m JEQP ILIBRIO VIRIVM. 299 



aequilibrii naturam potentiarum A , B , C et D con- 



itinentes , 



A(fin.a-4-fin.^)— C(fin.p-f-fin.y)-t-(D-HB)fin.((3-|-Y) 

 B(fin.[3-Hfin.a)— D(fin.y-Hfin.^)-i-(A-|-C)fin.(y-h(J) 



C(fin.y»f-fin,p)— A(fin.<$" -f-fin.a) -f-(B-f~D)fin. (£-f-a) 



.D(fin.^-i-fin.y)=:B(fin.a-t-fin.p^-H(C-l-A)fia. (a-f-p) ^ 



1 6. Sint quinque potentiae A , B , C , D , E $■' * 

 punclo O adplicatae , quarum diftantiae funt p , ^,r, 

 s, t r et anguli AOB—a, BOC~p, COD~ y, 

 DOEzz^ et EOA=ze i erit ex lupra demonftratis 



dpzzdmcottp 

 dq-dmco{.{^>-\-a) 

 drzidmcoi ((p-f- a-f- (3) 

 </f=<//0cof\(p-f- a-f p-f-y) 

 <#=<//»cof.((p-f-a-f-p-f-y-f-<3 j 



dpzdmcoC ($> -f-(3 -Hy 4- 3" 4- e) 

 iqzzdmzofcty 

 4r-dmcoL{(p-{-fi) 

 /j-^wcof(<J)H-p-+-y) 



//r.<//»col.((p-f p-f yH-£) 



jpqzdmcbf (<P-f-y -f-£-f-e) fc</*»cof.(<|)-f £ 4- e) 

 'pqz.dm-.ol (<jM-y-f-$-M-H0 wqzzdmcot .. (p-f- £--f s~J-a) 



^-<//wcof.((p-f-<$-M-f-a-fP) 

 */f-*//«cof(p 



</*z<//»cof.($-f r $) 



//; zzdmcoi (P 



*/.f <//wcoi ($ f-y) 



,<#zd/«coU(p-f-y-f-£) 



<//>— </wcof((p-f-£) 

 pqzzidmcoi'.((p -f- r-f- a) 

 </r— </z»cof (Cp-f e-f a-f-[3) 

 </j — <//»cof ((p-f-e-f- a-f- (3-f-y) 

 dtzzdmcoi (p 

 Subftitutis his valoribus ipforum *//>, </^, ds etc. itic- 

 ceffiue in aequatione 



A dp -f- B </# -f- C </r -f- D d s -f- E dt =r o 



P p a elicien- 



