
Math General Math Forum  For general math related discussion and news 
 LinkBack  Thread Tools  Display Modes 
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: 6,203 Thanks: 486 
what is the point?

December 24th, 2016, 05:35 PM  #3 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 8,424 Thanks: 569  
December 24th, 2016, 07:11 PM  #4 
Senior Member Joined: Feb 2016 From: Australia Posts: 834 Thanks: 305 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: 8,424 Thanks: 569  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: 8,424 Thanks: 569 
Merry ruXmas !


Tags 
irrational, rational, rectangles 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Rational or irrational  shunya  Elementary Math  3  July 6th, 2014 08:12 PM 
Rational or Irrational  LucasPR  Abstract Algebra  13  May 1st, 2013 11:32 PM 
Sum of rational numbers is irrational?  policebox  Real Analysis  7  January 3rd, 2013 11:46 AM 
Is sin1° rational or irrational?  suugakuedu  Algebra  1  December 28th, 2012 11:48 AM 
rational or irrational  panky  Algebra  4  December 23rd, 2011 10:51 PM 