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what is Euclid postulates

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what is Euclid postulates
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Yogita Ingle 4 years, 11 months ago

Before discussing Euclid’s Postulates let us discuss a few terms as listed by Euclid in his book 1 of the ‘Elements’. The postulated statements of these are:

  • Assume the three steps from solids to points as solids-surface-lines-points. In each step, one dimension is lost.
  • A solid has 3 dimensions, the surface has 2, the line has 1 and point is dimensionless.
  • A point is anything that has no part, a breadthless length is a line and the ends of a line point.
  • A surface is something which has length and breadth only.

It can be seen that the definition of a few terms needs extra specification. Now let us discuss these Postulates in detail.

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