Warning: Use of undefined constant referer - assumed 'referer' (this will throw an Error in a future version of PHP) in /usr/home/essaywo/public_html/essays on line 102

Warning: Use of undefined constant host - assumed 'host' (this will throw an Error in a future version of PHP) in /usr/home/essaywo/public_html/essays on line 105

Warning: Cannot modify header information - headers already sent by (output started at /usr/home/essaywo/public_html/essays:102) in /usr/home/essaywo/public_html/essays on line 106

Warning: Cannot modify header information - headers already sent by (output started at /usr/home/essaywo/public_html/essays:102) in /usr/home/essaywo/public_html/essays on line 109
Pythagorean Triples - Papers

Pythagorean Triples

PYTHAGOREAN TRIPLES

YOLINDA RATLIFF

MAT 126: SURVEY OF MATHEMATICAL METHODS

LAURA CELLA

OCTOBER 15, 2011

RUNNING TITLE: PYTHAGOREAN

There are many different ways of generating triples. Many of which have no specific origin. In this assignment several of these different formulas were used. There are also versions that have been designated to one person such as Euclid's formula, and the parent/child relation- ship.

a=2n+1 b=2n(n+1) c=2n(n+1)+1
a=2(2)+1 b=2(2)(2+1) c=2(2)(2+1)+1
a=4+1 b=4(3) c=4(3)+1
a=5 b=12 c=13

Check: a2+b2=c2

25+144=169
169=169

a=u2+2uv b=2v2+2uv c=u2+2v2+2uv
...

Want to read the rest of this paper?
Join Essayworld today to view this entire essay
and over 50,000 other term papers

3-2(4)+2(5) 2(3)-4+2(5) 2(3)-2(4)+3(5)
b=4 3-8+10 6-4+10 6-8+15
c=5 -5+10=5 -2+10=12 -2+15=13

Check: a2+b2=c2

25+144=169
169=169

z=6 5. a=x+z b=y+z c=x+y+z
x=18 a=18+6 b=1+6 c=18+1+6
y=1 a=24 b=7 c=25

Check: a2+b2=c2

576+49=625
625=625

The five different equations were different ways of generating Pythagoras triples. They were very complicated. I had a very difficult time figuring these out. I am not sure how if anyway these would be useful in my real-world applications.

REFERENCE

Formulas for generating pythagorean triples. Retrieved from http://www.enotes.com/topics/formulas_for_generating_Pythagorean_triples on October 14, ...

Get instant access to over 50,000 essays.
Write better papers. Get better grades.

Already a member? Login

CITE THIS PAGE:

APA
MLA
Chicago
Turabian

Pythagorean Triples. (2012, April 30). Retrieved June 22, 2026, from http://www.essayworld.com/essays/Pythagorean-Triples/100892

"Pythagorean Triples." Essayworld.com. Essayworld.com, 30 Apr. 2012. Web. 22 Jun. 2026. <http://www.essayworld.com/essays/Pythagorean-Triples/100892>

"Pythagorean Triples." Essayworld.com. April 30, 2012. Accessed June 22, 2026. http://www.essayworld.com/essays/Pythagorean-Triples/100892.

JOIN NOW

Join today and get instant access to this and 50,000+ other essays

PAPER DETAILS

Added: 4/30/2012 10:35:20 AM
Submitted By: yolinda
Category: Miscellaneous
Type: Free Paper
Words: 239
Pages: 1

Save |

Report

SHARE THIS PAPER

SAVED ESSAYS

Save and find your favorite essays easier