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प्रश्न
Attempts to prove Euclid’s fifth postulate using the other postulates and axioms led to the discovery of several other geometries.
विकल्प
True
False
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उत्तर
This statement is True.
Explanation:
All attempts to prove the fifth postulate as a theorem led to a great achievement in the creation of several other geometries. These geometries are quite different from Euclidean geometry and called non-Euclidean geometry.
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संबंधित प्रश्न
Consider two ‘postulates’ given below:-
- Given any two distinct points A and B, there exists a third point C which is in between A and B.
- There exist at least three points that are not on the same line.
Do these postulates contain any undefined terms? Are these postulates consistent? Do they follow from Euclid’s postulates? Explain.
In how many points two distinct lines can intersect?
How many planes can be made to pass through a line and a point not on the line?
How many planes can be made to pass through two points?
Euclid divided his famous treatise “The Elements” into ______.
In Indus Valley Civilisation (about 3000 B.C.), the bricks used for construction work were having dimensions in the ratio ______.
Greek’s emphasised on ______.
The edges of a surface are curves.
In the following figure BM = BN, M is the mid-point of AB and N is the mid-point of BC. Show that AB = BC.
The following statement is true or false? Give reason for your answer.
In the following figure, if AB = PQ and PQ = XY, then AB = XY.
