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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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== 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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