Content deleted Content added
m Maintain {{WPBS}} and vital articles: 1 WikiProject template. Create {{WPBS}}. Keep majority rating "C" in {{WPBS}}. Remove 1 same rating as {{WPBS}} in {{Math rating}}. Remove 1 deprecated parameter: field. Tag: |
→Better visual proof: new section |
||
Line 90:
:::::Triangular numbers of squares are a different topic than this article. This article is about squares of triangular numbers. —[[User:David Eppstein|David Eppstein]] ([[User talk:David Eppstein|talk]]) 17:40, 7 April 2022 (UTC)
::::::I know, but the sum of two consecutive Squared triangular numbers is a Triangular numbers of squares [[User:KlokkoVanDenBerg|KlokkoVanDenBerg]] ([[User talk:KlokkoVanDenBerg|talk]]) 17:42, 7 April 2022 (UTC)
== Better visual proof ==
[[File:Nicomachus_theorem_2D.svg|thumb|Alternative proof using squares <ref id="nelsen">[http://scribd.com/document/758658549/Proofs-without-Words-Exercises-in-Visual-Thinking-Volume-1-Roger-B-Nelsen#page=96 Roger B. Nelsen, ''Proofs Without Words Exercises in Visual Thinking'', Volume 1,] [http://dn720001.ca.archive.org/0/items/proofs-without-words-roger-nelsen/Proofs%20without%20Words%20-%20Roger%20Nelsen_text.pdf page 87]</ref>]]
{{user|David Eppstein}} reverted my addition of this image with the comment ''"we have enough *sourced* visual proofs of this that we do not need to add additional unsourced and illegible ones"''. It was my mistake to not put in a source; I have now found two.<ref id="nelsen" />
This diagram is a more general geometric proof than the other two, which just shows that the relation holds for small integers.
Can you please describe how it is illegible and how it can be improved?
Thanks, '''[[User:cmglee|cmɢʟee]]''' [[User_Talk:cmglee|τaʟκ]] <span style="font-size:80%;">(please add <code>{{ping|cmglee}}</code> to your reply)</span> 00:38, 28 August 2025 (UTC)
| |||