explain the 5th Euclid's postulate in easy words
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Answer:
If equal are added to equal the answer are aqual
Answer:
Answer:Fifth postulate of Euclid geometry:
Answer:Fifth postulate of Euclid geometry: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 angle.
another explanation
fig. 2.
In the above figure, consider line l and a point P not lying on l. Now, we know that infinite number of lines can pass through a given point. Thus, infinite lines can pass through point P. But, are all the lines parallel to line l or are some of them parallel to line l or are none of them parallel to line l? According to Playfair there is only line passing through P which will be parallel to line m.
In the above figure, consider line l and a point P not lying on l. Now, we know that infinite number of lines can pass through a given point. Thus, infinite lines can pass through point P. But, are all the lines parallel to line l or are some of them parallel to line l or are none of them parallel to line l? According to Playfair there is only line passing through P which will be parallel to line m.Draw any line passing through point P, say line s. If you draw a transversal cutting lines s and l and passing through point P, you can see that on one of the sides, the sum of co-interior angles will be less than 180° thus both the lines will meet in that direction. There is only one possibility, i.e. line m, in which the sum of the co-interior angles if exactly 180° on both the sides. Hence in this case both the lines will never meet.
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