Question

write down the 5th Axioms and Postulates of Euclid's. Explain them with examples.​

Answer 1

Answer:

Euclid's Postulate 5 :-

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

Hope it would help u friend .

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Answer 2

Answer:

Ok please understand the examples as it is quite easy :)

Step-by-step explanation:

Axioms

Things which are equal to the same thing are also equal to one another.

Eg: If x=y, x=z then y=z

If equals be added to equals, the wholes are equal.

Eg If x=y  then x+1=y+1

If equals be subtracted from equals, the remainders are equal.

Eg If x=y  then x-1=y-1

Things which coincide with one another are equal to one another. For example, if two line segments AB and CD can be made to coincide with each other exactly, then we can say that they are equal, in the sense that they have equal lengths.

Eg- If two 15 cm rulers coincide with one another when placed one upon another then they are equal in length

The whole is greater than the part.

Eg - 1 Pie is greater than half of it

Things which are double of the same things are equal to one another.

Eg If a=2x b=2x then a=b

Things which are halves of the same things are equal to one another.

Eg : If a=1/2x b=1/2x then a=b

Postulates

First Postulate: A straight line may be drawn from any one point to any other. This postulate can be extended to say that a unique (one and only one) straight line may be drawn between any two points.

Second Postulate: A terminated line (a line segment) can be produced indefinitely.

Third Postulate: A circle can be drawn with any center and any radius.

Fourth Postulate: All right angles are equal to one another.

Fifth Postulate: Given a line L and a point P not on the line, exactly one line can be drawn through P which is parallel to L

For postulates refer to the NCERT diagrams ill place the link below

https://ncert.nic.in/ncerts/l/iemh105.pdf

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