The total number of propositions in the Elements are
a. 465
b. 460
c. 13
d. 55
Solution:
We know that
Theorems or propositions are statements which can be proved
Euclid deduced 465 propositions in a logical chain making use of his definitions, postulates, axioms and theorems.
Therefore, the total number of propositions is 465.
✦ Try This: Solve the equation a - 4 = 6 and state which axiom do you use here.
Given, the equation is a - 4 = 6
We have to solve the equation and state which axiom is used here.
Using Euclid’s second axiom,
If equals are added to the equals, the wholes are equal.
On adding 4 on both the sides of the equation,
a - 4 + 4 = 6 + 4
a = 6 + 4
a = 10
Therefore, the solution of the equation is a = 10.
☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 5
NCERT Exemplar Class 9 Maths Exercise 5.1 Problem 6
The total number of propositions in the Elements are a. 465, b. 460, c. 13, d. 55
Summary:
Euclid's geometry came into play when Euclid accumulated all the concepts and fundamentals of geometry into a book called 'Elements'. The total number of propositions in the Elements are 465
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