299 

 tang-J = pQ* — p* q$* -f- (i -f- _ f) p* ^ 



- (H • 3 + _£| • 4<f + ^ 9*) J>V" + etc. 

 Quodsi eodem modo ponatur »__:3, 5, 7 etc. casusqae hi 

 singuli evolvantur substituanturque in aequatione notissima 



7 == ran §7 — I tan S 5 T + f tan g y T — f tang'f .+. etc. 

 habebitur 



^- — joé 2 — p 2 q^ -h (| +■ 2 g 2 ) p'0« — (3 + 5 g 2 ) p*g0 8 

 •+ (fH-i2<7 2 4»i4qr 4 )P ï , ° — (10-f-^ g 2 -H42<7«)pV 2 + e tc. 

 qnae est séries a cel. Mollweide data. 



Eodem modo valor quantitatis sin ~ ope expressionis 

 praecedentis pro (tg — ) n derivari poterit , cctm sit 



Je 



tans 



_____ & 2 

 ^î-t-tg 2 ^ 



<,i n _L— — te-— ïte 3 -+— ^te*-— -^-^-t£ 7 -^-etc 



Pro cos * habebitur pari ratione 



cos * — i _ i tg 2 ^- + -Lit. t g** LJ_4 te*^- -f- etc. 



Porro simili calculo invenitur 



i-tg 2 - 



cosa:— 1— i - 2 tg 2 --f-2 te*-— 2 tg 6 --+-2 tg 8 - — etc. 



H_te 2 — .* • 



2 tg — 



sinx =± i-rn 2 tg - - 2 tg*- .+. 2 tg 5 - - 2 tg 7 - ~h etc.' 



38 *" 



