How would you rewrite Euclid’s fifth postulate so that it would be easier to understand?

AcademicMathematicsNCERTClass 9

To do:

We have to rewrite Euclid's fifth Postulate.

Solution:

Euclid’s fifth postulate:

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.

Hence,

Euclid's fifth postulate is about parallel lines.

We know that,

In geometry, parallel lines can be defined as two lines in the same plane that are at equal distance from each other and never meet.

(i) If $P$ does not lie on line $S$ then we can draw a line through $P$ which will be parallel to that of the line $S$.

(ii) There can be only one line that can be drawn through point $P$ which is parallel to line $S$.

raja
Updated on 10-Oct-2022 13:40:27

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