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# Introduction to Euclid’s Geometry

Jan 09, 2016

## Documents

Rishabh Sardana

Geometry lesson for primary schools
Welcome message from author
Transcript
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Rishabh, IX A , Roll no, - 36

KB DAV Senior Secondary

Public School

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PostulatesPostulates

1.1. A straight line may be drawn fromA straight line may be drawn from

any one point to any other point.any one point to any other point.

2.2. A terminated line can be producedA terminated line can be produced

indefinitely.indefinitely.

3.3. A circle can be drawn with anyA circle can be drawn with any

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PostulatesPostulates

4.4. All right angles are equal to one another.All right angles are equal to one another.

5.5. If a straight line falling on two straightIf a straight line falling on two straight

lines makes the interior angles on thelines makes the interior angles on thesame side of it taken together less thansame side of it taken together less than

two right angles then the two straighttwo right angles then the two straight

lines if produced indefinitely meet onlines if produced indefinitely meet on

that side on which the sum of angles isthat side on which the sum of angles isless than two right angles.less than two right angles.

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Aio!sAio!s

1.1. !hings which are equal to the same!hings which are equal to the same

thing are equal to one another.thing are equal to one another.

2.2. If equals are added to equals theIf equals are added to equals the

wholes are equal.wholes are equal.

3.3. If equals are subtracted fromIf equals are subtracted from

equals the remainders are equal.equals the remainders are equal.

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Aio!sAio!s

4.4. !hings which coincide with one!hings which coincide with one

another are equal to one another.another are equal to one another.

5.5. !he whole is greater than the part.!he whole is greater than the part.

".". !hings which are double of the same!hings which are double of the same

things are equal to one another.things are equal to one another.

#.#. !hings which are hal\$es of the same!hings which are hal\$es of the same

things are equal to one another.things are equal to one another.

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So!e De"initions

#\$ Point % A s!all dot !ade by a

shar& &encil on a sheet o" &a&er

'i(es an idea about a &oint\$ A

&oint has no di!ension\$ It hasonly a &osition\$

)\$ *ine % It should be a strai'ht line

and etended inde"initely to both

the directions\$

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So!e De"initions

3\$ Plane % Sur"ace o" a s!ooth+all, sur"ace o" a sheet o" &a&erare called &lane\$ Sur"ace is that

\$ Ray % A &art o" the line * +hich

has only one end A and containsthe &oint B, then AB is a ray\$

A BL

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So!e De"initions

\$ An'le% .hen t+o linesdi(er'e "ro! a co!!on&oint, an an'le is "or!ed\$

6\$ /ircle % It is a set o" all those&oints in a &lane +hosedistance "ro! a "ied &oint

re!ains constant\$ 0he "ied&oint is called the centre o"the circle\$

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So!e De"initions

1\$ *ine se'!ent % A linese'!ent is a &art o" line+hen t+o distinct &oints, let

A and B on a line are 'i(en\$0hen the &art o" this line +ithend &oints A and B is called aline se'!ent\$

2\$ Radius % 0he distance "ro!the center to a &oint on thecircle is called the radius o"the circle\$

A B

r

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So!e De"initions

\$ S4uare % A 4uadrilateral in

+hich all the "our an'les are

ri'ht an'les and all the "our

sides are e4ual\$

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