Making a Triangle with >180 Degrees

[waldocat]

45.0000...0001 does not make any sense, it's absurd!

 

[Slomo4shO]

.999....999 is the only a exception. This principle is derived from our understanding of fractions. Since 2/3 = .666...666 and 1/3 = .333...333 but when you add 1/3+ 2/3 =1 but when you add .333...333 + .666...666 = .999...999

Since .9999 is a forever repeating rational number, we can argue at as we approach infinity we get a value that resembles 1.

This is also true when adding fractions of 1/x^2. You will never get to zero but the number but gets infinitely small. So by adding all values of x from 1 to infinity will also yield 1.

I have only taken a couple years of calculus, if you need a more detailed answer then you will need to look to a individual with upper division math.

 

[CycloWizard]

The horse is dead. Leave it alone!

 

[GodlessAstronomer]

This is hardly highly technical. OP needs to review what '=' means when we say 44.99... = 45.

 

[soccerballtux]

hi i was wondering if you could make a circle a square for me thx.

 

[Born2bwire]

Originally posted by: soccerballtux
hi i was wondering if you could make a circle a square for me thx.

Here ya go.

 

[bobross419]

LOL what a bunch of sarcasstiholes

 

[soccerballtux]

Originally posted by: bobross419
LOL what a bunch of sarcasstiholes

😉

 

[Shadow Conception]

I think the fact that we have repeating decimals like 0.333... and 0.999... is just one of the fallacies of our number system. I'm pretty sure there're some aliens out there that've figured out some other crazy method of counting that better represents such quantities.

 

[CP5670]

It's been done by humans. 😛 Continued fractions are finite for rational numbers like this and can still represent any real number.

 

[Twofootputt]

Originally posted by: randay
the problem here is understanding "=".

The OP says that 0.999....9 can be considered as 1.0.
That is not equal to 1.0

It's almost 1.0.

On a different scale, 0.8 is almost 1.0.

 

[Gibsons]

Originally posted by: Twofootputt

Originally posted by: randay
the problem here is understanding "=".

The OP says that 0.999....9 can be considered as 1.0.
That is not equal to 1.0

Actually it is. This is a very very very (infinity) old argument on these forums.

 

[Born2bwire]

Originally posted by: Gibsons

Originally posted by: Twofootputt

Originally posted by: randay
the problem here is understanding "=".

The OP says that 0.999....9 can be considered as 1.0.
That is not equal to 1.0

Actually it is. This is a very very very (infinity) old argument on these forums.

I was going to say this but he is techinicaly correct. 0.999...9 implies (though in a poorly stated matter since we take for granted that the "..." means an infinitely repeating sequence) that the sequence is terminating. 0.999... is an infinite sequence and would be equal to 1.0. The problem with the OP is that he was erroneously thinking that 1.0000...001 = 1.

 

[videogames101]

Guys, false pretenses here. yes, 45.9999... is indeed equal to 46. But, 2.000...0001 is NOT equal to 2. Because, if there is an infinite series of 0s, there can't be a 1 at the end, because that implies that there is an end to the series of 0s, and there isn't. You can't have an infinite series of 0s if there is something at the end.

Although, this might have already been posted, and i'm too lazy to check if someone already said this.

 

[bobdole369]

At the curved space before you reach the event horizon of a black hole?

 

[ubercaffeinated]

i haven't done math/principles in over 10 years, but i think you can have triangles > 180 under non euclidian geometry. i think that's what you want to look up.

 

[Train]

Originally posted by: TridenTBoy3555

Originally posted by: dinkumthinkum
If you want a triangle with > 180 degrees summed from the angles then try your hand at Spherical Geometry.

Damn youuuu!!! That was going to be my answer. 🙁

heh, I came in here to post that too.

 

[Shined]

I'll dip my toe here and say no it won't on the basis that when using an infinate calculation it could never be concluded in a finite amount of time and therefore can not be mathmaticly proved.

I can see what your trying to say but it has to be realized that the calculation needs to be completed in order for the triangle to be created and being that any argument is infinate negates the possibility of the calculation being completed so therefore not possible.