FROBLEMATUM ASTRONOMICORVM. 



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BC , ct du(flis ex polo acquatoiis P quadrantibus 

 PD, PE, erit DE coiuienicns mntus Afcenlionis 

 rctflae-, dcbcnt ergo arcus BC ct DE inter fe acqua- 

 ri. Vocatis obliquitatis Eclipticae Cofinu r, BC 

 aut DE tangente /7, AB tangentc .v , cnt in trian- 

 gulo redangulo ABD i ■.c—x: tang. AD— t.v, vnde 

 tangcns fiimmac AE~ °^"^ per §. 6. Dljjert. cit. 

 Ex eadem ratione tangens AC cft — 7^^-i et in 

 triangulo CEA cll rurfus i : tzr ,"^2^^ : tang. AE— 



«C-4-CX 1 ,-• o-l-CJC OC-f-CX _ , 



7—^, Yudc lit TEacx— TTHSi > ^"^ aequatione ad 

 eandem dcnominationcm redada, ct diuila pcr i— i', 



fit.x—±'^^-^l:^--^^^. Itaquc fi dcfiderc. 

 tur locu> aliquis B talis, vt affiimto motu in longi- 

 tudincm dato, cuius tangcns fit ^, conucnicns mo- 

 tus Alccnfionis rc(flac motui priori in longitudinem 

 fit acqualis, fimicndus erit pro .v valor modo inucn- 

 tus. Si vero motus in longitudinem afTumatur in- 

 flantaneus , fict BC arculus infinite paruus , cuius 

 proinde tangens rt euancfircf, vndc formula inuenta 

 dcgenerat in hanc; .v— -f-^^, aut vocata cotangen- 

 tc ipfius AB, quae erit tangens ipfius HB didantiae 

 Solis a Solftitio, zz /, crit f— /-, vnde conciudi- 

 tur, quod tangens diftantiae Solis a Solflitio , fit 

 mcdia proportionalis inter radium et cofinum obli- 

 quitatis Eclipticac ; quae cfi eadem rcgula quam in- 

 ucnit T)om. Parent ope Calculi Diffcrentialis in Co/;/- 

 ifient. Acad. Scicnt. Furijinae 1704., png. 187. Edit. 

 Anijlelod. Itaquc pro obliquitate Eclipticae hodie 

 fere reccpta -.3° 29' inucnitur //—9.9812263, cui 

 Tom. ly. V pro 



