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December 24th, 2016, 07:06 AM  #1 
Member Joined: Jul 2010 Posts: 66 Thanks: 0  Irrational and rational Rectangles
Irrationl and rational Rectangles A â€“ the side of rectangles B â€“ the side of rectangle C â€“ the diagonal of rectangle Irrational Rectangles Choose A = 1+root of N (that N has not root) Find B by the formula B = 0.5( AA  1 ) Find C by the formula C = B + 1 the result .... AA + BB = CC A = 1 + ru0.15 (ru = root) B = 0.075 + ru0.15 C = 1.075 + ru0.15 A = 1 + ru1.2 B = 0.6 + ru1.2 C = 1.6 + ru1.2 A = 1 + ru1.5 B = 0.75+ru1.5 C = 1.75+ru1.5 A = B A = 1 + ru2 B = 1 + ru2 C = 2 + ru2 A = 1 + ru3 B = 1.5 + ru3 C = 2.5 + ru3 A = 1 + ru5 B= 2.5 + ru5 C = 3.5 + ru5 Rational Rectangles ________________________________________ Choos A = 1 + N Find B by the formula B = 0.5( AA  1 ) Find C by the formula C = B + 1 the result .... AA + BB = CC A = 1.15 1.47 2 34 B = 0.16125 0.58045 1.5 4 7.5  C = 1.16125 1.58045 2.5 5 8.5 
December 24th, 2016, 02:48 PM  #2 
Global Moderator Joined: May 2007 Posts: 6,236 Thanks: 498 
what is the point?

December 24th, 2016, 05:35 PM  #3 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 9,446 Thanks: 640  
December 24th, 2016, 07:11 PM  #4 
Senior Member Joined: Feb 2016 From: Australia Posts: 1,173 Thanks: 386 Math Focus: Yet to find out.  
December 25th, 2016, 05:35 AM  #5 
Member Joined: Jul 2010 Posts: 66 Thanks: 0  Choosing A , determin B and C
The ratio (A + B ) : C , varies by A This ratio reaches to maximum value of ru2 , when A = (1 + ru2) When A close to 1, the ratio close to 1 When A close to infinity,the ratio close to 1 and...... 
December 25th, 2016, 08:27 AM  #6  
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 9,446 Thanks: 640  Quote:
"Pythagorean and nonPythagorean right triangles" that you use a,b,c (not A,B,C) that you use a^2, b^2, c^2 (not AA,BB,CC) that you use SQRT(n) (not ru(N)) : that one gives me the runs! But I'm not saying that will increase your fan club size  
December 25th, 2016, 10:34 AM  #7 
Member Joined: Jul 2010 Posts: 66 Thanks: 0  Thank you for your response
Numbers creates forms. Since A creates B and C ,then A creates geometric shapes. The number (1 + ru2),creates a square. Any ather number , creates a rectangle, This is the geometry of the straight line , ans its crown is Pythagorean theorem. 
December 25th, 2016, 10:41 AM  #8 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 9,446 Thanks: 640 
Merry ruXmas !


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irrational, rational, rectangles 
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