geometry short techniques and formulas
DESCRIPTION
গণিতের শর্টকাট ফর্মুলার (ShortCut Math Techniques) এক্সক্লুসিভ বাংলা ই-বুক ।বিসিএস ,ব্যাংকার্স রিক্রুটম্যান্ট, IBA,MBA,GMATও GRE ও যে কোন প্রতিয়োগিতামূলক পরীক্ষার প্রস্ততির জন্যTRANSCRIPT
- 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 } (