Podcast
Questions and Answers
What is the name of the ancient Greek mathematician credited with the development of Euclidean geometry?
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?
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?
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?
Why was the adjective 'Euclidean' unnecessary for more than two thousand years?
When were the first self-consistent non-Euclidean geometries discovered?
When were the first self-consistent non-Euclidean geometries discovered?
What is the name of the textbook on geometry attributed to ancient Greek mathematician Euclid?
What is the name of the textbook on geometry attributed to ancient Greek mathematician Euclid?
Which type of geometry was initially organized into a logical system by Euclid?
Which type of geometry was initially organized into a logical system by Euclid?
What adjective was unnecessary for more than two thousand years due to the intuitively obvious nature of Euclid's axioms?
What adjective was unnecessary for more than two thousand years due to the intuitively obvious nature of Euclid's axioms?
In what century were the first self-consistent non-Euclidean geometries discovered?
In what century were the first self-consistent non-Euclidean geometries discovered?
What are the first examples of mathematical proofs taught in secondary school (high school)?
What are the first examples of mathematical proofs taught in secondary school (high school)?