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Which of the following is not one of Euclid's axioms?
- a)The whole is greater than its part.
- b)The coinciding things are equal to one another.
- c)The things that are double the same are equal to one another.
- d)The things that are halves of the same things are equal to one another.
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Which of the following is not one of Euclids axioms?a)The whole is gre...
Explanation:
Euclid's axioms are a set of statements that serve as the foundation for geometry. These axioms are assumed to be true without proof and are used to prove various geometric theorems.
Euclid's axioms are as follows:
a) The whole is greater than its part: This axiom states that the whole quantity or magnitude is always greater than any of its parts. For example, if a line segment AB is divided into two parts, then the length of the whole line segment AB is always greater than the lengths of its individual parts, AC and CB.
b) The coinciding things are equal to one another: This axiom states that if two things coincide or are exactly the same, then they are equal. For example, if two line segments have the same length and are placed on top of each other, they are considered to be equal.
c) The things that are double the same are equal to one another: This axiom states that if two things are each exactly double the same third thing, then they are equal to each other. For example, if line segment AB is twice the length of line segment CD, and line segment CD is twice the length of line segment EF, then line segment AB is equal to line segment EF.
d) The things that are halves of the same things are equal to one another: This statement is not one of Euclid's axioms. It is not a fundamental assumption in geometry. The concept of halves is not explicitly addressed in Euclid's axioms.
In conclusion, option 'D' is the correct answer because it does not appear as one of Euclid's axioms.
Euclid's axioms are a set of statements that serve as the foundation for geometry. These axioms are assumed to be true without proof and are used to prove various geometric theorems.
Euclid's axioms are as follows:
a) The whole is greater than its part: This axiom states that the whole quantity or magnitude is always greater than any of its parts. For example, if a line segment AB is divided into two parts, then the length of the whole line segment AB is always greater than the lengths of its individual parts, AC and CB.
b) The coinciding things are equal to one another: This axiom states that if two things coincide or are exactly the same, then they are equal. For example, if two line segments have the same length and are placed on top of each other, they are considered to be equal.
c) The things that are double the same are equal to one another: This axiom states that if two things are each exactly double the same third thing, then they are equal to each other. For example, if line segment AB is twice the length of line segment CD, and line segment CD is twice the length of line segment EF, then line segment AB is equal to line segment EF.
d) The things that are halves of the same things are equal to one another: This statement is not one of Euclid's axioms. It is not a fundamental assumption in geometry. The concept of halves is not explicitly addressed in Euclid's axioms.
In conclusion, option 'D' is the correct answer because it does not appear as one of Euclid's axioms.
Community Answer
Which of the following is not one of Euclids axioms?a)The whole is gre...
This statement is not one of Euclid's axioms. The other options are valid Euclidean axioms.
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Which of the following is not one of Euclids axioms?a)The whole is greater than its part.b)The coinciding things are equal to one another.c)The things that are double the same are equal to one another.d)The things that are halves of the same things are equal to one another.Correct answer is option 'D'. Can you explain this answer?
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Which of the following is not one of Euclids axioms?a)The whole is greater than its part.b)The coinciding things are equal to one another.c)The things that are double the same are equal to one another.d)The things that are halves of the same things are equal to one another.Correct answer is option 'D'. Can you explain this answer? for Class 4 2024 is part of Class 4 preparation. The Question and answers have been prepared according to the Class 4 exam syllabus. Information about Which of the following is not one of Euclids axioms?a)The whole is greater than its part.b)The coinciding things are equal to one another.c)The things that are double the same are equal to one another.d)The things that are halves of the same things are equal to one another.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 4 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following is not one of Euclids axioms?a)The whole is greater than its part.b)The coinciding things are equal to one another.c)The things that are double the same are equal to one another.d)The things that are halves of the same things are equal to one another.Correct answer is option 'D'. Can you explain this answer?.
Which of the following is not one of Euclids axioms?a)The whole is greater than its part.b)The coinciding things are equal to one another.c)The things that are double the same are equal to one another.d)The things that are halves of the same things are equal to one another.Correct answer is option 'D'. Can you explain this answer? for Class 4 2024 is part of Class 4 preparation. The Question and answers have been prepared according to the Class 4 exam syllabus. Information about Which of the following is not one of Euclids axioms?a)The whole is greater than its part.b)The coinciding things are equal to one another.c)The things that are double the same are equal to one another.d)The things that are halves of the same things are equal to one another.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 4 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following is not one of Euclids axioms?a)The whole is greater than its part.b)The coinciding things are equal to one another.c)The things that are double the same are equal to one another.d)The things that are halves of the same things are equal to one another.Correct answer is option 'D'. Can you explain this answer?.
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