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/sci/ - Science & Math


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9360699 No.9360699 [Reply] [Original] [archived.moe]

Your move, brainlet

>> No.9360703
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9360703

i = 1

>> No.9360730

>>9360703
But then the hypotenuse would be square root of 2, not 0

>> No.9360743

>>9360730
No. It's not a right triangle.

>> No.9360750

>>9360699
works in the complex plane

>> No.9360752
File: 25 KB, 270x328, 1511825279623.jpg [View same] [iqdb] [saucenao] [google] [report]
9360752

>>9360699
Can't have a triangle with a side distance of zero

>> No.9360753

should be ||a|| + ||b|| = ||c|| but that's too complex for brainlets

>> No.9360754 [DELETED] 

>>9360699
Geometrically speaking, a length of "i" just doesn't make sense.

>> No.9361076

>>9360753
> ||a|| + ||b|| = ||c||
> 3 + 4 = 5
Hmm.

>> No.9361192

i= root -1
i^2 + 1^2 = 0
root -1 ^2 + 1^2 = 0
-1 + 1 = 0
0 = 0
but also this >>9360752

>> No.9361215

>>9360752
Sure you can, all the math works out. Just because you get two strait line segments atop one another does not mean you cant define a triangle that describes such a thing.

>> No.9361323

>>9360699
This shit is so retarded. Stop making this thread

>> No.9362430

>>9360699
|i|^2 + |1|^2 = 1 + 1 = 2 /= 0

Doesn't work OP

>> No.9362432

>>9362430
| a + ib |^2 = a^2 + b^2, where a and b are real.

>> No.9362440

>>9362432
And?

>> No.9363684

>>9360699
Can't have a triangle with negative side-length in Euclidean geometry.

>> No.9364509

>>9363684
>Can't have a triangle with negative side-length in Euclidean geometry.
True, but how is that related to this thread?

>> No.9364514

>>9364509
Not that guy, but what's the mathematical significance of Euclidean geometry (specifically, the Euclidean inner product) anyway?
We can't even say that "it's the geometry of the real world" anymore.

>> No.9364519

>>9361076
Hardcore shitpost

>> No.9364524

>>9361192
Pythagorean theorem actually says:

||a||^2+||b||^2 = ||c||^2

And ||i||=1

>> No.9364529
File: 3 KB, 272x228, complex.png [View same] [iqdb] [saucenao] [google] [report]
9364529

>>9360699
you labeled the wrong length as 0, anon
the hypotenuse of the "triangle" between 0+i and 1+0i is 0
see pic related

Your move

>> No.9364877

>>9364509
>Non-Euclidean geometries are geometries in which the parallel axiom does not hold. An example of this is the geometry of the sphere surface. There, the theorem of Pythagoras no longer applies, since in such geometries the interior angle theorem does not apply, that is, the sum of angles of a triangle of 180 ° is different.

Now does the parallel axiom hold? I can draw multiple lines through a point that do not meet a line drawn in the complex space, can't I?

It should be RxR where the line is drawn usually. If you adopt this for complex numbers you'd get CxC or in practical terms: RxRxImaginary part at least. I think.

>> No.9364979
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9364979

>>9364529
>3

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