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Line 105: − ====== Contributed by Rekha .D .R, Assistant Mistress, G.H.S , Jayanagar 9th Block, Bengaluru-69 ======+ +
Introduction to Euclid's Geometry (view source)
Revision as of 10:27, 26 April 2019
, 10:27, 26 April 2019→Worksheets
*# [https://cbsemathstudy.blogspot.com/2012/08/cbse-ix-introduction-to-euclids.html CBSE math study] - This website gives self evaluation worksheets that can be downloaded.
*# [https://cbsemathstudy.blogspot.com/2012/08/cbse-ix-introduction-to-euclids.html CBSE math study] - This website gives self evaluation worksheets that can be downloaded.
*# [https://ncssm.instructure.com/courses/789/pages/8-dot-1-introduction-to-euclidean-geometry?module_item_id=58990 NCSSM] - This website gives lesson plan for introducing Euclidean Geometry.
*# [https://ncssm.instructure.com/courses/789/pages/8-dot-1-introduction-to-euclidean-geometry?module_item_id=58990 NCSSM] - This website gives lesson plan for introducing Euclidean Geometry.
*# [https://en.wikipedia.org/wiki/Euclidean_geometry Wikipedia] - Euclidean geometry is axioms and postulates describing basic properties of geometric objects.
* Books and journals
* Books and journals
=====Activities=====
=====Activities=====
======[[Axiom 1: Things which are equal to the same thing are equal to one another|Things which are equal to the same thing are equal to one another]]======
======[[Axiom 1: Things which are equal to the same thing are equal to one another|Things which are equal to the same thing are equal to one another]]======
Comparison of geometric parameters to check for their equality, for example if an area of a triangle equals the area of a rectangle and the area of the rectangle equals that of a square, then the area of the triangle also equals the area of the square.
======[[Axiom 2 and 3: If equals are added or subtracted to equals, the wholes are equal|If equals are added or subtracted to equals, the wholes are equal]]======
======[[Axiom 2 and 3: If equals are added or subtracted to equals, the wholes are equal|If equals are added or subtracted to equals, the wholes are equal]]======
Euclid, magnitudes are objects that can be compared, added, and subtracted, provided they are of the “same kind.” Addition or elimination of equal parameters to equal quantities results in equal things, for which the relation of equality and the operation of subtraction make sense. In Euclid’s mathematics this relation and this operation apply not only to straight segments and numbers but also to geometrical objects.
======[[Axiom 4: Things which coincide with one another are equal to one another|Things which coincide with one another are equal to one another]]======
======[[Axiom 4: Things which coincide with one another are equal to one another|Things which coincide with one another are equal to one another]]======
From Euclid’s use of the word “equal” means “the same size”; two geometric figures are equal is justified by showing that one can be moved so that it coincides with the other.
======[[Axiom 5: The whole is greater than the part|The whole is greater than the part]]======
======[[Axiom 5: The whole is greater than the part|The whole is greater than the part]]======
Two individual things are connected together to form one entity then each of these two things that form a whole is smaller than the whole.
=====Solved problems/ key questions (earlier was hints for problems).=====
=====Solved problems/ key questions (earlier was hints for problems).=====
#What was the name of the book written by Euclid ? How many chapters did it have ?
#What was the name of the book written by Euclid ? How many chapters did it have ?
======[[:File:INTRODUCTION TO EUCLID GEOMETRY.pdf|Introduction to Euclid's geometry 1]]======
======[[:File:INTRODUCTION TO EUCLID GEOMETRY.pdf|Introduction to Euclid's geometry 1]]======
======[[:File:EUCLIDS GEOMETRY.pdf|Introduction to Euclid's geometry 2]]======
======[[:File:EUCLIDS GEOMETRY.pdf|Introduction to Euclid's geometry 2]]======
Contributed by Rekha .D .R, Assistant Mistress, G.H.S , Jayanagar 9th Block, Bengaluru-69
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