SlideShare a Scribd company logo
1 of 10
EUCLIDS FIVE POSTULATES
INTRODUCTION
Postulates are the assumptions that were
specific to the geometry.
THE FIVE POSTULATES
FIRST POSTULATE
SECOND POSTULATE
THIRD POSTULATE
FOURTH POSTULATE
FIFTH POSTULATE
FIRST POSTULATE
A straight line may be drawn from any one point .
This postulate tells that at least one straight line passes
through two distinct points , but it does not say that
there cannot be more than one such line . But Euclid
generally assumed without mentioning that there is a
unique line joining two points .
SECOND POSTULATE
A terminated line can be produced indefinitely.
This postulate shows that what we call a line segment
today was called a terminated line by Euclid .so the
postulate says that a line segment can be extended on
either side to make a line.
THIRD POSTULATE
A circle can be drawn with any centre and any
radius.
 The meaning is very simple , this postulate shows that
using an instrument a circle can be drawn at any plane
because the radius remains the same.
FOURTH POSTULATE
All right angles are equal.
This postulate shows that every right angle is equal and
of 90° and right angles will remain same . So they will be
equal .
FIFTH POSTULATE
If a straight line falling on two straight lines makes
the interior angles on the same side of it taken
together less the two right angles , then the two
straight lines , if produced indefinitely meet on
which the sum of angles is less than two right angles
MADE BY : ARYAVARTA GIRI
CLASS : IX “C”
ROLL NO. : 13
MADE BY : ARYAVARTA GIRI
CLASS : IX “C”
ROLL NO. : 13

More Related Content

What's hot

History Of Non Euclidean Geometry
History Of Non Euclidean GeometryHistory Of Non Euclidean Geometry
History Of Non Euclidean Geometry
dr.f
 
11 2 arcs and central angles lesson
11 2 arcs and central angles lesson11 2 arcs and central angles lesson
11 2 arcs and central angles lesson
gwilson8786
 

What's hot (20)

Subsets of a line & Different Kinds of Angles
Subsets of a line & Different Kinds of AnglesSubsets of a line & Different Kinds of Angles
Subsets of a line & Different Kinds of Angles
 
Powerpoint on K-12 Mathematics Grade 7 Q1 (Fundamental Operations of Integer...
Powerpoint  on K-12 Mathematics Grade 7 Q1 (Fundamental Operations of Integer...Powerpoint  on K-12 Mathematics Grade 7 Q1 (Fundamental Operations of Integer...
Powerpoint on K-12 Mathematics Grade 7 Q1 (Fundamental Operations of Integer...
 
Euclidean geometry
Euclidean geometryEuclidean geometry
Euclidean geometry
 
Polygons
PolygonsPolygons
Polygons
 
If and then statements
If and then statementsIf and then statements
If and then statements
 
History Of Non Euclidean Geometry
History Of Non Euclidean GeometryHistory Of Non Euclidean Geometry
History Of Non Euclidean Geometry
 
Euclids geometry
Euclids geometryEuclids geometry
Euclids geometry
 
1.2 Irrational Numbers ppt
1.2 Irrational Numbers ppt1.2 Irrational Numbers ppt
1.2 Irrational Numbers ppt
 
Points, Lines and Planes
Points, Lines and PlanesPoints, Lines and Planes
Points, Lines and Planes
 
Math Rubrics
Math RubricsMath Rubrics
Math Rubrics
 
distance formula
distance formuladistance formula
distance formula
 
Subsets of A Line
Subsets of A LineSubsets of A Line
Subsets of A Line
 
GEOMETRY: POINTS, LINES. PLANE
GEOMETRY: POINTS, LINES. PLANEGEOMETRY: POINTS, LINES. PLANE
GEOMETRY: POINTS, LINES. PLANE
 
Integers: Addition and Subtraction
Integers: Addition and SubtractionIntegers: Addition and Subtraction
Integers: Addition and Subtraction
 
Pairs of Angles
Pairs of AnglesPairs of Angles
Pairs of Angles
 
Binomial expansion
Binomial expansionBinomial expansion
Binomial expansion
 
11 2 arcs and central angles lesson
11 2 arcs and central angles lesson11 2 arcs and central angles lesson
11 2 arcs and central angles lesson
 
