Euclid’s Definitions, Axioms and Postulates
Chapter – Introduction to Euclid’s Geometry
Topic - Euclid’s Definitions, Axioms and Postulates
Q1. Who was Euclid?
Solution:
Euclid was a Greek mathematician who lived around 300 BC. He is known as the Father of Geometry. He wrote a famous book called Elements.
Q2. What is Euclid’s Elements?
Solution:
Elements is a famous mathematical book written by Euclid. It contains definitions, axioms, postulates and theorems related to geometry.
Q3. What is a point according to Euclid?
Solution:
A point is that which has no part. It represents an exact position and has no length, breadth or thickness.
Q4. What is a line according to Euclid?
Solution:
A line is breadthless length. It has length but no breadth.
Q5. What is a straight line according to Euclid?
Solution:
A straight line is a line that lies evenly with the points on itself.
Q6. What is an axiom?
Solution:
An axiom is a statement accepted as true without proof. It is used as a starting point for mathematical reasoning.
Q7. What is a postulate?
Solution:
A postulate is a statement about geometry that is accepted as true without proof and used to establish other geometrical results.
Q8. State Euclid’s first postulate.
Solution:
A straight line may be drawn from any one point to any other point.
Q9. State Euclid’s second postulate.
Solution:
A terminated line can be produced indefinitely.
Q10. State Euclid’s third postulate.
Solution:
A circle can be drawn with any centre and any radius.