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This quiz consists of 5 multiple choice and 5 short answer questions through Cardano and the Solution of the Cubic.

Multiple Choice Questions

1. Which was true of Euclid's number theory?
(a) It has been proven too basic to be useful.
(b) It was proven to the true by Hippocrates.
(c) It has an impact on modern math.
(d) It was incorrect, as proved by Plato.

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

3. That properties of specific shapes were early Egyptians aware of?
(a) Pi and the diameter of a circle.
(b) Parallelograms.
(c) Right triangles.
(d) Irregular solids.

4. What do we know in modern times about Heron?
(a) We know very little, but much of his work survives.
(b) We know he lived in Rome.
(c) We know he was an influencial scholar, but we don't know who his students were.
(d) We know he was a teacher and philosopher but much of his work has been lost.

5. Heron devised which of the following methods?
(a) A way to determine the area of a triangle.
(b) A way to solve binomial equations.
(c) A way to apply mathematics to public health.
(d) A way to determine the volume in a sphere.

Short Answer Questions

1. What did the Pythagorean Theorem accomplish for mathematics?

2. "Straight lines in the same plane that will never meet if extended forever" is a definition of what?

3. Where was Archimedes born?

4. How many definitions were stated in Elements?

5. Which is a geometric concept that humans have been aware of since the dawn of agriculture?

(see the answer key)

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