Question

what are the Euclid's five Posutulates in Euclid's geometry.​

Answer 1

Answer:

Question:

what are the Euclid's five Posutulates in Euclid's geometry.

Solution:

Postulates in geometry are very similar to axioms, self-evident truths, and beliefs in logic, political philosophy and personal decision-making.

The five postulates of Euclidean Geometry define the basic rules governing the creation and extension of geometric figures with ruler and compass.

They are as follows:

• A straight line segment may be drawn from any given point to any other.
• A straight line may be extended to any finite length.
• A circle may be described with any given point as its center and any distance as its radius.
• All right angles are congruent.
• If a straight line intersects two other straight lines, and so makes the two interior angles on one side of it together less than two right angles, then the other straight lines will meet at a point if extended far enough on the side on which the angles are less than two right angles.

Postulate 5, the so-called Parallel Postulate was the source of much annoyance, probably even to Euclid, for being so relatively prolix.

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