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Dedhert.Jr (talk | contribs) C-class: lack of sources, need some lead expansions about the background of Pythagorean triples and the introduction of formulas for generating it, expansion needed in some subheadings |
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== Sum of odd numbers ==
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: a^2 + b^2 = c^2
and did a bunch of other things that look as if they were done by a lunatic or at least someone not particularly familiar with [[TeX]]. Sometimes curly braces are necessary (e.g. if you have more than one character in a subscript or a superscript, such as a_{2n}. But sometimes they're at best clutter. Is there some reason why it was done that way? [[User:Michael Hardy|Michael Hardy]] ([[User talk:Michael Hardy|talk]]) 23:11, 11 October 2011 (UTC)
:Heh heh, I can't claim credit for most of them, but in one edit in May 2010 I did put in a couple of instances of (1^{2}+2^{2}) etc., which were subsequently augmented by someone else to ({{1}^{2}}+{{2}^{2}}) etc. When you simplified the others you missed mine, so I've done them now. Don't worry about me -- I've recently upped my dosage of lunatic meds! [[User:Duoduoduo|Duoduoduo]] ([[User talk:Duoduoduo|talk]]) 19:43, 19 October 2011 (UTC)
==Deleting my contribution==
I made a contribution to this article little more than a week ago on "the universal set of Pythagorean triples." Someone removed it. Why? I made reference to an article that contains rigorous proof of a matrix of Pythagorean triples that form the universal set of triples. This is the ultimate in finding the triples. Why was it removed, and what must I do right this time to have it maintained? Should I rather write my own article, independent on this one, for finding any Pythagorean triple? <span style="font-size: smaller;" class="autosigned">— Preceding [[Wikipedia:Signatures|unsigned]] comment added by [[Special:Contributions/119.46.251.60|119.46.251.60]] ([[User talk:119.46.251.60|talk]]) 07:59, 6 December 2013 (UTC)</span><!-- Template:Unsigned IP --> <!--Autosigned by SineBot-->
: Please see the page [[WP:OR]]. The short summary is that Wikipedia does not publish original research, and that's what you were adding to the page. (Also, for what it's worth, your method is a relatively minor variation of some of the formulas on this page; for example, if we set ''x'' = ''m''/''n'' and rescale then your triple is the same as the "usual" triple from [[Pythagorean_triple#Generating_a_triple|Euclid's formula]].) --[[User:Joel B. Lewis|JBL]] ([[User_talk:Joel_B._Lewis|talk]]) 19:35, 6 December 2013 (UTC)
== Generating triples when one side is known ==
This section is wrong so someone should fix it:) Euclid's formula is designed to generate only primitive triples, but the text claims that it will generate all of them. Omitting the restriction that m and n should be coprime allows some non-primitive triples to be generated, but not all of them. E.g. in the example given with b = 24, (18, 24, 30) and various others are missed. In order to generate all possible triples, the factor k as in http://en.wikipedia.org/wiki/Pythagorean_triple#Generating_a_triple needs to be included. <span style="font-size: smaller;" class="autosigned">— Preceding [[Wikipedia:Signatures|unsigned]] comment added by [[Special:Contributions/97.77.50.20|97.77.50.20]] ([[User talk:97.77.50.20|talk]]) 04:30, 7 February 2014 (UTC)</span><!-- Template:Unsigned IP --> <!--Autosigned by SineBot-->
== Article impossible to understand if you don't know the topic already ==
The properties of this progression are:
(a) the whole numbers are those of the common series and have unity as their common difference; (b) the numerators of the fractions, annexed to the whole numbers, are also the natural numbers; (c) the denominators of the fractions are the odd numbers, <math>3,\text{ }5,\text{ }7,\text{ }9,</math> etc.
* What is a [[common series]]?
* What is [[unity]]?
* What is a [[common difference]]?
* What does [[annexing]] mean?
[[Special:Contributions/91.83.139.187|91.83.139.187]] ([[User talk:91.83.139.187|talk]]) 07:40, 22 January 2019 (UTC)
:{{Fixed}} — [[User:UnladenSwallow|UnladenSwallow]] ([[User talk:UnladenSwallow|talk]]) 19:30, 6 November 2021 (UTC)
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