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

2. Who was the author of the book Elements?
(a) Hippocrates.
(b) Einstein.
(c) Euclid.
(d) Lindemann.

3. What did Gauss set out to prove?
(a) That a circle can have less than 360 degrees.
(b) That the sum of the angles in a triangle is 180 degrees.
(c) That Euclid's postulate on straight lines was incorrect.
(d) That a right angle is always equal to 90 degrees.

4. Which of the following was NOT one of the things Dunham claimed was ingenious about Euclid's proof of the Pythagorean theorem?
(a) Euclid used his own axioms and propositions to show relationships,
(b) Euclid stated that the diagonal hypotenuse of a right triangle is equal to the sums of the squares of the two legs.
(c) Euclid used propositions about similar angles and parallel lines.
(d) Euclid constructed squares on the sides of right triangles.

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

Short Answer Questions

1. Which of the following was one of Euclid's great theorems?

2. Who was Heron?

3. What did Dunham consider extraordinary about the Elements?

4. In Elements, how many postulates must be accepted as given?

5. Which of the following were an example of twin primes?

(see the answer key)

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