que hnec piinifla proic(fla re<flis ex loco fpe^ntoris O educ- 

 tis O F, O M, O N- Diida inm cliorda A f ob -triangu- 

 la FAO ct A/O (imilia crit FO : AO — A O : /O. vn- 

 de fit FO./Oi:AO=. Simili modo efl MO.w/OrAO'. 

 ideoqiic F O ./O = M O . w O, fiuc FO : MO 1; /wO :/0, 

 conlcqucntcr tri:ingula OMF ct Ofm funt fimilia, ac 

 proindc M F : ;;//— O F : O ;;;. Eddeni modo quoque 

 ent M N : w ;; — O N ■• O ;;;, vride coinbinando conciudi- 

 tur fore 



MF:MNz=ffj/:«z« — OF:ON. ^ 



Latera igitur acque ac areae triangulorum F M N et 

 fmn funt in raiione dillantiarum a puncflo O, ct omncs 

 iigurae minimae in fphaeca hac proieclione .per fimilcs 

 figuras repraefent^i«tur. 



.§. 6. Deindc omnes circuli minorcs in fuperficie 

 (phaerae defcripti ctiam in pKind proie(flionis pcr circulos 

 repraelentantur, Sit .enim efgh circulus quicunquc in Tab. V. 

 ilihiicra, et coucipi^tur conus vcrticcni ftuuii ,iji loco ..ocjuii '°' '^ 

 O habeus, qui hunc circulum compledatur , .e;,us,quc b,ai]s 

 in plano proieclionis K.FGH.itidem crit circu'iii>. Cum 

 cnim FO./O — AO' ct QO.gOzz\0\ eiit F():GO 

 r:.5 0:/0. C >ni igitur FOG ct gOf lunt fimiles, 

 quia fedioncs efgh ct EFGH antipardllclnc vcl Inbcon- 

 trariae, ideoquc (i vna circulus , ctiam altcra circolus.fic 

 ntccffe cl\. Ceternm cx analogia modo inucnta dci.uicitur 

 diamctcr prcicdionis FGzi. "''--'^. 



$. 7. Dummodo igitur co9nitac fierint pofiiio ct n- V' rl:'T 

 d:us circuli miaoria in fphacra, diamctcr circuli pioicdi in ie •<■ •^'^ 



Y 3 (a.il- 