Translating Expressions
Translating ExpressionsTranslating Expressions
Translating Expressions
 
ASA, SAS,AAS,SSS
ASA, SAS,AAS,SSSASA, SAS,AAS,SSS
ASA, SAS,AAS,SSS
 
Introduction to Postulates and Theorems
Introduction to Postulates and TheoremsIntroduction to Postulates and Theorems
Introduction to Postulates and Theorems
 

Viewers also liked (6)

Axioms and postulates (Euclidean geometry)
Axioms and postulates (Euclidean geometry)Axioms and postulates (Euclidean geometry)
Axioms and postulates (Euclidean geometry)
 
Mathematics Euclid's Geometry - My School PPT Project
Mathematics Euclid's Geometry - My School PPT ProjectMathematics Euclid's Geometry - My School PPT Project
Mathematics Euclid's Geometry - My School PPT Project
 
Axioms
AxiomsAxioms
Axioms
 
What is an axiom?
What is an axiom?What is an axiom?
What is an axiom?
 
Introduction to euclid’s geometry
Introduction to euclid’s geometryIntroduction to euclid’s geometry
Introduction to euclid’s geometry
 
Mathematical system
Mathematical systemMathematical system
Mathematical system
 

Similar to Euclids five postulates

Introductiontoeuclidsgeometryby 131215081330-phpapp02
Introductiontoeuclidsgeometryby 131215081330-phpapp02Introductiontoeuclidsgeometryby 131215081330-phpapp02
Introductiontoeuclidsgeometryby 131215081330-phpapp02
Shubham Ghadigaonkar
 
Amstext 21-prev
Amstext 21-prevAmstext 21-prev
Amstext 21-prev
Abay Sevi
 

Similar to Euclids five postulates (20)

Introductiontoeuclidsgeometryby 131215081330-phpapp02
Introductiontoeuclidsgeometryby 131215081330-phpapp02Introductiontoeuclidsgeometryby 131215081330-phpapp02
Introductiontoeuclidsgeometryby 131215081330-phpapp02
 
Euclids Geometry
Euclids GeometryEuclids Geometry
Euclids Geometry
 
euclid's life and achievements
euclid's life and achievementseuclid's life and achievements
euclid's life and achievements
 
Introduction to euclid’s geometry
Introduction to euclid’s geometryIntroduction to euclid’s geometry
Introduction to euclid’s geometry
 
ANECDOTAL RECORDS.pptx
ANECDOTAL RECORDS.pptxANECDOTAL RECORDS.pptx
ANECDOTAL RECORDS.pptx
 
Euclid's geometry
Euclid's geometryEuclid's geometry
Euclid's geometry
 
Introduction to euclid`s geometry by Al- Muktadir hussain
Introduction to euclid`s geometry by Al- Muktadir hussainIntroduction to euclid`s geometry by Al- Muktadir hussain
Introduction to euclid`s geometry by Al- Muktadir hussain
 
Euclid and his achievements.
Euclid and his achievements.Euclid and his achievements.
Euclid and his achievements.
 
Euclid’s geometry
Euclid’s geometryEuclid’s geometry
Euclid’s geometry
 
CLASS 9 MATHS GEOMETRY INTRODUCTION TO EUCLID'S GEOMETRY.pptx
CLASS 9 MATHS GEOMETRY INTRODUCTION  TO EUCLID'S GEOMETRY.pptxCLASS 9 MATHS GEOMETRY INTRODUCTION  TO EUCLID'S GEOMETRY.pptx
CLASS 9 MATHS GEOMETRY INTRODUCTION TO EUCLID'S GEOMETRY.pptx
 
7 euclidean&non euclidean geometry
7 euclidean&non euclidean geometry7 euclidean&non euclidean geometry
7 euclidean&non euclidean geometry
 
introduction to euclid geometry
introduction to euclid geometryintroduction to euclid geometry
introduction to euclid geometry
 
Geometry
GeometryGeometry
Geometry
 
Amstext 21-prev
Amstext 21-prevAmstext 21-prev
Amstext 21-prev
 
Final-term Coverage.pptx. ..............
Final-term Coverage.pptx. ..............Final-term Coverage.pptx. ..............
Final-term Coverage.pptx. ..............
 
