Chapter 5 of 12
Concept Maps
Introduction to Euclid's Geometry — Concept Maps
Madhya Pradesh Board · Class 9 · Mathematics
4 concept maps of Introduction to Euclid's Geometry for Madhya Pradesh Board Class 9 Mathematics, each also written out as a text outline.
32 questions24 flashcards3 formulas & key relations5 concepts
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4 Concept Maps
Complete Chapter Concept Map – Introduction to Euclid's Geometry
The map in words
- Euclid Geometry
- Historical Background
- Egypt
- Land measurement
- Pyramids and canals
- Indus Valley 3000 BCE
- Town planning
- Brick ratio
- Sulbasutras 800-500 BCE
- Altar constructions
- Greece
- Deductive reasoning
- Thales first proof
- Pythagoras 572 BCE
- Euclid 300 BCE
- Elements 13 books
- 465 propositions
- Egypt
- Undefined Terms
- Point
- No part
- Zero dimensions
- Line
- Breadthless length
- One dimension
- Plane
- Two dimensions
- Point
- Definitions
- 23 definitions in Book 1
- Based on intuition
- Some terms still undefined
- Axioms
- Universal truths
- Not proved
- Common notions
- Equal to same thing
- Adding equals
- Subtracting equals
- Coinciding things
- Whole greater than part
- Postulates
- Geometry specific
- Not proved
- Postulate 1 Line through two points
- Postulate 2 Extend a line
- Postulate 3 Draw a circle
- Postulate 4 Right angles equal
- Postulate 5 Parallel lines
- Theorems
- Proved statements
- Deductive reasoning
- Theorem 5.1
- Two lines one common point
- Equilateral triangle proof
- Dimensions
- Solid 3D
- Surface 2D
- Line 1D
- Point 0D
- Historical Background
Euclid's Geometry — Complete Concept Map
The map in words
- Euclid Geometry
- Historical Roots
- Egypt practical use
- India Sulbasutras
- Greece deductive proofs
- Euclid 300 BCE Elements
- Undefined Terms
- Point zero dimensions
- Line one dimension
- Plane two dimensions
- Defined Terms
- 23 definitions Book 1
- Solid 3D
- Surface 2D
- Terminated line segment
- Axioms 7 Common Notions
- Transitivity of equality
- Add equals to equals
- Subtract equals from equals
- Coincidence means equality
- Whole greater than part
- Doubles of equals are equal
- Halves of equals are equal
- Postulates 5
- P1 Join any two points
- P2 Extend line segment
- P3 Draw any circle
- P4 All right angles equal
- P5 Parallel postulate
- Results
- Theorems proved results
- Theorem 5.1 lines meet once
- Axiom 5.1 unique line
- 465 propositions total
- Historical Roots
Euclid's Geometry — Complete Concept Map
The map in words
- Euclid Geometry
- History
- Egypt 3000 BCE
- Indus Valley 3000 BCE
- Sulbasutras 800 BCE
- Thales 640 BCE
- Pythagoras 572 BCE
- Euclid 300 BCE
- Euclid Elements
- 13 Books
- 465 Propositions
- Alexandria Egypt
- Undefined Terms
- Point zero dimensions
- Line one dimension
- Plane two dimensions
- Axioms Seven Total
- Equal to same thing
- Add equals
- Subtract equals
- Coinciding equals
- Whole greater than part
- Doubles equal
- Halves equal
- Postulates Five Total
- P1 Line through two points
- P2 Extend line segment
- P3 Circle any centre radius
- P4 All right angles equal
- P5 Parallel postulate
- Theorems
- Proved using axioms
- Proved using postulates
- Proved using prior theorems
- Theorem 5.1 Lines one point
- History
Euclid's Geometry
The map in words
- Euclid's Geometry
- Historical Background
- Undefined Terms
- Euclid's Definitions
- Axioms (Common Notions)
- Euclid's Five Postulates
- Theorems and Propositions
- Key Geometric Concepts
Explore these maps interactively
Explore DiagramsFrequently Asked Questions
What are the important topics in Introduction to Euclid's Geometry for Madhya Pradesh Board Class 9 Mathematics?
Key topics in Introduction to Euclid's Geometry include Historical Background and Origin of Geometry, Development of Systematic Geometry, Euclid's Definitions, Euclid's Axioms (Common Notions). 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 4 maps show how the ideas in Introduction to Euclid's Geometry connect: Complete Chapter Concept Map – Introduction to Euclid's Geometry; Euclid's Geometry — Complete Concept Map. 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 32 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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Formula Sheet
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Chapter Summary
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Study Plan
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Flashcards
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Syllabus
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