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This quiz consists of 5 multiple choice and 5 short answer questions through Euclid and the Infinitude of Primes.
Multiple Choice Questions
1. What did Plato use his inspiration from Euclid for?
(a) To classify geometric shapes by their complexity.
(b) To prove Euclid's number theory was incorrect.
(c) To construct his theory on the shape of the Universe.
(d) To create a new theorem of algebra.
2. Which of the following was one of Euclid's great theorems?
(a) Prime numbers are more comples than discrete numbers.
(b) There exists an finite number of prime numbers.
(c) There exists only infinite and whole numbers.
(d) There exists an infinite number of prime numbers.
3. 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 constructed squares on the sides of right triangles.
(c) Euclid used propositions about similar angles and parallel lines.
(d) Euclid stated that the diagonal hypotenuse of a right triangle is equal to the sums of the squares of the two legs.
4. Which of the following is an example of a postulate that must be accepted in Elements?
(a) It is possible to draw a circle that contains no lines.
(b) It is possible to connect any two points with a line and make a circle.
(c) It is possible to draw an arc with any three points.
(d) It is possible to draw a straight line between an infinite number of points.
5. Which is one of the common notions presented in Elements?
(a) "The inverse of a line makes a circle."
(b) "Things with are equal have an inverse that is equal."
(c) "Points with equal values can be connected with a line of equal value."
(d) "Things which are equal to the same thing are also equal to each other."
Short Answer Questions
1. What did Euclid do in his 48th proposition?
2. What is true about prime numbers?
3. What were the proofs in Elements based on?
4. What was most useful about finding the square of a shape, before Hippocrates?
5. What provided most of the content in the book Elements?
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This section contains 440 words (approx. 2 pages at 300 words per page) |
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