Freeman Posted June 29, 2004 Posted June 29, 2004 I am almost done squaring a circle, but I need to know how to multiply two lines togather. Does anyone know how to???
Dave Posted June 29, 2004 Posted June 29, 2004 eh? Multiplying two vectors together? Or what? What's "squaring a circle"?
Freeman Posted June 29, 2004 Author Posted June 29, 2004 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!!!
Freeman Posted June 29, 2004 Author Posted June 29, 2004 Never mind, I found out how to multiply two lines togather.
Cap'n Refsmmat Posted June 29, 2004 Posted June 29, 2004 Is it squaring a circle or squaring a triangle that's impossible? One of those.
jordan Posted June 29, 2004 Posted June 29, 2004 Dividing it into three equal angles. This is the popular one that can't be done with just a compass and straight edge.
Freeman Posted June 29, 2004 Author Posted June 29, 2004 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?
Dave Posted June 30, 2004 Posted June 30, 2004 In theory its impossible, but I got bored, so we're all going to find out, won't we? Well, it's been proven to be impossible, so unless you want to waste a lot of time...
Freeman Posted June 30, 2004 Author Posted June 30, 2004 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?
Dave Posted June 30, 2004 Posted June 30, 2004 From a google: http://www.geom.uiuc.edu/docs/forum/square_circle/
Freeman Posted June 30, 2004 Author Posted June 30, 2004 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???
NSX Posted June 30, 2004 Posted June 30, 2004 I'm not sure what you're trying to state there... We began with C = Dπ... So what?
JaKiri Posted June 30, 2004 Posted June 30, 2004 Is this not correct??? No, because the 'answer' is transcendental.
bloodhound Posted June 30, 2004 Posted June 30, 2004 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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