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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. In general, what did Euclid's number theory describe?
(a) The nature of measuring geometry.
(b) The relationship of decimals to integers.
(c) The relationship of fractions to decimals.
(d) The nature of whole numbers.

2. What did Euclid do in his 48th proposition?
(a) Euclid proved the converse of the Pythagorean Theorem.
(b) Euclid demonstrated the faults of the Pythagorean Theorem.
(c) Euclid demonstrated how to use the Pythagorean Theorem.
(d) Euclid proved the Pythagorean Theorem.

3. Where was Neil's Abel from?
(a) Ireland.
(b) Great Britian,
(c) Finland.
(d) Norway.

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

5. Which name does NOT belong?
(a) John Napier.
(b) Renee Descartes.
(c) Blaise Pascal.
(d) Francois Viete

Short Answer Questions

1. As described by Archimedes, what is always true about he diameter of the circle?

2. What name did Euclid give for numbers that could be divided by numbers other than themselves and one?

3. Which mathematician was first to take the challenge to solve cubic equations?

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

5. Which of the following was NOT one of the basic definitions in Elements?

(see the answer key)

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