204- OpUSCUlA • 
dcp divifum per qiiadratum fmus , aut cofinus integrabile efle , 
vei quantitates liyperboiicae fmt , vel circulares . 
Si m rr: I , habebimus 
SCh.(p,dcpz=:,Sh.<p, SSh.(p.dcp-rCh.cp:) ^ 
SCc .Cp.d^^rSc.cp, SSc.Cp.dCp=:rCc.(p)^^^ 
Ix ilix ipf^ fant , quas fuppofuimus . 
Demum fi w — 2, nancifcemur 
2$ Ch.cp d (p r"" ^ r C k . (p ^ S h . (p , 2S S h .(P d(p~-—r^ 
(p-V- r S'h .(^ .C h .Cp 
iSCc.cp dcp ~ r'^ (^ -^^ r C c .(p S c .(sp i 1% S c . (^^ d (p r^z r^ 
9 — rSc.^pCc.O). Qiiare differentia logarithmi analogi (^ 
in quadratum linus vei cofmus dependet a qaadratura iiyper- 
bol2£ , & diiferentia arcus circularis multipiicata per quadra- 
tum linus vel coilnus dependet a quadratura circuli . 
Iiiter iias formulas non invenies quatuor maxime f/mpli- 
ces , nempe -J^ ^ » 7.— » ^^^^ fupnoneres 
^ Ch.<p Sh.<p Cc.ip Sc.<p 
— iftae quidem prodirent in primo termino , fed con- 
jungerentur cum quatuor altioribus , —~ — , -Al — , 
C h . <p S h . (p C c . 
— ; quod oftendit , has ab illis dependere . Ut autem 
S c . 
noftrorum theorematum ufus ampHor efficiatur , neceffe e£i: 
prorfus, ut per aliam methodum harum formularum integra- 
tio inveniatur. 
Ordiamur a priraa , in qua pro dcp fubflituamus ejus 
, „ ril<p r^dShp d Sh.(p . 
valorem , ut fiat -^^ — = — ~ - — — —7 . Hu;us ror- 
mulx integratio exhibetur a fecT:ore circulari divifo per — , 
feu ab arcu circulari , cujus tangens —Sh.cp. Quare radio 
liU~r (i*'/^. i.jBO defcripto circulo HML, duftaque 
tangente , in eaque fe^fia Hl^DF — Sh.opy agatur K M I , 
erit S 7^^—- — ' — H M . Formula itaque -^— depen- 
L b . 9 r ^ L h . <p 
det a quadratura circuli.» 
Applicantes eamdem methodum formulrc fecundc-e nan= 
cifce- 
