describes the components of a mathematical system

1. AXIOMATIC
STRUCTURE OF
GEOMETRY

2. MATHEMATICAL
SYSTEM
UNDEFINED TERMS 1

3. MATHEMATICAL
SYSTEM
UNDEFINED TERMS 1
DEFINED TERMS 2

4. MATHEMATICAL
SYSTEM
UNDEFINED TERMS 1
DEFINED TERMS 2
AXIOMS/POSTULATES 3

5. MATHEMATICAL
SYSTEM
Which of the following is true
about axioms/postulates?
A. It is a statement that needs to be proven.
B. It is a statement that is assumed to be true
even without proof.
C. It is a statement that shows the meaning of a
certain term in mathematics.

6. MATHEMATICAL
SYSTEM
UNDEFINED TERMS 1
DEFINED TERMS 2
AXIOMS/POSTULATES 3
THEOREMS 4

7. MATHEMATICAL
SYSTEM
Which of the following is true
about theorems?
A. It is a statement that needs to be proven.
B. It is a statement that is assumed to be true
even without proof.
C. It is a statement that shows the meaning of a
certain term in mathematics.

8. Learning
Objectives

9. Subtasks:
1. define axiomatic system;
2. determine the importance of an
axiomatic system in geometry

10. What is AXIOMATIC SYSTEM?
Axiomatic system
refers to the
statements and rules
used to develop and
prove theorems.
00

11. What is AXIOMATIC SYSTEM?
 is a set of axioms
used to derive
theorems.
00

12. Our extended team
12
Takuma Hayashi Mirjam Nilsson Flora Berggren Rajesh Santoshi
President Chief Executive Officer Chief Operations Officer VP Marketing
Graham Barnes Rowan Murphy Elizabeth Moore Robin Kline
VP Product SEO Strategist Product Designer Content Developer

13. Thank
you
Mirjam Nilsson
mirjam@contoso.com
www.contoso.com