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A speaker describes this graph

enter image description here

as

this is a curve running through space.

I understand "through" means

from one end or side of something to the other

source Cambridge Dictionary.

So, does "through" space means the following? I really don't understand what does "one end of space" mean.

from one end of space to the other end of space

1 Answer 1

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Here is another sense of "through":
Merriam-Webster "through" 3b
preposition 3b —used as a function word to indicate movement within a large expanse
flew through the air

In any case, the speaker may not have expressed the idea very well. They might as well have said "This is a curve in a plane."

I agree that space doesn't have beginning or end.

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  • Given the shape of the curve, I suspect this was in the context of a point on the edge of a wheel as it rolls across a surface, in which case I think the speaker may have been attempting to express that the drawing represents a curve through physical space as a wheel rolls through that space, so in that case, "space" is appropriate, and "plane" would not be. Without context it's hard to say, though..
    – Foogod
    Mar 30, 2020 at 18:11
  • I think, as long as the wheel isn't turning, that plane would still fit. Mar 30, 2020 at 20:24

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