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Volume  Volume1\Linear Perspective

Entry#  47. Of the line (47-48).


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DEFINITION OF THE NATURE OF THE LINE.


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.


HOW WE MAY CONCLUDE THAT A SUPERFICIES TERMINATES IN A POINT?


An angular surface is reduced to a point where it terminates in an

angle. Or, if the sides of that angle are produced in a straight

line, then--beyond that angle--another surface is generated,

smaller, or equal to, or larger than the first.


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