Question

3- The existence of more than one parallel to a straight line known from a point outside it, and this assumption led to the construction of a new geometry o Euclidean o hollow o asymmetric o Other

Answer 1

This question refers to the existence of more than one parallel line to a given line from a point outside of it, which led to the development of Non-Euclidean geometry. In specific terms to hyperbolic geometry, numerous parallel lines can be drawn through a point that isn't on a given line. This concept has broadened our understanding of geometry and includes applications in various mathematical and physical arenas.

Step-by-step explanation:

The existence of more than one parallel to a straight line from a point outside it is an assumption that led to the development of Non-Euclidean geometry. In Euclidean geometry, a fundamental postulate is that only one line can be drawn parallel to a given line through a point not on the line. However, in Non-Euclidean geometry, particularly in hyperbolic geometry, an infinite number of parallel lines can be drawn through a point outside a given line. This assumption has greatly expanded the field of geometry and has significant applications in many areas of mathematics and physics, including the theory of relativity.

Learn more about Non-Euclidean Geometry