Euclid geometry
Euclid geometryEuclid geometry
Euclid geometry
 
Slide task 6
Slide task 6Slide task 6
Slide task 6
 
Koningsberg bridge problem
Koningsberg  bridge  problemKoningsberg  bridge  problem
Koningsberg bridge problem
 
EUCLID'S GEOMETRY
EUCLID'S GEOMETRYEUCLID'S GEOMETRY
EUCLID'S GEOMETRY
 
CH-5 EUCLID’S GEOMETRY introduction.pdf
CH-5 EUCLID’S GEOMETRY introduction.pdfCH-5 EUCLID’S GEOMETRY introduction.pdf
CH-5 EUCLID’S GEOMETRY introduction.pdf
 

More from Aryavarta Giri (7)

Physics Investigatory Project Class XII.. Water Level Controller.!!
Physics Investigatory Project Class XII.. Water Level Controller.!!Physics Investigatory Project Class XII.. Water Level Controller.!!
Physics Investigatory Project Class XII.. Water Level Controller.!!
 
Gravitation (Class XI Brief)
Gravitation (Class XI Brief)Gravitation (Class XI Brief)
Gravitation (Class XI Brief)
 
Medicinal chemistry
Medicinal chemistry Medicinal chemistry
Medicinal chemistry
 
Renewable and non renewable resources for class 10 {PHYSICS}
Renewable and non renewable resources  for class 10 {PHYSICS}Renewable and non renewable resources  for class 10 {PHYSICS}
Renewable and non renewable resources for class 10 {PHYSICS}
 
Resources and development
Resources and developmentResources and development
Resources and development
 
Softwares
SoftwaresSoftwares
Softwares
 
Geometry
GeometryGeometry
Geometry
 

Recently uploaded

Industrial Training Report- AKTU Industrial Training Report
Industrial Training Report- AKTU Industrial Training ReportIndustrial Training Report- AKTU Industrial Training Report
Industrial Training Report- AKTU Industrial Training Report
Avinash Rai
 
Neurulation and the formation of the neural tube
Neurulation and the formation of the neural tubeNeurulation and the formation of the neural tube
Neurulation and the formation of the neural tube
SaadHumayun7
 
ppt your views.ppt your views of your college in your eyes
ppt your views.ppt your views of your college in your eyesppt your views.ppt your views of your college in your eyes
ppt your views.ppt your views of your college in your eyes
ashishpaul799
 

Recently uploaded (20)

Features of Video Calls in the Discuss Module in Odoo 17
Features of Video Calls in the Discuss Module in Odoo 17Features of Video Calls in the Discuss Module in Odoo 17
Features of Video Calls in the Discuss Module in Odoo 17
 
Benefits and Challenges of Using Open Educational Resources
Benefits and Challenges of Using Open Educational ResourcesBenefits and Challenges of Using Open Educational Resources
Benefits and Challenges of Using Open Educational Resources
 
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
 
Industrial Training Report- AKTU Industrial Training Report
Industrial Training Report- AKTU Industrial Training ReportIndustrial Training Report- AKTU Industrial Training Report
Industrial Training Report- AKTU Industrial Training Report
 
Operations Management - Book1.p - Dr. Abdulfatah A. Salem
Operations Management - Book1.p  - Dr. Abdulfatah A. SalemOperations Management - Book1.p  - Dr. Abdulfatah A. Salem
Operations Management - Book1.p - Dr. Abdulfatah A. Salem
 
How to Manage Notification Preferences in the Odoo 17
How to Manage Notification Preferences in the Odoo 17How to Manage Notification Preferences in the Odoo 17
How to Manage Notification Preferences in the Odoo 17
 
Neurulation and the formation of the neural tube
Neurulation and the formation of the neural tubeNeurulation and the formation of the neural tube
Neurulation and the formation of the neural tube
 
