geometry short techniques and formulas

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Want more Updates http://facebook.com/tanbir.ebooks facebook /gmail/skype: - http://tanbircox.blogspot.com আনায ফু ক ফা pdf রযডারযয Menu Bar এয View অনরি Ʊে রিক করয Auto /Automatically Scroll অনরি কśন (অথফা যারয Ʊমরে Ctrl + Shift + H )এফায up Arrow ফা down Arrow Ʊে রিক করয আনায ড়ায ু রফধা অনুারয Ɔর ƒীড রিক করয রননȚ Straight line যররযখা (রকান ĴারফĢু Ʊনই) Ray যরŲ (একরি ভা ĴারফĢু) Line Segment Ʊযখা (দুরি ĴারফĢু থারক) Similar to দৃ Almost Equal toĴায় ভান Is Equivalent to / Congruent ফƳভ Angle Ʊকান Right Angle ভরকান Measured Angle রযভাকৃ ে Ʊকান Perpendicular To রŔ Is Parallel to ভাযার Therefore / Hence ুেযা Since / Because Ʊমরেু / কাযন Triangle রবু জ Rectangle/Square আয়েরে ফা ফগƳরে Circle ফৃ

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গণিতের শর্টকাট ফর্মুলার (ShortCut Math Techniques) এক্সক্লুসিভ বাংলা ই-বুক ।বিসিএস ,ব্যাংকার্স রিক্রুটম্যান্ট, IBA,MBA,GMATও GRE ও যে কোন প্রতিয়োগিতামূলক পরীক্ষার প্রস্ততির জন্য

