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December 24th, 2016, 07:06 AM   #1
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Irrational and rational Rectangles

Irrationl and rational Rectangles

A – the side of rectangles
B – the side of rectangle
C – 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 -------------3----------------4-------
B = 0.16125 -------0.58045 --------1.5 -----------4 ---------------7.5 -----
C = 1.16125 -------1.58045 --------2.5 -----------5 ---------------8.5-------
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December 24th, 2016, 02:48 PM   #2
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what is the point?
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December 24th, 2016, 05:35 PM   #3
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Originally Posted by mathman View Post
what is the point?
Good question!
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December 24th, 2016, 07:11 PM   #4
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Good question!
Good response!
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December 25th, 2016, 05:35 AM   #5
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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......
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December 25th, 2016, 08:27 AM   #6
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Quote:
Originally Posted by aetzbar View Post
Irrationl and rational Rectangles

A – the side of rectangles
B – the side of rectangle
C – 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

.....and on and on.....
Well, may I suggest that you title this:
"Pythagorean and non-Pythagorean 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
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December 25th, 2016, 10:34 AM   #7
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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.
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December 25th, 2016, 10:41 AM   #8
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Merry ruXmas !
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