Archive
16th of September 2015
Mathematics
Q:

dear expert ,

can you please explain me about playfair's axiom????????????

and also explain euclid's 5th posthulate

Yerram.varun Yerram - CBSE - Class IX

Wednesday, September 16, 2015 at 18:25:PM

A:

Hi Yerram,

Playfairs axiom states that ,

In a plane, given a line and a point not on it, at most one line parallel to the given line can be drawn through the point.

Suppose we have drawn a line say 'd' and taken a point  'p' which is not on that line.

We can draw infinitely many lines passing through that point 'p'. If these lines are extended they will intersect our drawn line 'd'.

There will be only one line which will never be intersecting our line 'd' this line is parallel to line 'd'.

Which is same as Euclids 5th postulate: Two lines are said to be parallel if they never meet.

 

Wednesday, September 16, 2015 at 18:38:PM