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This test consists of 5 multiple choice questions, 5 short answer questions, and 10 short essay questions.
Multiple Choice Questions
1. Which of the following was NOT defined by Euclid?
(a) Odd numbers.
(b) Even numbers.
(c) Whole numbers.
(d) Nominal numbers.
2. That properties of specific shapes were early Egyptians aware of?
(a) Pi and the diameter of a circle.
(b) Right triangles.
(c) Irregular solids.
(d) Parallelograms.
3. Who challenged Tartaglia to a contest to solve cubic equations?
(a) del Ferro.
(b) Pacioli.
(c) Cardano.
(d) Fior.
4. What was known about pi, during Archimedes' time?
(a) Nothing, the concept of pi was unknown.
(b) That is was the relationship between the diameter and circumference of a circle.
(c) That it was never the same number value for a given circle.
(d) That it could not be assigned a relationship between measurements in a circle.
5. What name did Euclid give for numbers that could be divided by numbers other than themselves and one?
(a) Discrete numbers.
(b) Perfect numbers.
(c) Composite numbers.
(d) Even numbers.
Short Answer Questions
1. Who was Eratosthanes?
2. Which of the following was one of Euclid's great theorems?
3. What did Gauss set out to prove?
4. Which is one of the common notions presented in Elements?
5. How many definitions were stated in Elements?
Short Essay Questions
1. Describe what work of Euclid's fascinated Plato and his theory on the shape of the Universe.
2. Describe Lindeman's work on the square of a circle, and state what he discovered.
3. Describe in two sentences Archimedes's method for determining circular area.
4. How did Heron find the area of a triangle, and what did Dunham state about Heron's work?
5. What did Dunham describe in the epilogue of the chapter?
6. Describe Euclid's postulates and notions in how they were important in constructing his proofs.
7. What was already known about circles before Archimedes?
8. Explain who was Gerolamo Cardano, and how did he become involved with the solution to the cubic.
9. Explain what Archimedes went on to study after the circle, and what was Dunham's opinion of this work.
10. Describe Euclid's definition of prime numbers and the relationship he stated as existing between prime and composite numbers.
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This section contains 872 words (approx. 3 pages at 300 words per page) |
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