Chapter 3
Axioms for Plane Geometry
3.2 Distance and Ruler Postulate
The next axiom addresses what is to be assumed regarding the undefined term,
distance.
Chapter 3
Axioms for Plane Geometry
3.3 Plane Separation
In this section we will examine how and line divides a plane into two half-
planes, which will le
Chapter 3
Axioms for Plane Geometry
3.7 The Parallel Postulates and Models
The geometry that can be done using only the six postulates stated in this chapter
Chapter 3
Axioms for Plane Geometry
3.5 The Crossbar Theorem and the Linear Pair Theorem
In this section we will state two fundamental theorems (without pr
Chapter 2
Axiomatic Systems and Incidence Geometry
2.5 Theorems, Proof, and Logic
At this point we examine the third part of an axiomatic systemthe
theorem
Chapter 3
Axioms for Plane Geometry
3.6 The Side-Angle-Side Postulate
In this section we will examine the relationship between the length of
segments and a
Chapter 2
Axiomatic Systems and Incidence Geometry
2.2 An Example: Incidence Geometry
Next we give a more mathematical and rigorous example of what an
axio
Chapter 2
Axiomatic Systems and Incidence Geometry
2.3 The Parallel Postulates in Incidence Geometry
The purpose of this section is to gain a better understand
Chapter 1
Euclids Elements
1.0 Geometry Before Euclid
The word Geometry comes from the Greek words geo which means earth and
metron which means measurementtha
Chapter 3
Axioms for Plane Geometry
Introduction
In this chapter you will be introduced to six axioms, which will lay the
foundation to all geometries studi
Chapter 2
Axiomatic Systems and Incidence Geometry
2.6 Some Theorems from Incidence Geometry
We now have built up enough information to try and prove some
Chapter 2
Axiomatic Systems and Incidence Geometry
2.4 Axiomatic Systems and the Real World
A nave view of geometry is that it is a branch of mathematics
Chapter 2
Axiomatic Systems and Incidence Geometry
In this chapter we will examine the fundamental components of an axiomatic
systemits parts and the relationship b