{"id":9687,"date":"2018-02-13T14:42:47","date_gmt":"2018-02-13T09:12:47","guid":{"rendered":"http:\/\/mycbseguide.com\/blog\/?p=9687"},"modified":"2018-03-19T14:21:40","modified_gmt":"2018-03-19T08:51:40","slug":"introduction-euclids-geometry-class-9-notes-mathematics","status":"publish","type":"post","link":"https:\/\/mycbseguide.com\/blog\/introduction-euclids-geometry-class-9-notes-mathematics\/","title":{"rendered":"Introduction to Euclids Geometry class 9 Notes Mathematics"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_76 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-toggle-hide-by-default' ><ul class='ez-toc-list-level-2' ><li class='ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/mycbseguide.com\/blog\/introduction-euclids-geometry-class-9-notes-mathematics\/#CBSE_Guide_Introduction_to_Euclids_Geometry_class_9_Notes\" >CBSE Guide Introduction to Euclids Geometry class 9 Notes<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/mycbseguide.com\/blog\/introduction-euclids-geometry-class-9-notes-mathematics\/#9_Mathematics_notes_Chapter_5_Introduction_to_Euclids_Geometry\" >9 Mathematics notes Chapter 5 Introduction to Euclids Geometry<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/mycbseguide.com\/blog\/introduction-euclids-geometry-class-9-notes-mathematics\/#Download_Revision_Notes_as_PDF\" >Download Revision Notes as PDF<\/a><ul class='ez-toc-list-level-2' ><li class='ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/mycbseguide.com\/blog\/introduction-euclids-geometry-class-9-notes-mathematics\/#Introduction_to_Euclids_Geometry_class_9_Notes\" >Introduction to Euclids Geometry class 9 Notes<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/mycbseguide.com\/blog\/introduction-euclids-geometry-class-9-notes-mathematics\/#CBSE_Class-9_Revision_Notes_and_Key_Points\" >CBSE Class-9 Revision Notes and Key Points<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<p>CBSE class 9 Mathematics Chapter 5 Introduction to Euclids Geometry notes in PDF are available for free download in myCBSEguide mobile app. The best app for CBSE students now provides Introduction to Euclids Geometry class 9 Notes latest chapter wise notes for quick preparation of CBSE board exams and school based annual examinations. Class 9 Mathematics notes on Chapter 5 Introduction to Euclids Geometry are also available for download in CBSE Guide website.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"CBSE_Guide_Introduction_to_Euclids_Geometry_class_9_Notes\"><\/span>CBSE Guide Introduction to Euclids Geometry class 9 Notes<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>CBSE guide notes are the comprehensive notes which covers the latest syllabus of CBSE and NCERT. It includes all the topics given in NCERT class 9 Mathematics text book. Users can download CBSE guide quick revision notes from myCBSEguide mobile app and my CBSE guide website.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"9_Mathematics_notes_Chapter_5_Introduction_to_Euclids_Geometry\"><\/span>9 Mathematics notes Chapter 5 Introduction to Euclids Geometry<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Download CBSE class 9th revision notes for Chapter 5 Introduction to Euclids Geometry in PDF format for free. Download revision notes for Introduction to Euclids Geometry class 9 Notes and score high in exams. These are the Introduction to Euclids Geometry class 9 Notes prepared by team of expert teachers. The revision notes help you revise the whole chapter in minutes. Revising notes in exam days is on of the best tips recommended by teachers during exam days.<\/p>\n<h1 style=\"text-align: center\"><span class=\"ez-toc-section\" id=\"Download_Revision_Notes_as_PDF\"><\/span><a href=\"https:\/\/mycbseguide.com\/downloads\/cbse-class-09-mathematics\/1234\/cbse-revision-notes\/7\/\"><strong>Download Revision Notes as PDF<\/strong><\/a><span class=\"ez-toc-section-end\"><\/span><\/h1>\n<p style=\"text-align: center\"><strong>CBSE Class 09 Mathematics<br \/>\nRevision Notes<br \/>\nCHAPTER \u2013 5<br \/>\nINTRODUCTION TO EUCLID\u2019S GEOMETRY <\/strong><\/p>\n<p><strong>1 Euclid\u2019s Definitions, Axioms and Postulates <\/strong><\/p>\n<p><strong>2 Equivalent Versions of Euclid\u2019s Fifth Postulate<\/strong><\/p>\n<p>The Greeks developed geometry is a systematic manner which Euclid (300 B.C.) a Greek mathematician, father of geometry introduced the method of proving mathematical results by using deductive logical reasoning and the previously proved result. The Geometry of plane figure is know as &#8220;Euclidean Geometry&#8221;.