Chapter 5 of 12
Concept Maps
Introduction to Euclid's Geometry — Concept Maps
Gujarat Board · Class 9 · Mathematics
3 concept maps of Introduction to Euclid's Geometry for Gujarat Board Class 9 Mathematics, each also written out as a text outline.
45 questions22 flashcards5 concepts
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3 Concept Maps
Overview of Euclid's Geometry — Key Concepts
The map in words
- Euclid Geometry
- History
- Egypt
- Nile flooding
- Pyramids
- India
- Indus Valley 3000 BCE
- Sulbasutras 800 BCE
- Brick ratio 4 2 1
- Greece
- Thales first proof
- Pythagoras 572 BCE
- Euclid 300 BCE
- Elements 13 books
- 465 propositions
- Egypt
- Foundation
- Undefined Terms
- Point 0 dimensions
- Line 1 dimension
- Plane 2 dimensions
- Definitions
- 23 definitions Book 1
- Lead to endless chain
- Undefined Terms
- Assumptions
- Axioms
- Universal truths
- Apply all of math
- 7 common notions
- Postulates
- Specific to geometry
- 5 postulates
- Axioms
- Results
- Theorems
- Must be proved
- 465 propositions
- Use deductive reasoning
- Theorems
- History
Complete Mind Map: Introduction to Euclid's Geometry
The map in words
- Euclid's Geometry
- History
- Origin
- Greek words geo and metrein
- Measuring land in Egypt
- Ancient India
- Indus Valley 3000 BCE
- Sulbasutras 800-500 BCE
- Greeks
- Thales first proof
- Pythagoras 572 BCE
- Euclid 300 BCE
- Elements Book
- 13 books
- 465 propositions
- Origin
- Undefined Terms
- Point
- No part
- Zero dimensions
- Line
- Breadthless length
- One dimension
- Plane
- Length and breadth
- Two dimensions
- Point
- Axioms 7 Common Notions
- Equal to same thing
- Adding equals
- Subtracting equals
- Coinciding things equal
- Whole greater than part
- Doubles of same
- Halves of same
- Postulates 5
- P1 Line through two points
- P2 Extend line segment
- P3 Draw any circle
- P4 All right angles equal
- P5 Parallel Postulate
- Theorems
- Proved by deduction
- Theorem 5.1
- Two lines one common point
- Proof by contradiction
- Equilateral Triangle
- Using Postulate 3
- Using Axiom 1
- History
Timeline showing the chronological development of geometry across different civilizations
The map in words
- 3000 BCE
- Indus Valley Civilization
- 800-500 BCE
- Sulbasutras in India
- 600-400 BCE
- Greek Mathematicians Thales and Pythagoras
- 300 BCE
- Euclid writes Elements
- Present Day
- Modern Geometry
Explore these maps interactively
Explore DiagramsFrequently Asked Questions
What are the important topics in Introduction to Euclid's Geometry for Gujarat Board Class 9 Mathematics?
Key topics in Introduction to Euclid's Geometry include Origin and History of Geometry, Euclid's Definitions — Undefined Terms, Euclid's Axioms — Common Notions, Euclid's Five Postulates. Study these first, then practise questions on each for Class 9 exams.
What do the concept maps for Introduction to Euclid's Geometry show?
The 3 maps show how the ideas in Introduction to Euclid's Geometry connect: Overview of Euclid's Geometry — Key Concepts; Complete Mind Map: Introduction to Euclid's Geometry. Each map is also written out as an outline on this page.
How should I revise Introduction to Euclid's Geometry for Class 9 exams?
Learn the core ideas first, then work through the 45 practice questions on Introduction to Euclid's Geometry. Revise definitions regularly and use flashcards for quick recall before the exam.
Sources & Official References
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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