23 i DE MOTV 



quae reducitur ad (equcntem f)rmam: 



-dp fin. 0( 7?( I -cof. (|)) -f cof (^ +dq{i -cof. (J); (r ^^ 

 — rcoI.Cp i+^<7^+2/)^fui (^'-^i/r^i-col.CpK^^^i-col.cP) 

 -fcol.4))-<^C^(^rfin.(p-p^</(i-co(.(I))+p). 



§. 41. Tertia denique formula Yi"ddQ"-Q" ddVi'[ 

 formabitur ex frndione 



C^' q r [i — cpj. $) — -piin, (J) 



H" r r(i — co/. (pj ^^~co/. cp~ 



Sufficiet enim has tres formulas euoluifle , quoniam 

 fequentes per analogiam indc deducerc licebit j at 

 difFcrcntiatione indituta prodit ifta forma : 

 n( I— cof ()))'( r^<7 — 9 ^r)—/)rr</ (pco(.Cl)(i— cofCp) 

 ^prrd(^(\v\.(^' -^- {qdr~hrdq)coi: (p( i— cofcj)) 

 4-7>v/Cpfin.(I) ol (p+^r^(i)(ui.(pvi— col(p;— ^/pfin.(pcof(p 

 — ;)fl'Cpcol.(p'-/;(/^fin.(I)'+2_prr/rfin,(p^i-coI.(I)) 

 -rrd'/)fin.(p(i-col.(p) 

 quae contrahiiur in illam 



-r//)fin.(p(rr(i-co(.(p)-Ho(.(p)-f-r^<7(i-cof.Cp,(n-(i-cof.Cp,+cof.(J)) 

 +rt'r(i —col. (|))(2/)rfin. Cp — (/rr-i-^/coI.(p(i + rr) 

 +</(p(ryrfin.(p-i-/)rr(i - col. (p ) -/; ). 



§, 42. Subflituantur nunc hi valores in ae- 

 qnatione ^[dt, ac prodibit fequcns acquatio: 

 ^\dt — —Adp[i -pp) fi n. (p( I -coi;(p)+ Ar^y/V^( i -cnf (|))' 

 H- fin. (Pf-Aqdrippi i - co(. (p )^-H fin. (|) )' 

 - A «'(p^ /) ( I -/)/»; I - coi: (p)-Bdp fin. (p.//./, I -col (p) 

 +col.(|)) i-B^^(i -cu[.(Ptrqq-rco[.(p{i+qq)^:ipqC\n.<^) 

 -B^^r(i-col.(|))(</^(x-col.(p.+ coi:c|))-B^/(p//rfin.(p 

 —//^7; I - cof (p;-|-/))-G//.' fii).(p (rr( I -co(.(pH-cofCp) 

 + C r rt' ^ ( I - cof Cp ) ( r r ( I - cof (p )-f- cof (p) 

 +C//r(i-co(;cpy2/)rfin Cp-^rr + jco(.CpCi4-rr)) 



+Cr/Cp//rnn.Cpf/;rr(i-cof .)-/)). . Ex 



