Opuscula • 203 i 
Alterum oftendltur per formulam 
f},_t m — 2 • m — I 
DSh.(^ Ch.(p= m-iS h.(p C k .(p dS h .^-^ S h 
dCh.cpy quia factis ut antea fubltitutionibus perveniemus ad 
formulam 
tD ^^.(^'""Ch.cp^ m - 1 /Sh.cp^^^^d^^-l- m - 1 S h.ci^^^dcp 
-^Sh.cp^^dcp; 
ergo translatis termlnis , fa(5laque integratione 
mSsJ^^'"d(!^:='-Qm~i r^S'ShT^"''^'' dcp-h t~Sh.Q?'"''' Ch.(i?' 
Q, E. D. 
Similem methodum applica reliquis duabus formulis , 
quae quantitates circulares compleduntur . Nam 
D.Cc.c^^^^Sc.^p-^^^T^ .WcT^^^^^^Sc.^^.dC c.(p-h C c.cp 
dSc.<p. Vro dC c .(^ . d s c . valores fubftitue , ut habcas 
^ m — 1 m — 3 3 • ta 
D.Cc.c^ Sc.^r^z- Qm-iCc .(p Sc.cp . Jcp -4- C c . cp 
dSc.cp. Pro S c . fcribe — Cc.(p , ut fdda. multiplica- 
tione per r proveniat 
rDCc.c^ Sc>cp:=i" Qm-i/Cc.cp dcp -h m ~ i C c .(p dc^ 
• m 
ergo tranfpofitis terminis , peracflaque integratione 
mS C c .c^"' d(^ =. m- 1 r^S C c .cp"' ^ dcp r C c . cp'" ^Sc.cp. 
Q, E. D. 
Ultimum theorema eadem ratione oftendltur. Etenim ex 
formula 
D ,Sc.(!p"""Cc.Cp— m-i ^^.(^""^''Cc.^.dSc.cp-h Sc.cp""" 
dCc.cp invenies 
mSAc.Cp d(p :=: m- 1 . r^ S S c .(p d Cp ~ r S c .cp'"'" C c .Cp , 
Q, E D. 
Ex quatuor , quae demonftravi theoremata , aliquot pri- 
mum corollaria maxime fimplicia deducamus . Si fupponas 
?w = o , invenies 
,^ ^ c > Qx Quibus con.itat 
L c . c c . f ^ J 
L c 2 d(p 
