unde feqnitnr riii AC'~finBC'. Eodera cafLi eft (J. ic) 

 l~ y k- ~ '- (i - cof z cx.) fcLi k = : fin y. , iinde in ae- 

 quationibas 111, IV, fit z z= oo, qiiia latus coni O H ad 

 axem OG noimalis eft. In aequaiione vcro VI (§. 14.) 

 eft v'~u-, qiioniiiin abfciirae u in refla OG per cenlriira 

 fpliaerae O et medium G arcus EF capiuntur, ordinaLae 



V ad O G normales, unde ob G O E nz G O F — ^q" , ftt 



V ~ u. ProieQio nempe conftat binis rcftis E O E\ F O F''. 



Problema 11. 

 §, i<5". Inveuire locum verticis trianguli fphacricif fi 

 ratio cofmuum hiiiorum latcrum eft confians. 



Pofito cof AC — ncofBC eft 

 cof$ — ncof(a — (p) (J. 3.) 

 :r= n cof a cof (|) -\- n fia a fin Cj), ideoque 

 tanff(b — i_:_2-££2, 



et \p prorfus eliminatur, h. e. arcus Cj) valorem habet de- 

 tcrminatum, qui\is aut:m valjr arcus v[/ problemati fatis- 

 facit. Capto igitur AD — Arc. tani; LnlllLi, et eieao cir- 

 culo maximo D C ad A !5 normafi, e cuius quovis punOo 

 C ducaniur circuli maximi CA, C B, conitanlei erit 

 cofAC — /icofBC. 



Cafu n— I eft tang A D r tang^ .i, et circulus DC 

 problemati faLisfaciens per mediuni arcus AB iranfit. 



Cafu n — o eft z=z 90°. Capto eiiim A D — pr % 

 A erit polus circuli D C, idcoque conftanter A C =z 9^% 

 et cof A C ; cof B C — : cof B C. 



Cafu 



Fig. 5. 



