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प्रश्न
Give a definition of the following term. Are there other terms that need to be defined first? What are they, and how might you define them?
radius of a circle
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उत्तर
Yes, we need to understand terms like point, line, ray, angle, plane, circle, and quadrilateral before defining the required terms.
The distance from the centre to a point on the circle is called the radius of the circle. In the figure, p is the centre, Q is a point on the circle, and PQ is the radius.
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संबंधित प्रश्न
Give a definition of the following term. Are there other terms that need to be defined first? What are they, and how might you define them?
square
In how many points two distinct planes can intersect?
How many planes can be made to pass through three distinct points?
Euclid divided his famous treatise “The Elements” into ______.
It is known that if x + y = 10 then x + y + z = 10 + z. The Euclid’s axiom that illustrates this statement is ______.
Euclid belongs to the country ______.
Thales belongs to the country ______.
The statements that are proved are called axioms.
Read the following statement :
An equilateral triangle is a polygon made up of three line segments out of which two line segments are equal to the third one and all its angles are 60° each.
Define the terms used in this definition which you feel necessary. Are there any undefined terms in this? Can you justify that all sides and all angles are equal in a equilateral triangle.
Read the following statements which are taken as axioms:
- If a transversal intersects two parallel lines, then corresponding angles are not necessarily equal.
- If a transversal intersect two parallel lines, then alternate interior angles are equal.
Is this system of axioms consistent? Justify your answer.
