288)
          Which doesn't say that pi = 3 any more than saying "And he [Hiram] made a molten sea, ten cubits from the one rim to the other it was round all about, and...a line of thirty-one and four-tenths cubits did compass it round about....And it was an hand breadth thick...." says that pi = 3.14. Pi is, in fact, equal to neither of those numbers, nor to 3.14159 26535 89793 23846 26433 83279 50288 41971 69399 37510. It is an irrational number for which any representation in digits is an approximation. And 3 is the proper approximation of pi to one significant digit.
      • Re:Blashphemy ! (Score:5, Informative)

        by Andrew Kismet (955764) on Wednesday February 06, @06:45AM (#22319250)
        1 Kings 7:23 "He made the Sea of cast metal, circular in shape, measuring ten cubits from rim to rim and five cubits high. It took a line of thirty cubits to measure around it." or "And he made a molten sea, ten cubits from the one brim to the other: it was round all about, and his height was five cubits: and a line of thirty cubits did compass it round about."

        While the Bible doesn't actually state the nature of pi, and a cubit is an extremely rough unit anyway, it's amusing to note that if you properly define cubit as being a fixed length and assert that the word circular refers to a near-perfect circle, the units just don't work out unless you redefine space, and along with it, Pi. Putting the "fun" back in "fundies".

        http://everything2.com/index.pl?node=Pi%20in%20the%20Bible [everything2.com]
      • Re:Blashphemy ! (Score:5, Informative)

        by mskfisher (22425) on Wednesday February 06, @06:50AM (#22319286) Homepage Journal
        It was better than close:
        http://www.khouse.org/articles/1998/158/ [khouse.org]

        The Hebrew alphabet is alphanumeric: each Hebrew letter also has a numerical value and can be used as a number.
        There was an embedded code - a word that was written strangely:

        The common word for circumference is qav. Here, however, the spelling of the word for circumference, qaveh, adds a heh (h).
        ...
        This indicates an adjustment of the ratio 111/ 106, or 31.41509433962 cubits. Assuming that a cubit was 1.5 ft. this 15-foot-wide bowl would have had a circumference of 47.12388980385 feet.
        This Hebrew "code" results in 47.12264150943 feet, or an error of less than 15 thousandths of an inch!
        It gives an error of 0.00265%. Quite remarkable.
  • Tabled in the Senate (Score:5, Funny)

    by Ignis Flatus (689403) on Wednesday February 06, @05:32AM (#22318946)
    Introduced by Record
    IN THE SENATE
    Read first time and referred to
    committee on Temperance, February 11th, 1897
    Reported favorable February 12th, 1897
    Read second time and indefinitely postponed February 12, 1897


    sounds to me like they just never got a Round Tuit
  • In Kansas... (Score:5, Funny)

    by Cracked Pottery (947450) on Wednesday February 06, @05:34AM (#22318952)
    There was an attempt to outlaw i and it's use in mathematical equations. Lawmakers who objected to its use complained that it wasn't real and their constituents required too much imagination to accept it.
    • Re:In Kansas... (Score:5, Insightful)

      by KefabiMe (730997) <slashdotNO@SPAMjhonor.com> on Wednesday February 06, @06:10AM (#22319088) Homepage Journal

      There was an attempt to outlaw i and it's use in mathematical equations. Lawmakers who objected to its use complained that it wasn't real and their constituents required too much imagination to accept it.

      What's really sad is I don't know if that's a joke or if it's informative.

      I mean, and I'm 100% serious here... It could go either way. I have no clue!

    • Re:In Kansas... (Score:5, Funny)

      by clickety6 (141178) on Wednesday February 06, @07:05AM (#22319362)
      if we're making bad puns, don't forget the story of Polly Nomial and Curly Pi

      Once upon a time pretty little Polly Nomial was strolling across a field of vectors when she came to the edge of a singularly large matrix.

      Now Polly was convergent and her mother had made it an absolute condition that she must never enter such an array without her brackets on. Poll however, who had changed her variables that morning and was feeling particularly badly behaved, ignored these conditions on the ground that they were unnecessary, and made her way amongst the complex elements.

      Rows and columns enveloped her on both sides. Tangents approached her surface; she became tensor and tensor. Quite suddenly two branches of a hyperbola touched her at a single point. She oscillated violently, lost all sense of directrix and went completely divergent. As she reached a turning point she tripped over a square root which was protruding from the erf and plunged headlong down a steep gradient. When she was differentiated once more she found herself alone, apparently in a non-Euclidian space.