<\/p>\n<p>Axioms :<\/p>\n<p>The basic facts which are taken for granted without proof are called axioms. Some Euclid&#8217;s axioms are<\/p>\n<p>(i) Things which are equal to the same thing are equal to one another. i.e.<\/p>\n<p><span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?a = b,\\;b = c \\Rightarrow a = c\" \/><\/span><\/span><\/p>\n<p>(ii) If equals are added to equals, the wholes are equal i.e.<\/p>\n<p><span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?a = b \\Rightarrow a + c = b + c\" \/><\/span><\/span><\/p>\n<p>(iii) If equals are subtracted from equals, the remainders are equal i.e.<\/p>\n<p><span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?a = b \\Rightarrow a - c = b - c\" \/><\/span><\/span><\/p>\n<p>(iv) Things which coincide with one another are equal to one another.<\/p>\n<p>(v) The whole is greater than the part.<\/p>\n<p><strong>Postulates : <\/strong><\/p>\n<p>Axioms are the general statements, postulates are the axioms relating to a particular field.<\/p>\n<p>Educlid&#8217;s five postulates are.<\/p>\n<p>(i) A straight line may be drawn from any one point to any other point.<\/p>\n<p>(ii) A terminated line can be produced indefinitely.<\/p>\n<p>(iii) A circle can be drawn with any centre and any radius.<\/p>\n<p>(iv) All right angles are equal to one another.<\/p>\n<p>(v) If a straight line falling on two straight lines makes the interior angles on the same side of it taken together less than two right angles, then the two straight lines, if produced indefinitely meet on that side on which the angles are less than two right angles.<\/p>\n<p>Statements: A sentence which is either true or false but not both, is called a statement.<\/p>\n<p>eg. (i) 4+9=6 If is a false sentence, so it is a statement.<\/p>\n<p>(ii) Sajnay is tall. This is not a statement because he may be tall for certain persons and may not be taller for others.<\/p>\n<p>Theorems: A statement that requires a proof is called a theorem.<\/p>\n<p>eg. (i) The sum of the angles of triangle is\u00a0180<sup>o<\/sup><\/p>\n<p>(ii) The angles opposite to equal sides of a triangles are equal.<\/p>\n<p>Corollary &#8211; Result deduced from a theorem is called its corollary.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Introduction_to_Euclids_Geometry_class_9_Notes\"><\/span>Introduction to Euclids Geometry class 9 Notes<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul>\n<li>CBSE Revision notes (PDF Download) Free<\/li>\n<li>CBSE Revision notes for Class 9 Mathematics PDF<\/li>\n<li>CBSE Revision notes Class 9 Mathematics \u2013 CBSE<\/li>\n<li>CBSE Revisions notes and Key Points Class 9 Mathematics<\/li>\n<li>Summary of the NCERT books all chapters in Mathematics class 9<\/li>\n<li>Short notes for CBSE class 9th Mathematics<\/li>\n<li>Key notes and chapter summary of Mathematics class 9<\/li>\n<li>Quick revision notes for CBSE board exams<\/li>\n<\/ul>\n<h2><span class=\"ez-toc-section\" id=\"CBSE_Class-9_Revision_Notes_and_Key_Points\"><\/span><strong>CBSE Class-9 Revision Notes and Key Points<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Introduction to Euclids Geometry class 9 Notes. CBSE quick revision note for Class-9 Mathematics, Chemistry, Maths, Biology and other subject are very helpful to revise the whole syllabus during exam days. The revision notes covers all important formulas and concepts given in the chapter. Even if you wish to have an overview of a chapter, quick revision notes are here to do if for you. These notes will certainly save your time during stressful exam days.