113 



tg. X ex formula c abit in cotg. x. 



COS. (x -+■ q) ■ sin. {x — q) 



similis vero formula pro valoie Ax positive dcducitur; 



Q.q ^n . -^- 2 (sin. q) 



+ (^^î-^^)^(2sin.q)^.ïcotg.x 



- r^^"^ • (2 sin. g)^ (_ X + ï cotg.^ X) 



-f- C'^i^rV • (- ^i"- ^)' (+ if cotg.x + i^g cotg.'x). 



/) Posilis denique cpxrztg. x^ exoritur: 



A X -Tz [A 'p X . cos.^ r] 



4- (A 4) X . COS. 2 x)^ . ( — tg. x) 

 -(- (ACpx . C0S.2 x)' (—§-+- tg.^ x) 



(ACpX . C0S.2 x)* (tg. X — \ tg.^ x). 



Cum vero jam sit ^^x — ^^^j^^^^^y^^, obtinetur: 



1 COS. (x -t- qj ' Vcos. (x + qy T O 



-I- C:^;^^,)' ^in- <?•' (- i + tg-^ ^) + 



Ilaec fere sunt, quae dum praecessionis calculum prose- 

 quebar, adplicari posse reputabara. 



M'f moins de V Acad. T. III. ^^ 



