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This quiz consists of 5 multiple choice and 5 short answer questions through Heron's Formula for Triangular Area.

Multiple Choice Questions

1. What did most of Heron's work deal with?
(a) Theoretical mathematics.
(b) Practical mathematics applications.
(c) Philosophical questions on the origins of the universe.
(d) Practical solutions to public problems.

2. According to Dunham, who was most able to collect knowledge from around the globe?
(a) Roman emporers.
(b) Arabian scholars.
(c) Greek tradesman.
(d) Greek philosophers.

3. Which of the following was NOT one of the basic definitions in Elements?
(a) Parabola.
(b) Straight Line.
(c) Right angles.
(d) Line.

4. Which words best describe how solid proofs were developed in Elements?
(a) Programmed order.
(b) Axiomatic framework.
(c) Inverted scaffold.
(d) Simple arguments.

5. What name did Euclid give for numbers that could be divided by numbers other than themselves and one?
(a) Even numbers.
(b) Perfect numbers.
(c) Discrete numbers.
(d) Composite numbers.

Short Answer Questions

1. What is the name for determining the area of an enclosed space by constructing a square of equivalent area?

2. That properties of specific shapes were early Egyptians aware of?

3. What was Euclid's definition of a prime number?

4. Dunham showed that Heron's proof could also be used as which of the following?

5. What did Hippocrates do that advanced mathematical methods?

(see the answer key)

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