/sci/ - Science & Math » Thread #13820781

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Explain me this - Geometry

Anonymous Fri 05 Nov 03:35:36 2021 No.13820781 View Reply Original Report

Quoted By: >>13820809 >>13820825 >>13820876 >>13821230 >>13821291 >>13821657 >>13821736

Can someone explain the Pythagorean Theorem
in other words the formula a^2+b^2+c^2 formula.

>is there more versions of it ?
>is the use for it calculating distance ?

Anonymous

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Anonymous Fri 05 Nov 2021 03:44:31 No.13820809 Report

Quoted By: >>13820818

>>13820781

Anonymous

Anonymous Fri 05 Nov 2021 03:47:39 No.13820818 Report

Quoted By: >>13820821 >>13823042

>>13820809
that's not a proof

Anonymous

Anonymous Fri 05 Nov 2021 03:49:18 No.13820821 Report

Quoted By: >>13820824

>>13820818
A proof isn't an intuitive explanation unless you're a sperg

Anonymous

Anonymous Fri 05 Nov 2021 03:51:16 No.13820824 Report

Quoted By: >>13820836

>>13820821
Shower your constant perspiration makes you immunologically unbreedable and the scent of onions and Cheeto puffs

Anonymous

Anonymous Fri 05 Nov 2021 03:51:57 No.13820825 Report

Quoted By:

>>13820781
Be careful, if A and B are the same then C explodes in your face because C is fake (according to /sci/ experts)

Anonymous

Anonymous Fri 05 Nov 2021 03:55:29 No.13820836 Report

Quoted By: >>13820849

>>13820824
>Um... sir, do you have a proof for that?

Anonymous

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Anonymous Fri 05 Nov 2021 03:59:51 No.13820849 Report

Quoted By:

>>13820836
Soon in the inevitable future

Anonymous

Anonymous Fri 05 Nov 2021 04:10:13 No.13820861 Report

Quoted By: >>13820868

The phytagoras formula is a special case
https://en.wikipedia.org/wiki/Metric_tensor

Anonymous

Anonymous Fri 05 Nov 2021 04:13:01 No.13820868 Report

Quoted By:

>>13820861
Stop posting about tensors if you have no idea wtf you're talking about.

Anonymous

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Anonymous Fri 05 Nov 2021 04:16:08 No.13820876 Report

Quoted By:

>>13820781

Anonymous

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Anonymous Fri 05 Nov 2021 07:48:19 No.13821230 Report

Quoted By: >>13821556

>>13820781

Anonymous

Anonymous Fri 05 Nov 2021 08:19:21 No.13821291 Report

Quoted By:

>>13820781
You have to be +18 to post here

Anonymous

Anonymous Fri 05 Nov 2021 10:24:28 No.13821556 Report

Quoted By:

>>13821230
I think this the most intuitive proof

Anonymous

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Anonymous Fri 05 Nov 2021 11:10:13 No.13821657 Report

Quoted By: >>13821690

>>13820781
what needs explaining OP? it's pretty self-evident

Anonymous

Anonymous Fri 05 Nov 2021 11:20:44 No.13821690 Report

Quoted By: >>13821711 >>13821715 >>13821728

>>13821657
Is there an actual geometric interpretation for a triangle with side-length i?

Anonymous

Anonymous Fri 05 Nov 2021 11:30:19 No.13821711 Report

Quoted By: >>13821723 >>13821758

>>13821690
>length
metrics are defined with a non-negative real output
you'd have to introduce some nonstandard stuff, or just use 'i' as a stand in for 1

Anonymous

Anonymous Fri 05 Nov 2021 11:32:53 No.13821715 Report

Quoted By: >>13821723

>>13821690
No because it's a bogus statement. You could draw a triangle in the complex plane with coordinates (0,0), (1,0), (0,i) but the side would then have a length (magnitude) of 1.

Anonymous

Anonymous Fri 05 Nov 2021 11:39:17 No.13821723 Report

Quoted By: >>13821728 >>13821758

>>13821711
>metrics are defined with a non-negative real output
Why can't they be complex?

>>13821715
>You could draw a triangle in the complex plane with coordinates (0,0), (1,0), (0,i)
That's not the same as having a length of i.

Anonymous

Anonymous Fri 05 Nov 2021 11:41:51 No.13821728 Report

Quoted By: >>13821731

>>13821690
>>13821723
It's nonsense. It's like asking can you have a triangle with a side length of -1

Anonymous

Anonymous Fri 05 Nov 2021 11:42:29 No.13821731 Report

Quoted By:

>>13821728
>It's like asking can you have a triangle with a side length of -1
Which would be a fair question; but no, it's actually not like that.

Anonymous

Anonymous Fri 05 Nov 2021 11:45:34 No.13821736 Report

Quoted By:

>>13820781
C is the usual norm in R2 induced by the inner product

Anonymous

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Anonymous Fri 05 Nov 2021 11:48:17 No.13821739 Report

Quoted By:

Anonymous

Anonymous Fri 05 Nov 2021 12:01:08 No.13821758 Report

Quoted By: >>13821762

>>13821723
>Why can't they be complex?
see >>13821711

Anonymous

Anonymous Fri 05 Nov 2021 12:03:18 No.13821762 Report

Quoted By: >>13821781 >>13822348

>>13821758
But almost anything in math starts off being defined in a narrow and specific way, before gradually becoming more general and abstract.

Anonymous

Anonymous Fri 05 Nov 2021 12:11:17 No.13821781 Report

Quoted By:

>>13821762
maybe you are looking for vectors, whose quantities do not always have to be positive reals

Anonymous

Anonymous Fri 05 Nov 2021 15:42:07 No.13822348 Report

Quoted By:

>>13821762
walmart vsauce made a video on exactly that just a few days ago

Anonymous

Anonymous Fri 05 Nov 2021 19:37:18 No.13823042 Report

Quoted By:

>>13820818
You asked for an explanation, not a proof.

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