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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 the title of Cardano's book which contained the solution to the cubic?
(a) Ars Magna.
(b) Tarsisia.
(c) Elements.
(d) La Magnifica.

2. What hindered Euler's work as he grew older?
(a) His hearing was getting worse.
(b) His increasing blindness.
(c) He had very bad arthritis.
(d) He had a stroke.

3. What was known about pi, during Archimedes' time?
(a) Nothing, the concept of pi was unknown.
(b) That it could not be assigned a relationship between measurements in a circle.
(c) That is was the relationship between the diameter and circumference of a circle.
(d) That it was never the same number value for a given circle.

4. What else, besides a solution to cubic equations, was in Cardano's book?
(a) A suggested method to depress all complex geometry.
(b) A proof of the Pythagorean Theorem.
(c) A solution to quartic equations.
(d) An alegrabic solution to quintic equations,

5. Dunham showed that Heron's proof could also be used as which of the following?
(a) A proof of the Pythagorean Theorem.
(b) A proof of Euclid's number theory
(c) A proof of Archimedes' number theory.
(d) A proof of Hippocrates' squared areas.

Short Answer Questions

1. Which of the following was NOT one of Gauss' discoveries?

2. Who's method did Tartaglia's challenger use in the contest to solve cubic equations?

3. What was Hippocrates's great advance to mathematics?

4. What was Hippocrates famous for?

5. What do we know in modern times about Heron?

(see the answer key)

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