Talk:Square pyramidal number: Difference between revisions

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::::That website helped '''''a lot'''''. There is so much information on there about what I was looking for that it gave me a slight inferiority complex because of how many ''hours'' and ''hours'' I spent working on this stuff when it took me under a second to get a full sequence along with formulas. To my relief though, there was a few things that it didn't know, so I don't feel as bad, but it knows enough to give a good resorce. Be prepared for a new article on the subject, but there are two more things. First, I don't know what I should title it; I've recently been refering to the topic as tessellation conglomerates for lack of a better term, but that name is completely made up by me. Also, when I finish, it might be good to move "Squares in a square" to the page. (I realize what I've been typing takes up a lot of room. I won't be offended if you delete my previous entries.) [[User:Frivolous Consultant|Frivolous Consultant]] ([[User talk:Frivolous Consultant|talk]]) 23:21, 25 October 2012 (UTC)
 
== Quadrature of the parabolaParabola with the "square pyramidal number" (new proof) ==
I found that the "square pyramidal number" can be used to prove the theorem of Archimedes on the area of ​​parabolic segment. The proof, carried out without the use of "mathematical analysis", is on the site "Leggendo Archimede" on page 02, at the following web address:
https:
:https://sites.google.com/site/leggendoarchimede/
:On page 07 of that site, in the article "Numeri e geometria", is exposed an ingenious method to derive the first"square formulapyramidal of this articlenumber", and others sums of the same type, using geometric patterns in the spaces of 2 and 3 dimensions. Luciano Ancora - 11:22, 5 mag 2013 <small><span class="autosigned">— Preceding [[Wikipedia:Signatures|unsigned]] comment added by [[User:Ancora Luciano|Ancora Luciano]] ([[User talk:Ancora Luciano|talk]] • [[Special:Contributions/Ancora Luciano|contribs]]) </span></small><!-- Template:Unsigned --> <!--Autosigned by SineBot-->