If you create a line in say CorelDraw you need to give the line a height e.g thickness. Does this mean a line must therefore have 2 dimensions?
We say that a line has one dimension.
A line only has one dimension in its pure, mathematical form. Since we use mathematics to define what a line is in the first place, this means that it is the quintessential one-dimensional object. However, practically speaking, lines have two dimensions whenever we draw them.
You can think of it this way. We all know what a circle is. The defining characteristic of a circle is that it is perfectly, absolutely round. But if you draw a circle on a piece of paper, it will never be perfectly round. In fact, if you use a computer to draw it, it won’t be perfectly round either, because there are only so many pixels and on super-zoom it will look pixelated instead of like the smooth curve of our theoretical circles. Besides, the atoms that make up the line you’ve drawn are not in perfect curves.
These mathematical objects are therefore never realized as perfectly in the real world as they are in our equations and our minds. So a line is a one-dimensional object… but every time you draw one, it has two dimensions.
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