Euclid's five postulates
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1. A straight line segment can be drawn joining any two points.
2. Any straight line segment can be extended indefinitely in a straight line.
3. Given any straight lines segment, a circle can be drawn having the segment as radius and one endpoint as center.
4. All Right Angles are congruent.
5. If two lines are drawn which intersect a third in such a way that the sum of the inner angles on one side is less than two Right Angles, then the two lines inevitably must intersect each other on that side if extended far enough. This postulate is equivalent to what is known as the Parallel Postulate.
2. Any straight line segment can be extended indefinitely in a straight line.
3. Given any straight lines segment, a circle can be drawn having the segment as radius and one endpoint as center.
4. All Right Angles are congruent.
5. If two lines are drawn which intersect a third in such a way that the sum of the inner angles on one side is less than two Right Angles, then the two lines inevitably must intersect each other on that side if extended far enough. This postulate is equivalent to what is known as the Parallel Postulate.
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Here's your answer:
Euclid's five postulates are as follows:
1] A straight line may be drawn from any point to any other point.
2] A terminated line can be produced indefinitely.
3] A circle can be drawn with any centre and any radius.
4] All the right angles are equal to one another.
5] If a straight line falling on two straight lines makes the interior angles on the same side of it taken together less than two right angles, then the two straight lines, if produced indefinitely, meet on that side on which the sum of angles is less than two right angles.
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Hope this helps ☺️
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Here's your answer:
Euclid's five postulates are as follows:
1] A straight line may be drawn from any point to any other point.
2] A terminated line can be produced indefinitely.
3] A circle can be drawn with any centre and any radius.
4] All the right angles are equal to one another.
5] If a straight line falling on two straight lines makes the interior angles on the same side of it taken together less than two right angles, then the two straight lines, if produced indefinitely, meet on that side on which the sum of angles is less than two right angles.
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Hope this helps ☺️
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