ON GRAPHIC METHODS IN MECHANICAL SCIENCE. 



443 



O 

 O 

 m 



Oi 



< 



(Q 



o 



13 



3 



«5 



oo 



CO 00 



o »o 1 I 

 00 oo t- t- 



.-< l-H 00 oo 



CO 

 OO 



CO 

 00 



oo 





n 

 o 

 o 



a 



OS 



as 





S MPS 



I 1 



e3 



.2 



-»^ 

 C3 



■«^ 

 Oi 



13' 



C 





"3 -s 



t— CO QC o> 



00 00 00 00 



Gi ^ Ci d 



t- l^ t— t- 



oo OD oo 00 



o 



J, 05 00 



£ OO 00 



1 I 



O O O O r^ 



00 oo 00 00 00 

 oo CO oo 00 oo 



o 



05 





-- k^ 





X 

 X 

 X 



^"x 



00 



00 



CO 



o 



o 



(M 





« H •-! |> 



a a r-! M 



X 

 X 



00 CO 



>> 



X^' 



o 

 00 t- 



CO (M 



. CO 



^- 



s^.-S 



^xx 





X 



CO 

 I— I 



X 



X 



\^ 



CO 



. "5 



X><^.X 

 Mt>< X 



o 



5>C 



.9 



CM 



o 



<u 



<u 

 ;-! 

 Eh 



a) 



ft 



2 



bo 

 o 



o 

 v 



CO 



o 



a 



a 

 o 



a 

 < 



bo 



a 



o 

 o 

 <u 



02 



a 

 o 



CD 



'£3b 

 a 



..I 



bflO 02 



Huh 

 WPhPh 



S3 



w 





02 



-§ 



:W 



^ <5 



5 a 



c« 



bo 



a 



a 



bo 



.S 



CD 



a 



• i-i 



bo 



a 



bo 



a 



bo 



a 



bo 



.S 

 'E5 >- 



a; a> 



(U (P 



.S.S 

 'bb'bo 

 a a 

 WW 





-M " o 



S!l:cQ bo bo 



_g '^ _^. a a 



^ « O QJ qj Q) 



> 



a 



o _ 



;-• cA -a 



bo 



a tn m 



sh a a 

 5'-' S 



bo 



a 



be bo 



a ,a 



o) <u a) 0) 



(u 0) a> (u 



_a _a a a 



'Eo'bo'bo'bD 



a a a a 



3 



o 



a 



a 

 o 



a 

 < 



a -tS 



a 

 o 



I 



a 

 o 

 a 



a 

 o 



a 



a 

 o 



a 

 <! 



a 

 o 



a 



a 

 o 

 a 

 < 



o 



a 



a 

 o 



a a 



a a 

 o o 

 a a 



a -s 



O 1-1 



a ■ 



a 



o • • • 



;r< a <u 3 



fe o g o 



• a ,^ a 



.a -a 



j> oft) o 



<D a a 









m rji m 



3 a S ^ 



o o o >> 



a a a>5 



a a a ■ 



O O O OQ 



a a a . 



bo 



a 



o 

 u 



a; 



CO 



'a 



• 03 



C3 



a 

 bog 

 a S 



bo 



a 



03 



bo 



a 

 I 



'•" a 



a a^ a 



§ bOo 



•=1 5-« 



a> 



o 

 'S 



_ a " 



I^S 



(H a 



c« o 

 0) o 



"cc 



3fi P 



O m ^ 



5 00 o 

 . . .^ 03 



O) 



ft 



tn 



.S 

 '3 



o 





Ph 



a> 



ft 



02 



a> 



a 



rt .2 C 





a^ 



CO cS ■ ■ 



■a ^^ 



a .a 



S Q " to g 

 a a. o -c .a S5 ^ g ^ 



n 



o p. 

 ■ti ft 

 o <! 



tH rO bo 



f^ .a .«> s 



^3 a H 

 - a o 



CO tn 

 ft-. 





o g 3 w S^M s S s ^ '^ 



MOg A ^ 



H 





HP 



a 

 •'3: 



• bo 



a 



•-3 

 93 a 



a 

 ^ o 



a o 



0) -r-i 



a rt 



"S ^ 



(13 (1) 



ft m 

 t<! ^ 



WO 



m 



r^ CA 



ft W 



• g ^H 2 



o "rH a 



03 t3 S 



13 M !S 



.2 bo.S fS 

 -w a bo 



Saw S 



13 



a 

 o 



c« 

 o 



03 O 

 . . ;-< 03 



«> 2 a 

 J) ft S 



03 03 



<u 



bo 



03 



a 



a) .-^ bo^ +j -r^ 



to hn rt :^ CO c3 a 



5 S M a 3 .S w a & J 





all 



03 Ph 



a j3 03 tj 



OH?2;W 



.a • 

 ft 



cS 

 H 

 bo fc, 



.2 o 



bpa 



a 1-4 



Sq3 •" 

 O 03 n O 



"3 "-I S 



sj» M a 



-M 03 +3 <1 



a I- (S o> 



