44 C M M E N T A T ip.^ 



. COSff.COSA , COSo-.Cv 



cos 5 = — cos C «3- + >.) + cos + 0« -^ , +cos-</ .■,-7— 



«^ ' /- • V -^cosy.cos/ cosr.c 



COStr.COSX ,, 



Ponito : 2 cos /> = , = /V 



'^ cos j.cos l 



Erit: 

 COS 5 = COS (c- + a) + 2 COS j) . cos (j + /) 4- 2 cos ^ . cos d 



— __ cos(;cr+A)+cos (y+/-i-/))-i-cos(5+/-/')+cosC'''^-j-p)i:COS.C^-p) ^ 

 i^sinvSrz:— H-sinv (tr+A) + i - sinv (;+/+^) + i-sinv. C^+Z 

 + I — sinv (jl+iO + I - sinv (d—p^ 

 sinvS = susinv (o- + A) + sinv (j + /+/))+sinv C^ + /. — />> 

 + sinv (^+/)) + sinv (^ — p) — 4 

 sin*i5=cos = f((7 + A) — cos§(5 + /+^).cosiC5 + /— ^..iV|' 



Ponito : 

 s,\n^lcp=: cos i (:>• + /+f/) cos i (j + /— /^) . A^ 

 Erit: 

 sin - § S = cos = i (^+a) — sin ^ i ^ = cos I Co-+A+4)) . cos f (A+ffJ'; 



sin 11=. l^cosJ^5- + A + cp)cost(A + (J- + a5) 



cose- cosA 

 cos ^ = _ cos ((T + a) + (cos (;+/) + cos ^) . ^^^77^/' 



cos 0- .c 

 I— cos5=i+cos"((r + A)— (cos(f+/) + i--i+cosrf) . ^^JTTJ 



, sinv S = susinv (tr -r a) — (susinv (5 + /; — sinv d) . N 

 ^ Habetis eepteradecim ejusdem problematis so. 



lutiones , ut , quod ad eventus rigorem cal- 

 ^\^ culique tum brevitatera , tum elegantiaifl- avtt-i- 



neat, niliil desideretur. Facile tamen unusquis- 

 que perspexerit , haudquaquam omnea ejusiiejn 

 esse notae: imo immaue q.uaiitum iiiieiiest dis- 



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