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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 was true when Euler used n = 5 in the statement 2²ⁿ + 1?
(a) The statement was a prime number.
(b) The statement was a perfect number.
(c) The statement was a composite number.
(d) The statement was not a prime number.

2. Exactly what limit is reached at a quartic equation?
(a) The limit of the Pythagorean Theorem.
(b) The limit of logical geometric proofs.
(c) The limit of algebra.
(d) The limit of the decompressed cubic method.

3. Which is one of the common notions presented in Elements?
(a) "Points with equal values can be connected with a line of equal value."
(b) "Things with are equal have an inverse that is equal."
(c) "Things which are equal to the same thing are also equal to each other."
(d) "The inverse of a line makes a circle."

4. Who was del Ferro's student?
(a) Antonio Fior.
(b) Niccolo Fontana.
(c) Gerolamo Cardano.
(d) Luca Pacioli.

5. After working on pi, what did Archimedes continue with in his study of mathematics?
(a) He studied the relationship of sine to cosine.
(b) He studied the volume and surface area of spheres, cones, and cylinders.
(c) He studied the relationship between ratios in triangles.
(d) He studied the volume to surface area ratios of cubes.

Short Answer Questions

1. Who was Eratosthanes?

2. What did the Pythagorean Theorem accomplish for mathematics?

3. Where did Hippocrates come from?

4. In what century did Archimedes live?

5. What did Dunham claim about Archimedes's determination of a number value for pi?

(see the answer key)

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