Mathematics and Ancient Algorithms
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Questions and Answers

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?

  • He used indirect proof (correct)
  • He used direct proof
  • He used contradiction
  • He used contrapositive
  • 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?

    <p>5 axioms, 5/1 postulates, and 23 definitions</p> Signup and view all the answers

    What did Euclid use to demonstrate the existence of an infinite number of primes?

    <p>Indirect proof</p> Signup and view all the answers

    What is the purpose of the Euclidean algorithm?

    <p>To produce the greatest common divisor of two numbers</p> Signup and view all the answers

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