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How do I mulitply two lines togather???

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I am almost done squaring a circle, but I need to know how to multiply two lines togather. :confused: Does anyone know how to???

  • Author

Squaring a circle is when you have a circle with a certain area, and with nothing but a straight-edge and compass, one tries to calculate the dimensions of a square with the same area as the circle.

 

I have a line that is pi units in length, and I need to multiply it by a line 6 units in length in a construction, but I don't know where I can find the construction online!!! Aghh!!! :confused:

  • Author

Never mind, I found out how to multiply two lines togather. circle.gif

Dividing it into three equal angles. This is the popular one that can't be done with just a compass and straight edge.

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Yeah, I can't trisect an angle!!! But, I have other ways around it...

 

Is it squaring a circle or squaring a triangle that's impossible?
In theory its impossible, but I got bored, so we're all going to find out, won't we? :D
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Well, it's been proven to be impossible, so unless you want to waste a lot of time...
That's all I have! I would like to see the proof proving squaring a circle is impossible, does anyone have a link?
  • Author

Lemme see where to begin.... take the circumferance of the circle. [math]C=D\pi[/math] This is very important, but I will show you why later.

 

And the area of the circle would be [math]A=r^2\pi[/math], that too is the area of the square, correct?

 

Therefore, the side of the square MUST be [math]r\sqrt{\pi}[/math], correct?

 

Well, remember the Circumferance? Well, Squareroot it. [math]\sqrt{D\pi}[/math], and squareroot the diameter on its own too. Now, plug it in [math]\sqrt{D\pi/D}=\sqrt{\pi}[/math] Multiply by the radius, which we began with! Is this not correct???

I'm not sure what you're trying to state there...

 

We began with C = Dπ...

 

So what?

Is this not correct???

 

No, because the 'answer' is transcendental.

yeah, squaring a circle is proven to be impossible. and trisecting angles is possible for some specific angles. but its impossible for a general angle.

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