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Math Help - dimension.

  1. #1
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    dimension.

    If we need to imagine that a point is dimensionless, how can we accept that a line is one-dimensional.
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  2. #2
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    Re: dimension.

    Quote Originally Posted by hisajesh View Post
    If we need to imagine that a point is dimensionless, how can we accept that a line is one-dimensional.
    Have a look at this webpage.
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  3. #3
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    Re: dimension.

    Dimension is defined by comparison with a defined unit.

    Since all points are presumed equal, there is nothing to compare.

    Two points determine a line, for which a unit can be established
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  4. #4
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    Re: dimension.

    A point as part of a line is a line segment of zero length with dimension of the line.

    If L = L1 - L2, L has dimension of L1 & L2 even when L1=L2.

    If (x,y,z) has dimensions of the coordinate system, then so does (0,0,0).

    One is reminded of a nest where every interval has a dimension, down to the point common to all intervals.
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