The line has in itself neither matter nor substance and may rather be called an imaginary idea than a real object; and this being its nature it occup… - Leonardo da Vinci

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The line has in itself neither matter nor substance and may rather be called an imaginary idea than a real object; and this being its nature it occupies no space. Therefore an infinite number of lines may be conceived of as intersecting each other at a point, which has no dimensions and is only of the thickness (if thickness it may be called) of one single line.