      She was being watched however. That smooth operator, Curly Pi, was lurking inner product. As his eyes devoured her curvilinear co-ordinates, a singular expression crossed his face. Was she still convergent, he wondered. He decided to integrate at once.

      Hearing a vulgar fraction behind her, Polly turned round and saw Curly Pi approaching with his power series extrapolated. She could see at once by his degenerate conic and his dissipative terms that he was bent on no good.

      "Eureka" she gasped.

      "Ho Ho" he said, "what a symmetric little polynomial you are. I can see you're absolutely bubbling over with secs."

      "Oh Sir", she protested, "keep away from me, I haven't got my brackets on."

      "Calm yourself, my dear," said our suave operator, "your fears are purely imaginary."

      "i,i," she thought. "Perhaps he's homogeneous then."

      "What order are you," the brute demanded.

      "Seventeen", replied Polly.

      Curly leered. "I suppose you've never been operated on yet", he said.

      "Of course no," Polly exclaimed indignantly. "I'm absolutely convergent".

      "Come, come," said Curly, "lets off to a decimal place I know and I'll take you to the limit".

      "Never" gasped Polly.

      "EXCHLF" he swore, using the vilest oath he knew. His patience was gone. Coshing her over the coefficient with a log until she was powerless, Curly removed her discontinuities. He started at her significant places and began smoothing her points of inflection. Poor Polly, all was up. She felt his digit tending to her asymptotic limit. Her convergence was gone for ever.

      There was no mercy, for Curly was a Heavyside operator. He integrated by partial fractions. The complex beast even went all the way round and did a contour integration. What an indignity. To be multiply connected at her first integration. Curly went on operating until he was absolutely and completely orthogonal.

      When Polly got home that evening her mother noticed that she was truncated in several places. But it was too late to differentiate now. As the months went by, Polly increased monotonically. Finally, she generated a small but pathological function which left surds all over the place until she was driven to distraction.

      The moral of the story is this: If you want to keep your expressions convergent, never allow them a single degree of freedom.
  • What's wrong with that? (Score:5, Funny)

    by QuickFox (311231) on Wednesday February 06, @05:37AM (#22318964)

    would have erroneously established pi as the ratio 'five-fourths to four' or 3.2.
    What's wrong with that? It's fairly close to the truth, much closer than many of the current federal administration's views on reality. And far less disastrous.
    • Re:What's wrong with that? (Score:5, Insightful)

      by Ihlosi (895663) on Wednesday February 06, @05:41AM (#22318974)
      And far less disastrous.

      Apparently, you haven't imagined yet what many engineering projects would be like if they assumed that pi = 3.2.

      • Re:What's wrong with that? (Score:5, Funny)

        by QuickFox (311231) on Wednesday February 06, @05:49AM (#22319000)
        I'm sure every sane engineer would look at that 3.2 and decide that, for reasons related to what's practical and works well, the exact 3.20000000 can't be used with full precision, instead a rough approximation is needed, say 3.14159265 or thereabouts.
        • by Ihlosi (895663) on Wednesday February 06, @06:14AM (#22319102)
          I'm sure every sane engineer would look at that 3.2 and decide that, for reasons related to what's practical and works well, the exact 3.20000000 can't be used with full precision, instead a rough approximation is needed, say 3.14159265 or thereabouts.

          ... and not too long ago, there was an article about engineers supposedly having a terrorist mindset. I think we could add "Criminally adulterating the legislated value of pi" to the list of possible terrorist acts.

  • by petes_PoV (912422) on Wednesday February 06, @05:44AM (#22318986)
    ... if your laws contain text like this:

    "It is impossible to compute the area of a circle on 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 arc of ninety degrees equals eight."

    Not that other countrys' are any better, I suppose

  • Strictly speaking... (Score:5, Funny)

    by PinkyDead (862370) on Wednesday February 06, @06:23AM (#22319156)
    This happened 111.19 years ago, you must remember to include the leap years.
  • The Slashdot headline in 2105 (Score:5, Insightful)

    by williegeorgie (710224) on Wednesday February 06, @07:11AM (#22319388)
    I hope we read this in about 100 years.... About 100 years ago, the Dover Pennsylvania school board very nearly succeeded in enforcing 'introducing a new scientific truth,' that would have erroneously established intelligent design as a rational alternative to evolution. The story explaining the rationale behind the idiocy is best described by the federal judge who prevented the school board from ....