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  • 1. Want more Updates http://facebook.com/tanbir.ebooksfacebook /gmail/skype: - http://tanbircox.blogspot.com pdf Menu Bar View Auto /Automatically Scroll ( Ctrl + Shift + H ) up Arrow down Arrow Straight line ( )Ray ( )Line Segment ( )Similar to Almost Equal to Is Equivalent to / Congruent Angle Right Angle Measured Angle Perpendicular To Is Parallel to Therefore / Hence Since / Because / Triangle Rectangle/Square Circle
  • 2. Want more Updates http://facebook.com/tanbir.ebooksfacebook /gmail/skype: - http://tanbircox.blogspot.com Euclids (): Elements 13 , 300 ,
  • 3. Want more Updates http://facebook.com/tanbir.ebooksfacebook /gmail/skype: - http://tanbircox.blogspot.com
  • 4. Want more Updates http://facebook.com/tanbir.ebooksfacebook /gmail/skype: - http://tanbircox.blogspot.com AOD = COD AOC = BOD = 180ADB = ADC = = 90 , = 90
  • 5. Want more Updates http://facebook.com/tanbir.ebooksfacebook /gmail/skype: - http://tanbircox.blogspot.com 0 < AOC < 90 90 < AOD < 180 180 < AOB < 360 AOB = 360 X
  • 6. Want more Updates http://facebook.com/tanbir.ebooksfacebook /gmail/skype: - http://tanbircox.blogspot.com 90 , 180 , DEF ACBAB || CD EF (Transversal) , AGF = DHE DGF = CHE
  • 7. Want more Updates http://facebook.com/tanbir.ebooksfacebook /gmail/skype: - http://tanbircox.blogspot.comAB || CD EF (Transversal) , AGF = CHF DGF = DHF ABC , BAC =B , ABC = B , ACB = C AB= c , BC = a AC = b
  • 8. Want more Updates http://facebook.com/tanbir.ebooksfacebook /gmail/skype: - http://tanbircox.blogspot.com ACD = ACB = , 180 Vertex (Exterior angel) 3600 , ( )
  • 9. Want more Updates http://facebook.com/tanbir.ebooksfacebook /gmail/skype: - http://tanbircox.blogspot.com , , 2:1 ( ) (In-Centre): ( )(Circumcentre): ( )(Centroid): (Orthocentre) :
  • 10. Want more Updates http://facebook.com/tanbir.ebooksfacebook /gmail/skype: - http://tanbircox.blogspot.comABC A , B c < 90ABC A C < 90 B = (900< < 1800)
  • 11. Want more Updates http://facebook.com/tanbir.ebooksfacebook /gmail/skype: - http://tanbircox.blogspot.comABC B = = 900 A + C = 900 A = C = 900 , 900 = + = + 3:4:5 , 5:12:13 , 8:15:17 , 7:24:25 , Multiple [ = + , 5 = 4 + 3 , 25 = 25 , ]
  • 12. Want more Updates http://facebook.com/tanbir.ebooksfacebook /gmail/skype: - http://tanbircox.blogspot.comABC AB BC CAABC AB = AC BC b = c B = C , , ABC AB = BC = AC a= b = c A = B = C =600
  • 13. Want more Updates http://facebook.com/tanbir.ebooksfacebook /gmail/skype: - http://tanbircox.blogspot.com , , ( ) 4 3600 A +B +C + D = 3600
  • 14. Want more Updates http://facebook.com/tanbir.ebooksfacebook /gmail/skype: - http://tanbircox.blogspot.com
  • 15. Want more Updates http://facebook.com/tanbir.ebooksfacebook /gmail/skype: - http://tanbircox.blogspot.com , n (Interior Angles) n = ( 2n 4) 900 = n 2 1800 = 180 )0 , n = 3600 = ( )0Area of HexagonA = 2.6 s2[where s is the length of one side]Area of OctagonA = 4.83s2[where s is the length of one side]
  • 16. Want more Updates http://facebook.com/tanbir.ebooksfacebook /gmail/skype: - http://tanbircox.blogspot.com , -
  • 17. Want more Updates http://facebook.com/tanbir.ebooksfacebook /gmail/skype: - http://tanbircox.blogspot.com (Arc): (Central Angles): , - ( ) ( ) 1 =
  • 18. Want more Updates http://facebook.com/tanbir.ebooksfacebook /gmail/skype: - http://tanbircox.blogspot.com = 2 , , , , ,
  • 19. Want more Updates http://facebook.com/tanbir.ebooksfacebook /gmail/skype: - http://tanbircox.blogspot.com = a = b , A = = a b S = 2 ( + ) = 2(a + b) d = + = = a A = = a a = A= = [ = 2 = 2 ] S = 2(a + a) = 4 a d = + = 2 a
  • 20. Want more Updates http://facebook.com/tanbir.ebooksfacebook /gmail/skype: - http://tanbircox.blogspot.com =a h = = a h a , b = a b n d X = (AC) (CG) = d X d1 d2 , = a , b d = 2 ( , ) [ , = S = = ] = 2 ( + ) BD = d1 AC(d2) = + = + + [ CF =DE][DE AB DE = ][BF BF = ]
  • 21. Want more Updates http://facebook.com/tanbir.ebooksfacebook /gmail/skype: - http://tanbircox.blogspot.com = = a AC= d1 BD= d2 A = ( ) = S = 4 AB =a DC = b CE = h = = (AB + CD ) CE = (a +b) h =
  • 22. Want more Updates http://facebook.com/tanbir.ebooksfacebook /gmail/skype: - http://tanbircox.blogspot.com BC= a AD = h = (BC) (AD) = a h , = = (a) (b) = a b n = b c n = c a n ABC BC=a , AB =c AC=b (2S) = = a+b+c S == = / / = b = a = 4 / ( = 60) / = a = = 3 a
  • 23. Want more Updates http://facebook.com/tanbir.ebooksfacebook /gmail/skype: - http://tanbircox.blogspot.com = = [ = ] ABC l , m n S = = ABC a , b c ; =R A = + + ABC a , b c ; =R A = , = =3.1416() = 1801= (S) (d)
  • 24. Want more Updates http://facebook.com/tanbir.ebooksfacebook /gmail/skype: - http://tanbircox.blogspot.com (r) = 2 = 2r = = = 2 r = 2 r r S 360 = 2 r ,, ,, ,, ,, ,, = = S = r S ,S = r [ 1= 180] = r , = r S , =
  • 25. Want more Updates http://facebook.com/tanbir.ebooksfacebook /gmail/skype: - http://tanbircox.blogspot.com OA= r1 OB = r2 , = = r1 r2 = 2
  • 26. Want more Updates http://facebook.com/tanbir.ebooksfacebook /gmail/skype: - http://tanbircox.blogspot.com =a , =b = c =d (Area of the Whole Surface)= = 2 (ab +bc +ca) (Volume) = = a b c , d = + + = = = a =d (Area of the Whole Surface)= = 6 (Volume) = = , d = 3 a
  • 27. Want more Updates http://facebook.com/tanbir.ebooksfacebook /gmail/skype: - http://tanbircox.blogspot.com (Right Circular) BC = r , AB= h AC = l l = + [ = + ] = (2r) (l) = rl = r + (Whole Surface) = ( l) + ) = r (l +r) (Volume): = ) (h) = h
  • 28. Want more Updates http://facebook.com/tanbir.ebooksfacebook /gmail/skype: - http://tanbircox.blogspot.com (Right Circular) OB =r OC =h = (2r) (h) = 2 h = (2rh) + (2 ) (Whole Surface) = 2r(h+r) = ( ) (h) = h
  • 29. Want more Updates http://facebook.com/tanbir.ebooksfacebook /gmail/skype: - http://tanbircox.blogspot.com = r = 2 =4 =
  • 30. Want more Updates http://facebook.com/tanbir.ebooksfacebook /gmail/skype: - http://tanbircox.blogspot.com [MOP + OPM 90- = 900 PMO] ( ) = + ( ) (3:4:5), (5:12:13), (7:24:25) (8:15:17) ( 5 = 4 + 3 ) n = [ ] = = [ ] = = [ ] =
  • 31. Want more Updates http://facebook.com/tanbir.ebooksfacebook /gmail/skype: - http://tanbircox.blogspot.com n = = = = = = n = = n n n + = 1 n = 1 = 1 n = 1 = 1 + = 1 = 1 = 1 + = 1
  • 32. Want more Updates http://facebook.com/tanbir.ebooksfacebook /gmail/skype: - http://tanbircox.blogspot.com sin 0 1212321cos 1 3212120tan( ) 0 131 3 cot( ) 3 1 130sec( ) 1 232 2 Cosec ( ) 2 2 2310, 1, 2, 3, 4, 4 , , , , n n 0 n 30 n 45 n 60 n 90 0,1 sin cos sin cos tan 1 n +1 1 +1 1 -1 n
  • 33. Want more Updates http://facebook.com/tanbir.ebooksfacebook /gmail/skype: - http://tanbircox.blogspot.com sin / cos / tan {n 90 ) } {n 90 } (