a55 DE TRANSLAriO.ME 



hocquc ra(f^o fiet 



cof. A Z :=co(: A Z' + cor A Z fin. A 2\-of. A Z^ 



+cu(:AZco(.BZ'+co(.BZrm.AZriiiBZcorAZ^» 

 +co(.AZ.co(.CZ'+col.CZ(in.AZUu.CZco(.AZt', 



quac ob cof. AZ'-}-co(. BZ"H-co(.CZ'zz. i , , 



reducitur ad hanc forniam : 



oz^fin.AZ.cof.AZ.cor.AZ^+rin.BZcofBZcofAZ^ 



-V-(in.CZcof.CZ.cof.AZf , vel 

 fin.2AZcof.AZ^+fin.2BZcof AZ^+fin2CZcof.AZi--o. 

 Simili modo has obtincbimus aequationes: 



ozrin.2AZco(BZ«+nn.-BZcorBZ^+fin.2C2cof.BZi: 

 orfm.zAZccf.CZw+fin.^BZcof.CZZ^+fin.iCZcof.CZf. 



Tab.lII. 21. Si in fupirticie fphacrae, punda A, B, C 



Fig. II. quadrnntibus intcr (e diflcnt , pundumquc O fit id 

 ipfum , quod pofl conuerfionem (phacrac in eodem 

 reperiatur fitn , ac in fiatu initiali erat , turnquc 

 punjftum quodcunque fupcrficici fphacricae Z poft con- 

 \erfionem perueniffe (upponatur in z^ quacritur vt 

 diflantiae A s, B ;;r, C z pcr difiantias A O, B O, 

 C O ct angulum 2. O z exprimantur. Heic igitur 

 quum O idcm defignet puncflum, quod §. 1 1. per Z in- 

 dicauimu!-; facilitatis gratia, nunc ponamus AOzx, 

 BO— (3, CO = 7 et anijulum Z O z — <p ^ crit- 

 que vti §. 1 1 : 



cof A^ — cora^(i-cofC^)-Hcof Cp 



c()f.B^-c()f:p'(i-cof (j:)H-co(:C> 



cof. Ct- — co(. yXi- col. Cp)-|-rr((.Cp 

 co(.Ai^-cof aco(.p(i-co(.Cp) + cof.yfin.Cp 



cof. 



