Freeman Posted June 29, 2004 Share 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??? Link to comment Share on other sites More sharing options...
Dave Posted June 29, 2004 Share Posted June 29, 2004 eh? Multiplying two vectors together? Or what? What's "squaring a circle"? Link to comment Share on other sites More sharing options...
Freeman Posted June 29, 2004 Author Share 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!!! Link to comment Share on other sites More sharing options...
Freeman Posted June 29, 2004 Author Share Posted June 29, 2004 Never mind, I found out how to multiply two lines togather. Link to comment Share on other sites More sharing options...
Dave Posted June 29, 2004 Share Posted June 29, 2004 Ah, I see what you mean by multiplication now. Link to comment Share on other sites More sharing options...
Cap'n Refsmmat Posted June 29, 2004 Share Posted June 29, 2004 Is it squaring a circle or squaring a triangle that's impossible? One of those. Link to comment Share on other sites More sharing options...
jordan Posted June 29, 2004 Share Posted June 29, 2004 You thinking of trisecting an angle? Link to comment Share on other sites More sharing options...
Cap'n Refsmmat Posted June 29, 2004 Share Posted June 29, 2004 What is "trisecting an angle"? Link to comment Share on other sites More sharing options...
jordan Posted June 29, 2004 Share 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. Link to comment Share on other sites More sharing options...
Freeman Posted June 29, 2004 Author Share 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? Link to comment Share on other sites More sharing options...
Dave Posted June 30, 2004 Share 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... Link to comment Share on other sites More sharing options...
Freeman Posted June 30, 2004 Author Share 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? Link to comment Share on other sites More sharing options...
Dave Posted June 30, 2004 Share Posted June 30, 2004 From a google: http://www.geom.uiuc.edu/docs/forum/square_circle/ Link to comment Share on other sites More sharing options...
Freeman Posted June 30, 2004 Author Share 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??? Link to comment Share on other sites More sharing options...
NSX Posted June 30, 2004 Share Posted June 30, 2004 I'm not sure what you're trying to state there... We began with C = Dπ... So what? Link to comment Share on other sites More sharing options...
JaKiri Posted June 30, 2004 Share Posted June 30, 2004 Is this not correct??? No, because the 'answer' is transcendental. Link to comment Share on other sites More sharing options...
bloodhound Posted June 30, 2004 Share 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. Link to comment Share on other sites More sharing options...
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