Mid-Book Test - Hard
|Name: _____________________________||Period: ___________________________|
This quiz consists of 5 short answer questions, 10 short essay questions, and 1 (of 3) essay topics.
Short Answer Questions
1. What was the bases of Hippocrates's proof ?
2. Which of the following best describes Cardano's character?
3. After working on pi, what did Archimedes continue with in his study of mathematics?
4. What instruments did the Greeks use to square a shape?
5. Which is one of the common notions presented in Elements?
Short Essay Questions
1. Describe what mathematical and artistic movements are focused on in the second half of the 19th century.
2. Describe the connection between Fermat and Euler's work.
3. Where did the center of mathematical thinking shift to in the !7th Century, and who are the major scholars of this time period?
4. Why did Euclid's postulate on parallel lines trouble mathematicians for centuries?
5. How did Heron find the area of a triangle, and what did Dunham state about Heron's work?
6. Describe the great theorem explained by Dunham in this chapter.
7. Describe who was Archimedes and how Dunham described his character.
8. Who was Heron, and what is known about him today?
9. Who was Luca Pacioli, and what controversy was sparked over his writings?
10. Describe what Gauss discovered according to Dunham.
Write a three part essay to describe third century Alexandra.
Part 1) Describe the geographic location of Alexandria. Why did its location affect its scholars?
Part 2) Name and describe the work of a few scholars in third century Alexandria.
Part 3) Who was Heron? How did his achievements improve mathematics?
Summarize the parts of Euclid's Elements. Use the following questions to guide your writing. What were the basic components to Elements? What were the most important theorems and proofs in Elements? How did Elements change the future of mathematics. Name a few mathematicians after Euclid who used Elements in their own work.
Write an essay to explain what is meant by "infinitude of primes." Use the following questions to guide your writing. What was Euclid's definition of a prime number? How were prime and composite numbers related according to Euclid?
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