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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. Which of the following is INCORRECT, and not used in Archimedes proof of his theory?
(a) Since the diameter of a circle is equal to the hypotenuse of the right triangle, the area of the triangle in his proof is 1/2 the radius times the circumference.
(b) Since the circumference can also be expressed as twice the radius multiplied by π, the area is 2πr²/2, or πr².
(c) The area of a triangle is one half the base times the height.
(d) Since the base of the triangle is equal to the circumference and the height is the radius, the area of the triangle in his proof is 1/2 the radius times the circumference.

2. Which of the following is false about the modern implications of Euclid's number theory?
(a) Great mathematicians continue to puzzle over some aspects of Euclid's number theory.
(b) Euclid gave a good idea for how to construct even perfect numbers.
(c) Euclid's recipe for constructing even perfect numbers is incorrect.
(d) Whether there are no odd perfect numbers is still not known.

3. Which of the following becomes an important definition in mathematics that was first presented in Elements?
(a) Intersection.
(b) Circle.
(c) 180 degree angle.
(d) Parallel line.

4. Who asked Tartaglia for his solution to cubic equations?
(a) Pacioli.
(b) Cardano.
(c) Fior,
(d) Fontana.

5. Who wrote a treatise that supposed that cubic equations may be impossible to solve?
(a) Scipione del Ferro.
(b) Luca Pacioli.
(c) Niccolo Fontana.
(d) Gerolamo Cardano.

Short Answer Questions

1. What did Dunham consider as Archimedes's "masterpiece"?

2. Which of the following was NOT true about Archimedes, according to Dunham?

3. Numbers whose divisor add up to itself, was considered which type of number according to Euclid?

4. In what time period did mathematicians find a solution to cubic equations?

5. Which of the following best describes Archimedes as discussed by Dunham?

(see the answer key)

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