Chapter 4 Neutral Geometry
We have now accepted six axioms. We will explore what we can prove WITHOUT making a
choice of Parallel Axiom. In Chapter 5 well choose the Euclidean parallel postulate and then in
Chapter 6 well choose the Hyperbolic parallel po
Writing Assignments Math 3379
Physical description of Papers 1, 2, and 3:
Each will be a 700 word (+/ 25 words) descriptive essay that is typed (12 point) and
double spaced with margins not larger than 1 inch per side. The Proof of Attendance
form from Th
1
MATH 3379, Spring 2012:
Instructions for Writing Center Meetings
To help you prepare for your writing in this course, your instructor and Writing Center specialists
have created a program designed to help you consider strategies for composing and revisi
Version 4 or earlier:
To find this space in Sketchpad: open the Sketchpad Program files, select
Samples/Sketches/Investigations/PoincareDisk
Version 5:
The Poincar Disk Model is available at http:/www.dynamicgeometry.com.
Here is the link to download the
Theorems Venema
Chapter 3
Theorem 3.1.7
If l and m are two distinct, non parallel lines, then there exists
exactly one point P such that P lies on both l and m. [note that this
is not true in Spherical geometry]
p. 37
Theorem 3.2.7
If P and Q are any two
Math 3379
Spring 2012, Section13652
1 2:30 TuTh, 347 PGH
Instructor:
Leigh Hollyer
Conference Hours:
Fridays in CASA Tutoring Center
9ish am 11 am or
by appointment, use email to arrange it.
Conference hours begin Jan. 26 and end April 27.
How to reach m
Chapter 3 Homework
3.2
Problem 1,
Problem 3,
Problem 6,
Problem 8,
Problem 11,
Problem 21,
Problem 23
06 points
06 points
06 points
10 points
11 points
06 points
10 points
3.3
Problem 3,
Problem 4,
Problem 5
10 points
15 points
10 points
3.4
Problem 2
08
Math 3379 Homework 1
Chapter 1
1.6
Problem 02
Problem 04
05 points
06 points
Chapter 2
2.4
Problem 10
Problem 12
08 points
12 points
2.5
Problem 04
Problem 05
Problem 08
Problem 10
08 points
08 points
06 points
08 points
2.6
Problem 01
Problem 02
Problem
Glossary Venema
uuu
r
uuu
r
Angle: An angle is the union of two nonopposite rays AB and AC sharing the same
endpoint. The angle is known as BAC or CAB . The point A is
uuu
r
uuu
r
called the vertex and the rays AB and AC are called the sides of
the angle.
Math 3379 Chapter 3, Venema
Neutral Geometry in the Plane
Undefined terms:
point, line, distance, half-plane, angle measure, area
Axioms:
Axiom 1
The Existence Postulate
The collection of all points forms a non-empty set. There is more than
one point in t
Math 3379
Chapter 1 Prologue: Euclids Elements
Time Line
4000 years ago
practical applications
Mesopotamia, Egypt, India, China
2500 years ago
Greek influence brings abstraction
600 BC
Thales of Miletus brings logic and logical argument
300 BC
Euclid writ
A statement about your presentation:
Topic:
Handouts:
Length:
Appointment:
Any problem in the book, assigned or not. Medium hard or harder.
required: between 1 and 2 pages typed
3 5 minutes including questions from the audience
email me to let me know wha