Euclid's Fifth Axiom (Noun)
Meaning
Only one line can be drawn through a point parallel to another line.
Classification
Nouns denoting cognitive processes and contents.
Examples
- Euclid's fifth axiom states that through a point not on a line, there is exactly one line that can be drawn parallel to the original line.
- The concept of Euclid's fifth axiom is crucial in understanding the principles of geometry and the properties of parallel lines.
- Euclid's fifth axiom is often referred to as the parallel postulate, and it has been the subject of much debate and exploration in the field of mathematics.
- In order to prove that two lines are parallel, one must use Euclid's fifth axiom, which states that only one line can be drawn through a point parallel to another line.
- The concept of Euclid's fifth axiom has been widely used in various fields, including architecture, engineering, and physics, to ensure that parallel lines are correctly identified and utilized.