) 3" ( %n<' 



pro angulis autem r — vj^ et r -\- \\/ habebimus : 



fin. (r— >!') zzfin. (r— •y))4- 2 £ fin. f cof. (r — y^) 

 cof. ( r — v{/ ) =: cof. {r — y\) — 2 e fin. t fm. [r — y\) 

 fm. ( r -t- v{^ ) n: fin. ( r + -vi ) — 2 e fm. / cof ( r + >) ) 

 cof (r + vly):izcof. (r + ^l^^- 2 £ fin. < fm. (r-f-y]). 



§. 4.2. Hinc igitur ambas literas A et B ad in- 

 ftitutum noflrum magis accommodatas exprimere poteri- 

 mus , quibus per analogiam adiungamus pro tertia aequa- 

 tione literani C ~ fm. »fin. vj/. NancifcemHr igit^r Jjos va- 

 lores : 

 A =: cof. '/ cof. (r - 71 ) -f fln. ;' cof (r 4- >i) 



rs- 2 e cof. i' fm. r fin. (r — »] -^ Ji e -fip- 1* fin. | lin. (r + -kj j 



B = cof ',' fin. (r — -vj^ + fin. 'i' fin. (r^- •>]) 



+ 26 cof 'i* fin. / cof. (r — >j) — 2 e fin. '/ fin. / cof. (r ■{- >j) 



C — fin. i fin. ij — 2 e fin. i fm. f cof. ^. 



§. 43. In his formulis potidlmum occurrit angu» 

 lus r — 7), qui reperitur, fi ab argumento latitudinis Lunae ff 

 fubtrahatur diftantia Solis a Nodo media >j iz: ^ — ^. Cuni 

 igitur angulus r reperiatur, fi a loco Lunae medio in or- 

 bita fubtrahatur locus nodi ^, vt fit r zz — ^, fiet ifte 

 angulus r — ■>! — — ^, qui ergo habebitur, fi a loco lunae 

 medio fubtrahatur longitudo Solis media ^. Ponamus 

 igitur breuitatis gr. hunc angulum r— •>) — & — ^— /), erit- 

 que y\z=zr—p et hinc r + y^— 2r—p. Porro fit etiam 

 breuitatis ergo cof '5' — jjl et fin. '5' — v, ita vt fit ^ + v z: i 

 et IX. — y — cof i ; vbi notafle iuuabit, ob angulum i fatis 

 exiguum , fore [jl — i et v fradionem yalde paruam. 

 His igitur denominationibus introduflis habebimus : 



A- 



