 ... 1).^{1}

In general, a point in an ndimensional Euclidean space is
represented as a point in an (n+1)dimensional projective space.
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 ... ``line''^{2}

Since it can become confusing to read statements such as,
``A point is represented as a `line,' '' we will always enclose
in quotation marks the entities whose sole purpose is visualization
in n+1 dimensions.
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 ...
space,^{3}

Do not be confused by the term space, which can refer to either
three dimensions or an arbitrary number of dimensions.
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 ...,^{4}

If
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then
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