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 (C)</p> Signup and view all the answers

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

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

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

<p>Elements (D)</p> Signup and view all the answers

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

<p>Plane geometry (B)</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 (A)</p> Signup and view all the answers

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

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

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

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

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