<\/p>\n<ul>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-09-mathematics\/1234\/cbse-revision-notes\/7\/\">Revision Notes for class-09 Mathematics<\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-09-science\/1218\/cbse-revision-notes\/7\/\">Revision Notes for class-09 Science<\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-09-social-science\/1895\/cbse-revision-notes\/7\/\">Revision Notes for class-09 Social Science<\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-09-english-communicative\/1900\/cbse-revision-notes\/7\/\">Revision Notes for class-09 English Communicative<\/a><\/li>\n<\/ul>\n<p>To download Introduction to Euclids Geometry class 9 Notes, sample paper for class 9 Mathematics, Social Science, Science, English Communicative; do check myCBSEguide app or website. myCBSEguide provides sample papers with solution, test papers for chapter-wise practice, NCERT solutions, NCERT Exemplar solutions, quick revision notes for ready reference, CBSE guess papers and CBSE important question papers. Sample Paper all are made available through\u00a0<a href=\"https:\/\/play.google.com\/store\/apps\/details?id=in.techchefs.MyCBSEGuide&amp;referrer=utm_source%3Dmycbse_bottom%26utm_medium%3Dtext%26utm_campaign%3Dmycbseads\"><strong>the best app for CBSE students<\/strong><\/a>\u00a0and myCBSEguide website.<\/p>\n<ul>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/number-systems-class-9-notes-mathematics\/\">Number Systems class 9 Notes Mathematics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/polynomials-class-9-notes-mathematics\/\">Polynomials class 9 Notes Mathematics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/coordinate-geometry-class-9-notes-mathematics\/\">Coordinate Geometry class 9 Notes Mathematics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/linear-equations-two-variables-class-9-notes-mathematics\/\">Linear Equations in Two Variables class 9 Notes Mathematics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/introduction-euclids-geometry-class-9-notes-mathematics\/\">Introduction to Euclids Geometry class 9 Notes Mathematics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/lines-angles-class-9-notes-mathematics\/\">Lines and Angles class 9 Notes Mathematics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/triangles-class-9-notes-mathematics\/\">Triangles class 9 Notes Mathematics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/quadrilaterals-class-9-notes-mathematics\/\">Quadrilaterals class 9 Notes Mathematics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/areas-parallelograms-triangles-class-9-notes-mathematics-2\/\">Areas of Parallelograms and Triangles class 9 Notes Mathematics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/circles-class-9-notes-mathematics\/\">Circles class 9 Notes Mathematics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/constructions-class-9-notes-mathematics\/\">Constructions class 9 Notes Mathematics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/herons-formula-class-9-notes-mathematics\/\">Herons Formula class 9 Notes Mathematics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/surface-areas-volumes-class-9-notes-mathematics\/\">Surface Areas and Volumes class 9 Notes Mathematics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/statistics-class-9-notes-mathematics\/\">Statistics class 9 Notes Mathematics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/probability-class-9-notes-mathematics\/\">Probability class 9 Notes Mathematics<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>CBSE class 9 Mathematics Chapter 5 Introduction to Euclids Geometry notes in PDF are available for free download in myCBSEguide mobile app. The best app for CBSE students now provides Introduction to Euclids Geometry class 9 Notes latest chapter wise notes for quick preparation of CBSE board exams and school based annual examinations. Class 9 &#8230; <a title=\"Introduction to Euclids Geometry class 9 Notes Mathematics\" class=\"read-more\" href=\"https:\/\/mycbseguide.com\/blog\/introduction-euclids-geometry-class-9-notes-mathematics\/\" aria-label=\"More on Introduction to Euclids Geometry class 9 Notes Mathematics\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":9670,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[45,456],"tags":[457,150,683,426,240],"class_list":["post-9687","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-cbse-class-09","category-revision-notes","tag-cbse-notes","tag-cbse-notes-and-key-points","tag-introduction-to-euclids-geometry","tag-quick-revision","tag-quick-revision-notes"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.0 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Introduction to Euclids Geometry class 9 Notes Mathematics | myCBSEguide<\/title>\n<meta name=\"description\" content=\"Introduction to Euclids Geometry class 9 Notes Mathematics chapter 5 in PDF format for free download. 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