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Pythagorean Theorem: The Spiral of Roots

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Uploaded by on Jun 22, 2008

Using the Pythagorean theorem to get a visual representation of some common irrational numbers.

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Education

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Uploader Comments (MathTV)

  • Does the first example imply that a triangle with two sides of 1 and hypoteneuse of 2 is an impossible shape in reality?

  • The triangle exists just as you see it. The implication is that not all numbers can be written as fractions or decimals. In fact, there are an infinite number of these numbers that cannot be written as fractions or decimals.

Top Comments

  • splendid as always.

  • hypoteneuse--»h

    n--»number of triangles

    i think If we know the hypoteneuse we can calculate the number of triangles we've drawed to get to the actual triangle... but i'm not shure... by the expression:

    h=[root]n+1

    Am I right?

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All Comments (59)

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  • @Surfister Why are you not 'shure'?

  • thx!!!

  • @mike73dotcom i just made one up at the time and did it quickly off the top of my head, i had a math test in an hour before i commented that and i needed help. Sorry if i ruined your day Mr Math Magician lol

  • @ShaneThompson94 my calculator shows that 12.64x12.64 (or 12.64(2)) = 159.7696...NOT 166

  • @chris3443 the first example implies no -right- triangle has two sides of length 1 and hypotenuse of length 2. I don't think the example itself proves the triangle inequality nor does the pyth thm

  • Amazing. I have to this for tonight. Its due tomorrow. :P

  • interessting...

  • "attractive spiral" haha nice

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