The other name of spherical geometry is
Important Questions on Lines and Angles
In how many points two distinct lines can intersect?
In the following figure, name two pairs of non-intersecting line segments.
Two distinct lines cannot have more than one point in common.
Is the following statement a direct consequence of Euclid's fifth postulate?
"There exists a pair of straight lines that are everywhere equidistant from one another."
Hint: Use play fairs axiom, which is equivalent to Euclid's fifth postulate.
Attempts to prove Euclid's fifth postulate using the other postulate and axioms led to the discovery of several other geometries.
How many books are there in Euclid’s Elements ?
Two intersecting lines cannot both be parallel to the same line.
Does Euclid fifth postulate imply the existence of parallel lines? Explain.
If the sum of interior angles of a triangle is , then find the value of .
The non-Euclidean geometry is not applicable on curved surfaces.
If the diagonal of a square is ‘a’ units, what is the diagonal of the square, whose area is double that of the first square?
