explain 5th posulate of euclid?
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In plannar geometry the parallel postulate is known as Euclid's fifth postulate, because it was the fifth one among those five postulates by which Euclid derived much of the planar geometry.
The fifth postulate states that :-
" If a line segment intersects two straight lines forming two interior angles on the same side that sum to less than two right angles, then the two lines, if extended indefinitely, meet on that side on which the angles sum to less than two right angles."
i.e. a line segment intersects two parallel straight lines forming two interior angles on the same side that have the sum equal to two right angles (180°).
If the sum is less than 180° , then those two lines are not parallel and they will meet if they are extended . They will meet on that side on which the sum of those two angles is less than 180° .
In plannar geometry the parallel postulate is known as Euclid's fifth postulate, because it was the fifth one among those five postulates by which Euclid derived much of the planar geometry.
The fifth postulate states that :-
" If a line segment intersects two straight lines forming two interior angles on the same side that sum to less than two right angles, then the two lines, if extended indefinitely, meet on that side on which the angles sum to less than two right angles."
i.e. a line segment intersects two parallel straight lines forming two interior angles on the same side that have the sum equal to two right angles (180°).
If the sum is less than 180° , then those two lines are not parallel and they will meet if they are extended . They will meet on that side on which the sum of those two angles is less than 180° .
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if a and b are non zero integer then q and r are another intrger
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