i^o S O L V T I O 



E(l vero quoqiie 

 coi.ABcor.CD-c()(:ADc<r.BC=fin.ACcor.ACB(rin.BCcof.CD+cor.BCrin.CD) 

 — fm ACfin,Bl)corAC.B.. 



Coroll. 



Ofu qiio B D aequalis quadranti circuli, ideo- 

 que cof B D — o et fin. B D r:: i , fiet 



xor.ACrrxorABlin.CD + coCADfin.BC 



fin.ACcof ACB— cof.ABcof.CD-corADcofBC 



5. His igitur praemonitis , nunc ipfam folu- 

 ;tionem Pxoblematis noftri adgrediamur et primum 

 <]uidem attentionem faciamus ad tres vltimas condi- 

 tiones , quibus praefcribitur , vt fit 



iI-{-mfn-{-nnzzi ^ ;XX+[jLjji.-}-yy— i et I'K+mp.-{-ni^~io, 



Tab I ^^ ^n^m jn fuperficie Sphaerica data fuerint punda 

 Fig. 4. A, B, D quadrante circuli inter fe diftarrtia , tum 

 vero vbicunque in eadem fuperficie bina alia afTuman- 

 tur punda i, H arcu 90" inter fe diftantia et iungan- 

 tur Al, BI, DI, A H, BH, D H, per Lemma 

 noftrum F"'" £t Lemmatis ll^' Coroll 2^""» iiabe- 

 Jbimus.: 



cof. A r + cof. B r+ cof D r =: I :; cof A tf -+- cof B H' 



+ corDH'z:ri; 



xonArcof.AH+coCBIcofBH+cofDIcofDH-o, 

 ex quo iam patet Jitteras 7, w, n commode reprae- 

 U ientari pofle per cofinus arcuum A I, B I, D I, at- 



.que X, fjL, V per cofinus arcuum A H, B H, D H. 

 ift yero jiunc indolem quantitatum /, /», w, X, p., i/ 

 :'■ taiem 



