Advertisements
Advertisements
प्रश्न
The total number of propositions in the Elements are ______.
पर्याय
465
460
13
55
Advertisements
उत्तर
The total number of propositions in the Elements are 465.
Explanation:
The statements that can be proved are called propositions or theorems. Euclid deduced 465 propositions in a logical chain using his axioms, postulates, definitions and theorems.
APPEARS IN
संबंधित प्रश्न
How many lines can be drawn through both of the given points?
The three steps from solids to points are ______.
The side faces of a pyramid are ______.
Thales belongs to the country ______.
Solve the following question using appropriate Euclid’s axiom:
In the following figure, we have AB = BC, BX = BY. Show that AX = CY.

Solve the following question using appropriate Euclid’s axiom:
In the following figure, we have ∠ABC = ∠ACB, ∠3 = ∠4. Show that ∠1 = ∠2.

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.
The following statement is true or false? Give reason for your answer.
A terminated line can be produced indefinitely on both the sides.
The following statement is true or false? Give reason for your answer.
If two circles are equal, then their radii are equal.
