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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?
square
उत्तर
A square is a quadrilateral having all sides of equal length and all angles of the same measure, i.e.,90°. We must know about quadrilateral, side, and angle to define a square.
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संबंधित प्रश्न
Consider two ‘postulates’ given below:-
- Given any two distinct points A and B, there exists a third point C which is in between A and B.
- There exist at least three points that are not on the same line.
Do these postulates contain any undefined terms? Are these postulates consistent? Do they follow from Euclid’s postulates? Explain.
How many lines can be drawn through a given point.
How many least number of distinct points determine a unique plane?
How many planes can be made to pass through two points?
A pyramid is a solid figure, the base of which is ______.
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 ______.
“For every line l and for every point P not lying on a given line l, there exists a unique line m passing through P and parallel to l ” is known as Playfair’s axiom.
Read the following axioms:
- Things which are equal to the same thing are equal to one another.
- If equals are added to equals, the wholes are equal.
- Things which are double of the same thing are equal to one another.
Check whether the given system of axioms is consistent or inconsistent.
