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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 Dunham discuss for many pages in this chapter?
(a) Heron's political tendancy.
(b) Heron's religious beliefs-
(c) Heron's origins of the universe.
(d) Heron's complicated proof.

2. What did Apollonius work with in mathematics?
(a) He develped a way to measure the volume of a sphere.
(b) He worked on conics.
(c) He discovered the algrebraic equation.
(d) He worked on advanced algebra.

3. Which of the following is an example of a perfect number?
(a) 10.
(b) 20.
(c) 6.
(d) 1.

4. How many definitions were stated in Elements?
(a) Five.
(b) Twenty-three.
(c) Thirty.
(d) Eighteen.

5. What did Dunham consider as Archimedes's "masterpiece"?
(a) Archimedes' work on determining a number value for pi.
(b) Archimedes' work on determining angular measurements.
(c) Archimedes' work on volume to surface area ratios.
(d) Archimedes' work on shperes, cones, and cylinders.

Short Answer Questions

1. Which is one of the common notions presented in Elements?

2. Which of the following is false about the modern implications of Euclid's number theory?

3. What did Dunham consider extraordinary about the Elements?

4. What did Ferdinand Lindeman prove in 1882?

5. Which words best describe how solid proofs were developed in Elements?

(see the answer key)

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