Category:Lines

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This category contains results about Lines.
Definitions specific to this category can be found in Definitions/Lines.


In the words of Euclid:

A line is breadthless length.

(The Elements: Book $\text{I}$: Definition $2$)


This can be interpreted to mean that a line is a construct that has no thickness.

This mathematical abstraction can not of course be actualised in reality because however thin you make your line, it will have some finite width.

It can be considered as a continuous succession of points.