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Set a pair of dividers to the radius of the circle. Walk the dividers around the circumference. You'll be setting out the vertices of a hexagon inscribed on the circle. The hexagon is composed of 6 equilateral triangles, each side of each triangle being equal to the radius of the circle.
Quote from: tvoght on July 16, 2014, 11:29:16 PMSet a pair of dividers to the radius of the circle. Walk the dividers around the circumference. You'll be setting out the vertices of a hexagon inscribed on the circle. The hexagon is composed of 6 equilateral triangles, each side of each triangle being equal to the radius of the circle.All true but how do you prove that the triangles are equilateral?
... it doesn't matter how many decimal places you approximate Pi to, it's still 3 and a bit.
Then there is the Indiana Pi BIll:https://en.wikipedia.org/wiki/Indiana_Pi_Bill"...one of the most famous attempts to establish mathematical truth by legislative fiat..."--Tim
Quote from: IanR on July 17, 2014, 09:15:30 PM... it doesn't matter how many decimal places you approximate Pi to, it's still 3 and a bit. Don't be so sure. If you believe the bible, pi is three..."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 26Remember, pi*10 = 31 and change. So the Jews must have had extraordinarily bad tape measures.
Don't be so sure. If you believe the bible, pi is three..."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 26Remember, pi*10 = 31 and change. So the Jews must have had extraordinarily bad tape measures.