Euclidean Geometry: The Elements of Ancient Mathematics
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Questions and Answers

What is the name of the ancient Greek mathematician credited with the development of Euclidean geometry?

  • Aristotle
  • Euclid (correct)
  • Pythagoras
  • Archimedes
  • In Euclid's approach, what does he assume in order to deduce many other propositions?

  • Statistical data
  • Empirical observations
  • Complex equations
  • Intuitively appealing axioms (correct)
  • In what order does Euclid's Elements begin?

  • Algebra followed by number theory
  • Plane geometry followed by solid geometry (correct)
  • Number theory followed by algebra
  • Solid geometry followed by plane geometry
  • Why was the adjective 'Euclidean' unnecessary for more than two thousand years?

    <p>Euclid's axioms were intuitively obvious</p> Signup and view all the answers

    When were the first self-consistent non-Euclidean geometries discovered?

    <p>Early 19th century</p> Signup and view all the answers

    What is the name of the textbook on geometry attributed to ancient Greek mathematician Euclid?

    <p>Elements</p> Signup and view all the answers

    Which type of geometry was initially organized into a logical system by Euclid?

    <p>Plane geometry</p> Signup and view all the answers

    What adjective was unnecessary for more than two thousand years due to the intuitively obvious nature of Euclid's axioms?

    <p>Euclidean</p> Signup and view all the answers

    In what century were the first self-consistent non-Euclidean geometries discovered?

    <p>19th century</p> Signup and view all the answers

    What are the first examples of mathematical proofs taught in secondary school (high school)?

    <p>Plane geometry</p> Signup and view all the answers

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