Euclid's Definition, Axioms And Postulates
Chapter Name : Introduction To Euclid's Geometry |
Sub Topic Code : 104_09_05_02_01 |
Topic Name : Euclid's Definition, Axioms And Postulates |
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Sub Topic Name : Euclid's Definition, Axioms And Postulates |
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Introduction
Euclid summarized notions, statements and definitions in his book Elements. He conceptualized properties into axioms and postulates. Axioms are properties used throughout mathematics; postulates are assumptions specific to geometry.
Pre-Requisites:
Basic Geometric concepts
Activity:
Observe how the tangram puzzle set is greater in area than any piece individually - Axiom 5.
Real Life Question:
Do the definitions and assumptions of concepts help in standardizing geometrical methods?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Geometry | Measuring size, shape and position. |
| Axiom | Universally true statement used throughout mathematics. |
| Postulate | Assumptions specific to geometry. |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Tangram Puzzle | The pieces of the puzzle can be related with concepts and definitions by Euclid. |
Real life uses :
Helps to keep geometric theory uniform.
Practical examples around us
| Examples | Explainations |
|---|---|
| Different shapes meeting criteria of respective postulates. | Any circular object abides by postulate 3. Edges of squares and rectangles follow postulate 4. |
What you learn in Theory:
Euclid’s Definitions, Axioms and Postulates.
What you learn in Practice:
How to relate Euclid’s Definitions, Axioms and Postulates with shapes and objects in real life.