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This quiz consists of 5 multiple choice and 5 short answer questions through A Sampler of Euler's Number Theory.
Multiple Choice Questions
1. What were the proofs in Elements based on?
(a) Lindeman's method.
(b) Ancient greek geometry.
(c) Novel notions.
(d) Basic definitions.
2. What did British scholars accuse Leibniz of?
(a) Conspiring the death of Newton.
(b) Publishing Newton's work without his approval.
(c) Stealing Newton's Binomial theorem.
(d) Plagiarizing Newton's calculus method.
3. What does the Pythagorean Theorem state?
(a) For any right triangle the diagonal side is equal to the sum of the legs.
(b) For any right triangle the square of the diagonal side is equal to the sum of the squares of the two legs.
(c) For any triangle the sum of the legs squared is equal to the length of the hypotenuse.
(d) For any triangle the sqaured sum of the legs is equal to half the hypotenuse.
4. Which of the following was a major part of Gauss' work in mathematics?
(a) Simple proofs to demonstrate Bernoulli's series.
(b) Proofs to show that Archimedes' number theory was wrong.
(c) Proofs on the area of a square.
(d) Elemental proofs related to the foundations of algebra.
5. Which of the following were an example of twin primes?
(a) 15 and 16.
(b) 2 and 6.
(c) 19 and 22.
(d) 11 and 13.
Short Answer Questions
1. Which of the following was NOT defined by Euclid?
2. What did Dunham consider as Archimedes's "masterpiece"?
3. Which of the following is an example of a postulate that must be accepted in Elements?
4. Where did Newton go to school before he went to Cambridge?
5. What shape was NOT demonstrated in the Elements as having a relationship to other shapes?
This section contains 338 words
(approx. 2 pages at 300 words per page)