Euclid, Elements of Geometry, Book I, Postulates
(Edited by Sir Thomas L. Heath, 1908)

Postulates [Heath's Edition]

Let the following be postulated:

  1. To draw a straight line from any point to any point.
  2. To produce a finite straight line continuously in a straight line.
  3. To describe a circle with any centre and distance.
  4. That all right angles are equal to one another.
  5. That, if a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than two right angles.

Book I: Euclid, Book I (ed. Sir Thomas L. Heath, 1st Edition, 1908)

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