....................Muslim-Law notes.pdf
....................Muslim-Law notes.pdf....................Muslim-Law notes.pdf
....................Muslim-Law notes.pdf
 
Salient features of Environment protection Act 1986.pptx
Salient features of Environment protection Act 1986.pptxSalient features of Environment protection Act 1986.pptx
Salient features of Environment protection Act 1986.pptx
 
How to Break the cycle of negative Thoughts
How to Break the cycle of negative ThoughtsHow to Break the cycle of negative Thoughts
How to Break the cycle of negative Thoughts
 
Championnat de France de Tennis de table/
Championnat de France de Tennis de table/Championnat de France de Tennis de table/
Championnat de France de Tennis de table/
 
ppt your views.ppt your views of your college in your eyes
ppt your views.ppt your views of your college in your eyesppt your views.ppt your views of your college in your eyes
ppt your views.ppt your views of your college in your eyes
 
“O BEIJO” EM ARTE .
“O BEIJO” EM ARTE                       .“O BEIJO” EM ARTE                       .
“O BEIJO” EM ARTE .
 
Open Educational Resources Primer PowerPoint
Open Educational Resources Primer PowerPointOpen Educational Resources Primer PowerPoint
Open Educational Resources Primer PowerPoint
 
The Benefits and Challenges of Open Educational Resources
The Benefits and Challenges of Open Educational ResourcesThe Benefits and Challenges of Open Educational Resources
The Benefits and Challenges of Open Educational Resources
 
Morse OER Some Benefits and Challenges.pptx
Morse OER Some Benefits and Challenges.pptxMorse OER Some Benefits and Challenges.pptx
Morse OER Some Benefits and Challenges.pptx
 
Basic_QTL_Marker-assisted_Selection_Sourabh.ppt
Basic_QTL_Marker-assisted_Selection_Sourabh.pptBasic_QTL_Marker-assisted_Selection_Sourabh.ppt
Basic_QTL_Marker-assisted_Selection_Sourabh.ppt
 
Word Stress rules esl .pptx
Word Stress rules esl               .pptxWord Stress rules esl               .pptx
Word Stress rules esl .pptx
 
Matatag-Curriculum and the 21st Century Skills Presentation.pptx
Matatag-Curriculum and the 21st Century Skills Presentation.pptxMatatag-Curriculum and the 21st Century Skills Presentation.pptx
Matatag-Curriculum and the 21st Century Skills Presentation.pptx
 
The Last Leaf, a short story by O. Henry
The Last Leaf, a short story by O. HenryThe Last Leaf, a short story by O. Henry
The Last Leaf, a short story by O. Henry
 

Euclids five postulates

  • 2. INTRODUCTION Postulates are the assumptions that were specific to the geometry.
  • 3. THE FIVE POSTULATES FIRST POSTULATE SECOND POSTULATE THIRD POSTULATE FOURTH POSTULATE FIFTH POSTULATE
  • 4. FIRST POSTULATE A straight line may be drawn from any one point . This postulate tells that at least one straight line passes through two distinct points , but it does not say that there cannot be more than one such line . But Euclid generally assumed without mentioning that there is a unique line joining two points .
  • 5. SECOND POSTULATE A terminated line can be produced indefinitely. This postulate shows that what we call a line segment today was called a terminated line by Euclid .so the postulate says that a line segment can be extended on either side to make a line.
  • 6. THIRD POSTULATE A circle can be drawn with any centre and any radius.  The meaning is very simple , this postulate shows that using an instrument a circle can be drawn at any plane because the radius remains the same.
  • 7. FOURTH POSTULATE All right angles are equal. This postulate shows that every right angle is equal and of 90° and right angles will remain same . So they will be equal .
  • 8. FIFTH POSTULATE If a straight line falling on two straight lines makes the interior angles on the same side of it taken together less the two right angles , then the two straight lines , if produced indefinitely meet on which the sum of angles is less than two right angles
  • 9. MADE BY : ARYAVARTA GIRI CLASS : IX “C” ROLL NO. : 13
  • 10. MADE BY : ARYAVARTA GIRI CLASS : IX “C” ROLL NO. : 13