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What is the basis for Euclid's systematic treatment of geometry and number theory in the Elements?
What is the basis for Euclid's systematic treatment of geometry and number theory in the Elements?
- 6 axioms, 4 postulates, and 25 definitions
- 5 axioms, 5/1 postulates, and 23 definitions (correct)
- 10 axioms, 5 postulates, and 15 definitions
- 7 axioms, 3 postulates, and 20 definitions
How did Euclid demonstrate the existence of an infinite number of primes?
How did Euclid demonstrate the existence of an infinite number of primes?
- He used indirect proof (correct)
- He used direct proof
- He used contradiction
- He used contrapositive
What is the purpose of the Euclidean algorithm?
What is the purpose of the Euclidean algorithm?
- To calculate the square root of a number
- To produce the greatest common divisor of two numbers (correct)
- To find the least common multiple of two numbers
- To determine if a number is prime
What is the basis for Euclid's systematic treatment of geometry and number theory in the Elements?
What is the basis for Euclid's systematic treatment of geometry and number theory in the Elements?
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What did Euclid use to demonstrate the existence of an infinite number of primes?
What did Euclid use to demonstrate the existence of an infinite number of primes?
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What is the purpose of the Euclidean algorithm?
What is the purpose of the Euclidean algorithm?
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