D9P 

 tangf — pO'- — p^ q$*-^(i-^l^ q^) p^ $* 



Otiodsi eodem modo ponatur nr^3, 5, 7 etc. casusqne hi 

 singuli evolvantur substituanturque in aequatione notissima 

 T — ^^ngT— ft^ng'-J + itang^l — jtang' J-H etc. 

 habebitui" 



^:=:pù' — p'qô*-\-(^^ -f- ùq')p^^-^(3 + 5q^)p*qô« 

 -+- (f -f- 1 2(jf^ + 1 47*) ;;^i)'° — ( i o -+- -^-9^+429*) p V + etc. 

 quae est séries a cel. Mollweide data. 



Eodem modo valor quanûtatrs sin — ope expressionis 

 praecedentis pro (tg t)'' derivari poterit, cum sit 



Pro cos * habebitur pari ratione 



c5s - — 1 — î tz^ - 4- -^ te*- "-^-^ tg«- -4- etc. 



2 DO a ' i.2.;-^.Os 1.2.3.23 O2 ' 



Porro simili calculo invenitur 

 1— tg^- 



COSXZIZ ^=1— 2tg^-4-2tg^-— Ctg<'--|-2tg®- — etc. 



iH-tg^-f- 



X 



2 tg — 

 sinx = ^= 2 tg ' - 2 tg'^ -H 2 tgï| - 2 tg7^ H- etc. 



X 



tangxr:— ^-î-:iz: tg f -^ tg' -^ + tg^ | ^ tg^ f ^- etc. 



38* 



