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111 Years Ago, Indiana Almost Legislated Pi

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."

20 of 379 comments (clear)

  1. Re:Blashphemy ! by dkf · · Score: 5, Informative

    Everybody knows that pi = 3. Only when your circles have six sides. (Hint: regular hexagons have a circumference/diameter ratio of exactly 3...)
    --
    "Little does he know, but there is no 'I' in 'Idiot'!"
  2. Re:Blashphemy ! by Thanshin · · Score: 5, Informative

    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
  3. Re:Blashphemy ! by Andrew+Kismet · · Score: 4, Informative

    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

  4. Re:Blashphemy ! by uberdilligaff · · Score: 2, Informative

    339/108 is not near good enough. For a good time, try 355/113... gets you 7 significant figures of pi.

    --
    Against stupidity, the Gods themselves contend in vain. --Friederich Schiller
  5. Re:Blashphemy ! by mskfisher · · Score: 4, Informative
    It was better than close:
    http://www.khouse.org/articles/1998/158/

    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.
    --
    0x0D 0x0A
  6. Re:Blashphemy ! by Anonymous Coward · · Score: 1, Informative

    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 I notice all the angry-atheists trim the quote before "And it's rim was like the rim of a cup, like a lilly blossom" (v26), at which point it is pretty obvious that the passage is a not an engineering specification but a descriptive piece, and they might as well be moaning about "the mathematical inaccuracies in the Lonely Planet guide to New York". I do wonder if you are the sort of person who, when the tour guide tells you the Statue of Liberty is 150 feet tall, shrieks "lair! It's 151 feet and one inch tall, and probably an irrational fraction after that, you evil fundamentalist tour guide!" ...
  7. Re:whatcouldpossiblygowrong by Anonymous Coward · · Score: 3, Informative

    4 / 1.25 = 3.2

  8. Re:Blashphemy ! by Torvaun · · Score: 2, Informative

    Clearly you haven't been paying attention if you think something silly like prior art is going to stand in the way of his patent.

    --
    I see your informative link, and raise you a pithy comment.
  9. Re:Blashphemy ! by k.a.f. · · Score: 2, Informative
    "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...."

    Those figures are obviously given to only one significant digit,
    so the text merely implies that round(pi) = 3, which is perfectly true.

  10. Re:Blashphemy ! by rk · · Score: 3, Informative

    Those figures are obviously given to only one significant digit

    But if the Bible is the unerring Word of God, surely God wouldn't have said 10 cubits when he meant anywhere from 5 to 14.9 cubits, would he? :-P

  11. Ratios on a sphere and the density of irrationals by SEMW · · Score: 3, Informative

    are all circumference/diameter(on the surface) ratios rational? If not, how many are not? As the circle expands from a point to a great circle, the ratio between circumference and diameter can take any value between pi and two. So an infinite number of possible ratios are rational, and in infinite number are irrational.

    Interestingly, however, if you pick a particular circle, the ratio actually has a 100% probability of being irrational, rather than rational. Informally, this is because the irrationals are so much 'denser' than the rationals (using the colloquial rather than the topological meaning of dense). A proper proof follows from the fact that the rationals have Lebesgue measure 0; i.e. they can all be enclosed in a set of intervals on the real line, the sum of the lengths of which can be made as small as you like.
    --
    What's purple and commutes? An Abelian grape.
  12. Re:Blashphemy ! by Hognoxious · · Score: 4, Informative

    ummm, a hexagon does not have a diameter
    O RLY?
    --
    Confucius say, "Find worm in apple - bad. Find half a worm - worse."
  13. Re:Blashphemy ! by digitig · · Score: 3, Informative

    If you write the division backwards, it's an obvious pattern: 113\355.

    --
    Quidnam Latine loqui modo coepi?
  14. Re:Blashphemy ! by STrinity · · Score: 3, Informative

    The Bible says that a well 10 cubits across will have a circumference of 30 cubits. An error of almost one and a half cubits is not "close".

    --
    Les Miserables Volume 1 now up with my reading of
  15. Re:Blashphemy ! by jafuser · · Score: 5, Informative

    I found this quite interesting:

    pi is close to sqrt(g), where g = gravitational acceleration on the surface of Earth in m/(s^2).

    Apparently, this is not a coincidence.

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    Please consider making an automatic monthly recurring donation to the EFF
  16. Re:Blashphemy ! by EsbenMoseHansen · · Score: 3, Informative

    Hmmm... when I was young, I was taught that the diameter of a (bounded) set S in a metric space was the maximum (well, supremum) of the distances between any two elements in S. Seem a much simpler definition to me.(And wikipedia mentions this one, too)

    --
    Religion is regarded by the common people as true, by the wise as false, and by rulers as useful.
  17. Re:Blashphemy ! by pifactorial · · Score: 2, Informative

    When I was in elementary school, I came up with (44713649/1500)^(1/9), which I believe is accurate to 11 decimal places, and is useless for any purpose but proving that I don't get out much.

  18. Re:It wasn't all that long ago that.... by whitehatlurker · · Score: 3, Informative

    I think you may mean Alabama instead of Missouri. And it didn't happen.

    --
    .. paranoid crackpot leftover from the days of Amiga.