C "-7 ) 



Conflat ex Goniometria esfe 



lin. (^^+Z^)=2fin; ^ cof. ^ 4- cof. ^ Hn. ^. 

 cof. C^ + ^) =:cor. ^ cof. ^ — fin. ^ fin. ^. 

 Sic in his,.forniuIis Z' = (;^ •*- i) <^, turn enc 

 fin. «^=:fin. (« — i) acoC, a-^ cof. (^n — i) a Cm. ^, 

 coC ;^ ^rr'cof. (n—i^a QoiVa — fin. (n-- i')a fin. ^. 

 Si ponimus fin. ^ = 3? ec cof. a z: :j; habemus: 

 fm.azzy. ciof. «,irx, 



fin. 2 /7 in 2 X J. coC, laZIZx^ - y?, 



fin. 3 « SS 3 x^ry - ;ji? . , cof. 3 ^ =: x^ - 3 w y*, \ 



fin. 4 fl=:4 A^^-y -,43i3 ^,. cof. 4«=:x'^-5A;*j*H-ji:. 



fin. 5 ^ — 5 a:"^ 3^ - 10 a;* y^ + ;y5. cof. 5 /? =: .^^ _ j ^ ^3 ^% 



fin. 6 a zz 6 x^ y ' io x^ yl + 6 xy^* cof. (5 /? n x^ - i '^ x"*- >>* 



fin. 7 df = 7 x^ y-3S x^y^+2i x^ y'^-y'^. cof. y aizx"^ - 21 .v*' .7* 



fin. 8 a^2 x'^ y-s^ ^^'^ :y^-t-5<^ ^^^ j^-8 x y"^ . cof. S^rr.v^ - 28 .v<^ t^- 



Ex qua tabula patet formulas generales esfe 



fin. na-^nx ^^ y — • --■ — re*" ^ v^ 



. 3' >^^ - T- »?-?.> ^ --"3. « -4." g 



^ 1. 2. 3. 4." 5, ^ " ^' -...•, (l)^ 



cof. na^x"^-^ ' ' ^ x"'^v^ 



""" ~ I. 2, V 



I ^. r - I. fi ' 2. n - -2. 



Est I («"^v'-^-i (W«j5;>.= a"+ -— .,- 



D a 



