ON GBAPHIC METHODS IN MECHANICAL SCIENCE. 



473 





C3 

 O 



'•5 

 a 



-c 



a 

 a 



S 



o . g 



g bo S 

 1^ Q 



bo 



a 



t3 



a 



O O O O „ - 



a a &I & o & 



a a a a;s a 



o o o o 2 o 



O t t T— I i-H ^H ^^ ^H 1-H 



i^ O O t>-t^i>.t— r-t^ 



OO l^ I— coooooooooco 



rH 00 00 rH.-H»-(i-Hi— l^H 



i a a a a a a^ 



a ^" be Sf ^ bi bC &6 

 ^13 '^ ^^^ 



ft o 



a rS 



i3 b o o 



p 4J -tJ +3 



O cS rt 03 



ft 3 o .2 



a ''B 





o 3 ^■ 



.2n3>g 

 "^3 'U 13 'tS S5 ^ 



ca 03 

 o o 



Ol— lUl— (I— II— 11— II— (I— IM 





be 



O 



3 

 u 



"3 

 o 



a 

 w . . S 



fl m m " 



i a a a 



^^ c3 rt ca 

 bJj tH H f-* 

 CO ot) bJ3 bD 



^S .S -S .5 

 ^13 'Ct) 



O M I- tH 



5 o o o 



as 



C3 c3 



c ^ 13 rQ *. 



o a a a 



O I— 1 1—1 1— I 



.5 



bo 



o 

 ca 



13 



W CO 



a a 

 1 1" 



O en o O 



n P CS ea 



o rt o Ci 



1^3 Eb'^ 'T3 



OOCOOD00O0(»0OCOO0(» QOCO 



<M (M CO CO 

 t^ t^ t^ t- 



CO CO 00 00 



00 OO 00 CO 



to 



tl 



w 



lO t>. 00 O O t^ M 



>< 



o 



5P s 



a 



bc2 - 



^ a> _c3 

 be HI a> p 



,'?S'S g bobobobobcbo 



H ^ S <! s o n c a n 



;2; ■ 



§1' ■ 



4) Q O (U QJ fl-1 

 (P CD C O CD QJ 



u. . „ .a .S .S .S .2 .9 



C SD bobooobcbobo 



pc] p^ H piq Pl] |x] 



bo 



; Xi r. 3 > > S 



Ml— HI— i>-Jl-5h-! >-<'— lSlZ!l>!'t>^']>— II— Ivl 



>1 ^ ^ 





CO t^ 



CO 



1—1 

 CO 



> 



CD CD 

 CO CO 



bo bo be bo bo bo 



P .S -S .9 -S -S 



*Z^ tH y* 't~i ^ fH ^ r-< ^ !-l 



(ii(Da)<u<yQ:'aj<Daj<iJ 



'^ '^ .S .S .S .S .9 .9 .9 -9 

 'bo'So"be"be be bo bo QO bo bo 

 acaaaaaaaa 



.9 .9 



'bb'bb 

 WW 



bo 





Q »==i bo 



»r! ai w 



^^ c a 



« H I-. ^f^ 

 WPhC-i W 



be bo 



.9 .9 



ID lU 



'bb'Sb 



p n 

 WW 



CO -* 

 CO (r- 



>> 



bo ba 

 P c 



(L> a> 



.9.5 

 'bb"Sa 

 p p. 

 WW 



o 

 W 



d 



"Eb f^ 



03 



o w 



o P 

 "13W 



3 <e 



■" CS <H 



ea 13 



g.9 



a 



03 



w 



^ m O <u 03 



3 w S S g 



^ ^ 6 



?; n: o 



'HP5 

 eS . 



. . .5" .SO 



__! _! ^ |3 ca 



^ ^ ^ "^ zi " o 



0) <p (p f^ m pp t; 

 p p a-^a '^ 



03 ca ca P ca "^ ■ 

 ffi ffi K 5 W ^' 



«] 



aj 



Pri hJ ^^^Hr;^H 



H^ 



si 



•9 o 

 w 



to m [» CO 



(U a> a> 01 



.9 P .9 .9 .a p 



'be'a'bo'Sl'bo-r"- 

 p c p p a bo 



WWWWW[| 



^d 1^ 13 c^ 13 



a p a a a g 

 3 a p 3 3 .2 

 o o o o o ■-; 

 B, ft CL, ft cu<1 



a a a a a lu 



o o o o o ja 

 OOOOOH 



D 



a a a a s g^a a-g 



. §W§§«^pa , 



a 

 >-i 



C3 



o o W 



a a 

 o o 



a a 



a a 

 o o 



a a 



■ S o 



to O M 



a ^ ^ 



a-g^ 



a 

 o 



a 

 >►. 



a 

 o 

 a 



a 

 o 



0) a 



fin O 



'■>-i< ^-3< 



o o 



CA 



• a 



'be 

 a 



• W 



bo 



a 

 •W 



-^ a 



03 ca 



"C <u * 



o S a "^'^ a 



boa b a oj op 



a-n-i^-g^i^ a 



„ „ a 



.«2 0Q-3) 

 Jtisa a 



• ^ ^ a" 



0.9 



S S a 



. r^ -ca .2 



-^■=>: 

 -tf -u i>- 



ca 03 ^ 



„^ to m O 



tu Ol ft) 4H 



a p 



w g^S ^-^ : w .9 .9 .9 a 

 -aWi3W^'^o''^SPg 



§flga.»=§«wwo 

 &,-;3 ft tt) <u ft.23 a a ^ 



pya^t^-T^a-T-icicsp 



o a ■ • 



--Caaj/J^HH*-'!!!!!) — 



ca 

 o 



ft 



. IH 



lU 



& 



o 

 . ft 



o 



a 

 >^ .2 

 o ■ ca 



lO ^ 



a ,„ 



5 JO a) a 

 -^ - a 



a o 



P W 



'^ Jf'bb.t: 



^j a XT ^ 



P M rS'd 



o y^ W a 

 .S^ bo=« 



St2.9'^ 

 ll> a 



a a a J iJ >. 

 UP-i OH ft H 



a 

 o 



a 

 o 



^% 



w^ 



a "^ 

 a (>^ 

 o p 

 ftW 



a 2 



OH 



a a 



o o 



a a 



a a 



o o 



a a 

 << 



