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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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May I suggest that deleting or changing another mathematicians website without discussion is, at best, vandalism. It would have at least been courteous to raise your comments in discussion before arbitrary, anonymous censorship.
[[User:Hoarwithy|Hoarwithy]] ([[User talk:Hoarwithy|talk]]) 21:27, 1 October 2011 (UTC)
:::: '''I will not discuss this further. However, be advised that your webpage does not meet Wikipedia's standards as a source or reference. Adding it to these pages will be considered vandalism.''' <span style="font-size: smaller;" class="autosigned">— Preceding [[Wikipedia:Signatures|unsigned]] comment added by [[Special:Contributions/184.153.109.223|184.153.109.223]] ([[User talk:184.153.109.223|talk]]) 17:02, 3 October 2011 (UTC)</span><!-- Template:Unsigned IP --> <!--Autosigned by SineBot-->
How strange you no longer wish to discuss this. In much the same way you took it upon yourself to delete a section without discussion, and when asked for justification have been unable to come up with any despite claiming it is readily available. This surely suggests it is you who are guilty of vandalism and are hardly in a position to accuse others of it.
[[User:Hoarwithy|Hoarwithy]] ([[User talk:Hoarwithy|talk]]) 22:52, 3 October 2011 (UTC)
== Combine IV and V? ==
Suggestion: Sections IV and V might be combined into a section called "Variations on Euclid"? <span style="font-size: smaller;" class="autosigned">— Preceding [[Wikipedia:Signatures|unsigned]] comment added by [[Special:Contributions/184.153.109.223|184.153.109.223]] ([[User talk:184.153.109.223|talk]]) 06:06, 1 October 2011 (UTC)</span><!-- Template:Unsigned IP --> <!--Autosigned by SineBot-->
== weird TeX ==
Someone who worked here extensively wrote a lot of stuff like this:
: {{a}^{2}} + {{b}^{2}} = {{c}^{2}}
within math tags, instead of
: 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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