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Results tagged with alternative-proof
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user 87779
Looking for a proof different from the standard proof(s) of a result
35
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17
answers
6k
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Which theorems have Pythagoras' Theorem as a special case?
Loomis famously wrote hundreds of proofs of Pythagoras' Theorem (reference below), but these are all basically proofs "from below". Today on Twitter @panlepan mentioned Carnot's theorem which has Pyt …
3
votes
0
answers
106
views
Examples of "proof by generalising" [duplicate]
In a previous post I asked (Which theorems have Pythagoras' Theorem as a special case?).
Are there any compelling examples where it is significantly "easier"/"simpler" to prove a more general or more …
- 346
2
votes
Theorems with many proofs
I think two important characteristics are
The importance of the theorem itself
The extent of connections within the subject
These two are not, of course, mutually exclusive!
This book is a recent di …