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Assignment 1
Read Sections 1-1 through 1-5, and do the following exercises:
- Section 1-3: 2, 3, 4, 5, 6
- Section 1-4: 1, 2, 3, 4, 5
- Section 1-5: 1, 3, 4, 5, 6
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Assignment 2
Read Sections 1-6 through 1-8, and do the following exercises:
- Section 1-6: 1, 2, 3, 4
- Section 1-7: 1, 2
- Section 1-8: 1 (I plan to work Part (a) in class.)
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Assignment 3
Read Sections 1-10 through 1-11, and do the following exercises:
- Section 1-10: 1, 2, 3(a), 3(b)
- Section 1-11: 1, 2, 4
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Assignment 4
Read Sections 2-1 through 2-3, and do the following exercises:
- Section 2-2: 1, 2, 3, 4, 5
- Section 2-3: 2, 3
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Assignment 5
Read Sections 2-4 through 2-5, and do the following exercises:
- Section 2-4: 1,2
- Section 2-5: 1,3,4,5
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Assignment 6
Read Sections 2-7 through 2-9, and do the following exercises:
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Assignment 7
Read Sections 3-1 through 3-3, and do the following exercises:
- Section 3-2: 1,5
- Section 3-3: 1,2
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Assignment 8
Read Sections 3-4 through 3-6, and do the following exercises:
- Section 3-5: 3,4,6,7
- Section 3-6: 1,2,5,8
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Assignment 9
Read Sections 4-1 through 4-2, and do the following exercises:
- Learn
to perform the following GEOMETRIC
CONSTRUCTIONS .
- Let
l be a line and P a point NOT on l. Construct a line that contains P and that is perpendicular to l.
- Let
l be a line and P a point NOT on l. Construct a line that contains P and that is parallel to l.
- Learn to perform the quadrature of a rectangle BCDE. Include a proof of why it works. SOLUTION
- If rectangle BCDE in the above solution has side lengths BE=CD=3 and BC = ED = 2, calculate the values of a, b, and c. SOLUTION
- Given lengths a, b, c, construct a square with area a^2 + b^2 + c^2. SOLUTION
- Given a segment of length a and a line segment of length 1, construct a segment of length the square root of a. SOLUTION
- Given segments of length a, b, and 1, construct a segment of length ab. SOLUTION
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Assignment 10
Read Sections 4-1, 4-2 and do the following exercises:
- Section 4-2: 1, 2(a) (b) (c) (d) (e) (I LIKE THESE)
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Assignment 11
Read Sections 8-4, and 8-6 and do the following exercises:
- Section 8-4: 1, 2, 3 (a) (b)
- Section 8-6: 1, 2, 3, 4, 5, 6, 7, 8
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Assignment 12
Read Sections 8-7, and 8-8 and do the following exercises:
- Section 8-7: 1, 2, 3, 4
- Section 8-8: 1, 2, 3, 4, 5