Return to Euclid’s Elements of Geometry
Let the following be postulated:
Postulate 1.1. To draw a straight line from any point to any point.
Postulate 1.2. To produce a finite straight line continuously in a straight line.
Postulate 1.3. To describe a circle with any centre and distance.
Postulate 1.4. That all right angles are equal to one another.
Postulate 1.5. 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 the two right angles.
Return to Euclid’s Elements of Geometry
The lessons published on this site are freely available to read. If you wish to move from reading to formal study — with graded assessments, academic records, and the support of the Academy — you may enroll at any time. Enrollment is open year round, to students of all ages.