roue!* Arnvi AI A I-.:M. Hj 



'Fmeet ml a 



Appn iritoto i 



:oea may bo suppoed to act at 



lie point iralfeIognuB de 



I A C as adjacent aide* will have a diagonal 



J/> will 

 resultant of two f,, rocs represent. 



1 by AD mar be re*>lre.i 



two force* represented by half A limn !arly 



may be resolved into half BC and half //.I ; and 

 may be resolved into half CA and half 



o half AH is equal and opposite to the ferce 



are in equilib 



II figure of the preceding proposition forces re- 



straight lines UA, ill be in 



equilibrii 



nt of the force* Gil and (7(7 acts along 

 icrc is not hree forces GA. 



iiave a resultant >warda If or from 





 way it may be shewn tl 



equilibrium tlu-ir n straight 



and also in the straight line (V. Hut it i* imnpssi- 

 Mr that tiu n MI I (ant can art in tlmv iliffm-nt ^tniijht lines. 

 ^es (*A t OB, GC must be in equilibriaa, 



As the student is probably aware, it may be shewn by 

 t AO is equal to twice (7/>; and thiw the pre- 

 may be established d hut we hare wed 



..re given fur the purpose of illustrating me- 

 iples. We mar observe that we have thus by 



leinonstrated that 

 esnltant of OB and UC is 

 ice OD. 



o AD-*GDi BR-*GE,vA CF-*GF.\\* 

 .\h. * proportion ** the 



/ '; so that the first proposition may be deduced 



m the sccoi. 



