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This quiz consists of 5 multiple choice and 5 short answer questions through A Gem from Isaac Newton.

Multiple Choice Questions

1. How many sides did the pentadecagon have, as presented by Euclid?
(a) Fifteen.
(b) Twenty.
(c) Ten.
(d) Five.

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

3. What did Archimedes manage to prove using Euclid's ideas?
(a) That the value of pi is proportional to the area of the circle.
(b) That the area of a circle and the square of its diameter is really the same as the relationship of diameter to circumference.
(c) That the square of a diameter is equal to pi.
(d) That the relationship of area to circumference is really the same as the relationship of radius to diameter.

4. As described by Archimedes, what is always true about he diameter of the circle?
(a) It's never proportional to its circumference.
(b) It's always proportional to its circumference.
(c) It's equal to pi.
(d) It's equal to the square of the radius.

5. Which of the following was NOT true about Archimedes, according to Dunham?
(a) Archimedes died because he refused to follow orders until he completed a math problem.
(b) His death was described as being by the hands of a Roman invader.
(c) He died during the fall of Syracuse.
(d) He died as a soldier.

Short Answer Questions

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

2. Which word best describes Newton's childhood?

3. What was known about pi, during Archimedes' time?

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

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

(see the answer key)

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