### Project 6: Parallels and Connections

Prepare to turn in work that follows the
guidelines.
I will post on ASULearn answers to select questions I receive via messaging
there or in office hours!
You may work alone or in a group of at most 3 people, and turn in one project
per group.
### Problem 1

*Roads to Geometry* Exercises 2.3 #1
### Problem 2

*Roads to Geometry* Exercises 2.7 #2 (all three parts)
### Problem 3

*Roads to Geometry* Exercises 4.2 #1
### Problem 4

*Geometric Viewpoint* Problems for Section 1.2
# 15 part a) [prove that this
statement proves Playfair's and that Playfair's proves this statement, ie both
directions, assuming only
Euclid's first 28 propositions as well as Theorem 1.2.1
in the book]
### Problem 5

Explore parallels
in a creative way -
produce an imaginative work of your own making
involving parallels on the sphere (no parallels),
the plane (1 parallel),
and hyperbolic geometry (infinitely many parallels)
For example, this might be a series of photographs or physical models,
a poem, a youtube video, a song,
written as a newspaper interview, a newsletter bulletin,
a powerpoint presentation, a study guide,
a classroom worksheet, ...
It must be something that you can turn in.
Be sure to acknowledge any references where it is due, including
pictures.