Winter 2004

MAT 301 Homework

1.  Section 4.2   #1,2
2.  Section 4.2   #3,4
3.  Section 4.2   #5,6
4.  Section 4.3   #15
5.  Section 4.3   #16
6.  Section 4.3   #24,25
7.  Section 4.5   #2
8.  Trisect a 60 degree angle using a straightedge with one mark and a compass
9.  Section 4.5   #4

10.Section 6.2  #1,2
11.Section 6.2  #8,9
12.Section 6.3  #1,3
13.Find the fallacy in the "construction" of the 5 by 13 rectangle on page 270
14.Produce and check the table on page 276
15.Section 7.3   #1ac,3a
16.Section 7.3   #4
17.Section 7.4   #1ab
18.Section 7.4   #2
19.Make a triangle and estimate the sum of its 3 angles.
20.For Proposition 29 on page 148, prove b = d.
21.For Proposition 16 on page 145, prove ÐABC <  ÐACD.
22.Through a point P not on a line construct a parallel line with straightedge and compass.
23.Prove that Euclid's first postulate is valid in the hyperbolic plane.
24.Find the angles of the hyperbolic triangle with vertices (0,1),(2,1), and (4,1).
25.Compute the hyperbolic lengths of these curves joining the points (0,1) and (1,2): y = x + 1, y = x2 + 1, y = x3 + 1