# how to define imaginary circle?

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Hello,
there are two circles in nature a real circle well defined in mathematics.
And an imaginary circle in our head that can not be defined.

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There is no circle in nature. There is only one circle, the idealized, abstract one in our minds. Which is represented by the mathematical circle, the set of complex numbers of modulus 1. Or if you prefer, the set of points in the Euclidean plane a distance of exactly 1 from the origin.

Ah, I reread what you said. That while I said the mathematical circle represents the abstract idea of a circle; you are calling these two separate things.

I believe you are right. It's an assumption that the math circle represents the idea of a circle. But that's not an actual fact, only an assumption. Just as it's an assumption that the real number line may be identified with the line of geometry.

Is that what you are saying? If so I agree.

Edited by wtf

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I do not believe that the minimum distance between two points is a straight line as the math say because in my head the shortest distance between two points is not a straight line
but an imaginary circle with a zero distance.

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3 minutes ago, Z10 said:

I do not believe that the minimum distance between two points is a straight line as the math say because in my head the shortest distance between two points is not a straight line
but an imaginary circle with a zero distance.

So the shortest distance between London and Paris is a circle? That doesn't make much sense.

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I do not think that the minimum distance between two points is
a straight line.
in my head the minimum distance between two points is an imaginary
circle with zero distance.
Edited by Z10

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Although, thinking about it, the shortest distance between two points on the surface of the Earth is a great circle, but I suspect that is not what you are thinking of.

Just now, Z10 said:

I do not think that the minimum distance between two points is
a straight line.
in my head the minimum distance between two points is an imaginary
circle with zero distance.

So the shortest distance between London and Paris is an imaginary circle?

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when we have defined the imaginary number we defined
an impossibility i2 = -1
I want to define in the same way an impossible circle to do is that
reduces the distance between points in zero.
Edited by Z10

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16 minutes ago, Z10 said:

when we have defined the imaginary number we defined an impossibility i2 = -1

i2 = -1 is not an impossibility.

16 minutes ago, Z10 said:

I want to define in the same way an impossible circle to do is that reduces the distance between points in zero.

How are you going to do that?

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can not find a real with i2 = -1 so we invented i.
and their use has reduced the complexity of the problems.

so if it defines an imaginary circle that connects the points
by a null distance it can help us to solve complex problems.

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12 minutes ago, Z10 said:

so if it defines an imaginary circle that connects the points by a null distance it can help us to solve complex problems.

And how are you going to do this?

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I do not know.
maybe our imaginary circle is the circle that can be transformed
into a square.
this circle does not exist then maybe it is an imaginary circle.
Edited by Z10

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!

Moderator Note

Your posts thus far are somewhat incoherent, and lacking in rigor and focus. You need to make more sense, and be discussing topics relevant to this site.

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I am sorry . I do not know how to speak english well to explain the meaning

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26 minutes ago, Z10 said:

I am sorry . I do not know how to speak english well to explain the meaning

Perhaps you should find a forum in your native language.