Area of the Q – Numberphile



Johnny Ball is back talking about Hippocrates, Lunes, and a Fancy Q.
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43 Comments

  1. another universal truth.

    x (confused with the multpkication sign)
    2 x 2 = 4 or 2.2=4 or 2*2=4 or 2×2=4
    anyway
    x is a letter used as a variable (named : ix and not times)
    like y
    2 y 2 = nonsens rommel

    so anyway

    x / x = 1

    and

    x (times) x = x^2 (ix square)

    you can relplace x (ix) with any desireable number. but you xan not replace * (times) with any desireable number.

    x = is variable, a place holder for a number.

    like. for example. this bus can contain 72x persons. and then it does not matter wich persons or how many person there truly are in the bus.

    so x can be a number in this case between 1 (the driver) and 72. (the maximum passengers)

    now you know.

  2. if the dinater of a circle is 1 centimeter then the outline of a circle is 3.14 cebtineter long. a fixed ratio. since the outline is x too the power of two and y too the power of two on the graph from one flat line. is also combined 3.14

    so
    x2+y2=3.14
    so
    x2=3.14 ÷ 2 = 1.07
    y2=3.14 ÷ 2 = 1.07

    then square root of x2 is x
    so
    1.07 square root = 0.33 almost from.x
    plus 1.07 square root = 0.33 almost from y
    means the diameter is 0.66 and then pi is 3.14 as an outline ?

    i do something wrong here. but with this. you xan also calcylate the diameter or the fictiinal far outmost middle line of a flat circle.

    means

  3. Mind blown, how did I get through a year of university maths and 41 years of life without knowing you could generalise Pythagoras to any similar shapes?!

    Also, love Johnny Ball, a true legend.

  4. 0:29 "It's not just squares." Indeed. But Ancient Greek geometers used geometry to do what we'd nowadays do using algebra. So when Pythagoras or Euclid said the square of some length, er could take that as referring to the square (2nd power) of some quantity that that length represents. So of course it wasn't just squares (square shapes). The point of Pythagoras isn't squares as in square shapes, it was squares as 2nd powers.

  5. Interesting. I've a problem with a moon shape where none of both circle arcs are a half of a circle. ':) Can it also be related to a triangular surface somehow? I am figuring out N-Gons as a hobby, you can see my YT channel where I've got a pinterest link.

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