Question

write the fifth postulate given by Euclid

Answer 1

Euclid derived much of the planar geometry from five postulates.

A straight line may be drawn between any two points.

A piece of straight line may be extended indefinitely.

A circle may be drawn with any given radius and an arbitrary center.

All right angles are equal.

If a straight line crossing two straight lines makes the interior angles on the same side less than two right angles, the two straight lines, if extended indefinitely, meet on that side on which are the angles less than the two right angles.

Answer 2

Here are the Postuates given by Euclid :

1. A straight linemay be drawn from any point.

2. A terminated line can be produced indefinitely.

3. A circle can be drawn with any centre and any radius.

4. All right angles are equal to one another.

5. If a straight line falling on two straight
line makes the interior angles on the same side of it taken together less than two right angles, then two straight lines, if produced indefinitely meet on that side on which the sum of angles is less than two right angles.