Project 6: Parallels and Connections
Prepare to turn in work that follows the
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
Roads to Geometry Exercises 2.3 #1
Roads to Geometry Exercises 2.7 #2 (all three parts)
Roads to Geometry Exercises 4.2 #1
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]
(Individual component) Research one item related to parallel lines
and focuses in your major(s) or intended careers and report back on it.
Include the source.
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 video, a song,
written as a newspaper interview, a newsletter bulletin,
a presentation, a study guide,
a classroom worksheet, ...
It must be a product you create and that you can turn in.
Be sure to acknowledge any references and give proper reference where it is due, including any