Euclid's Third Axiom (Noun)
Meaning
A circle with any radius can be drawn around any point.
Classification
Nouns denoting cognitive processes and contents.
Examples
- Euclid's third axiom is fundamental to geometry as it asserts that a circle with any radius can be drawn around any point.
- By Euclid's third axiom, a circle of radius r can be drawn with any given center.
- This ancient principle, also known as Euclid's third axiom, implies that we can draw circles around any point.
- According to Euclid's third axiom, circles of any size can be drawn with a compass and straightedge around any given point.
- The ability to draw circles with any radius, as stated by Euclid's third axiom, greatly facilitates various geometric constructions.