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How do I cross reference a set of rules against pythagorean triples?

Posted 9 years ago
POSTED BY: Jeffery Cole
5 Replies
Posted 9 years ago
POSTED BY: Paul Cleary
Posted 9 years ago
POSTED BY: Updating Name

Oops! The last four matter some because

a1 + b2 = b1 + a4 = a2 + b3 = a3 + b4

POSTED BY: Jeffery Cole
POSTED BY: Sean Clarke

Thank You Soo Much! You have been extremely helpful. :-)

However the rules that I am using are to find multiple triplets (Sorry for not being clear enough in the original post).

The rules are the following:

a12+b12=c12

a22+b22=c22

a32+b32=c32

a42+b42=c42

a1=b4

b1=a2

b2=a3

b3=a4

a1+b2=L

b1+a4=L

a2+b3=L

a3+b4=L

When all values for a, b, c, and L are whole numbers. Obviously we’re using m & n to determine the triplets and not a, b, and c, but do I need to define a, b & c from the table? What you gave me is really helpful, but I don’t know how to test with different triples simultaneously. Sorry if I’m incoherent. Thanks once again!

p.s.

the last four equations just want to determine that a+b is an integer, otherwise L doesn’t matter

POSTED BY: Jeffery Cole
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