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Euclid's five postulates for class Xth

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- 2. INTRODUCTION Postulates are the assumptions that were specific to the geometry.
- 3. THE FIVE POSTULATES FIRST POSTULATE SECOND POSTULATE THIRD POSTULATE FOURTH POSTULATE FIFTH POSTULATE
- 4. FIRST POSTULATE A straight line may be drawn from any one point . This postulate tells that at least one straight line passes through two distinct points , but it does not say that there cannot be more than one such line . But Euclid generally assumed without mentioning that there is a unique line joining two points .
- 5. SECOND POSTULATE A terminated line can be produced indefinitely. This postulate shows that what we call a line segment today was called a terminated line by Euclid .so the postulate says that a line segment can be extended on either side to make a line.
- 6. THIRD POSTULATE A circle can be drawn with any centre and any radius. The meaning is very simple , this postulate shows that using an instrument a circle can be drawn at any plane because the radius remains the same.
- 7. FOURTH POSTULATE All right angles are equal. This postulate shows that every right angle is equal and of 90° and right angles will remain same . So they will be equal .
- 8. FIFTH POSTULATE If a straight line falling on two straight lines makes the interior angles on the same side of it taken together less the two right angles , then the two straight lines , if produced indefinitely meet on which the sum of angles is less than two right angles
- 9. MADE BY : ARYAVARTA GIRI CLASS : IX “C” ROLL NO. : 13
- 10. MADE BY : ARYAVARTA GIRI CLASS : IX “C” ROLL NO. : 13