vam a piindo G defcriptam efle MCG, et diido aicu 

 ciiculi maximi P G a centro circuli mobilis S H I ad 

 pundlum G, illiim occurrere peripheriae SHI in pundlo 

 H, tiimque initio rotationis pundnm H coincidiflc cum 

 puncflo T circuli immobilis TIB, quare erit arcus HI — 

 arcu T I. Porro fi ftatuamus pundum H peruenifle in 

 K , ita vt N K B aequetur femifli peripiieriae circuli 

 mobilis, erit N K B zr arc. TIB, vnde fiet 



arc. 1 B zn arc. N K B - H I := S H 1 - H I — arc. S H. 



Deinde fi Polo A circuli immobilis T I B, interuallo A G, 

 defcribatur circulus minor G L F E, qui occurrat arcubns 

 circulorum maximorum, polos circuli immobilis A et mo- 

 bilis P, O, iungentibus in pundis L, E, arcubus autem 

 circulorum minorum, polis P, D, intcruallis BG et F D, 

 exiflente F D :r: FG, defcriptis in G et F, tumque iun- 

 gantur AG, AF, DF arcubus circulorum maximorum, 

 erit ob PG = DF, AGr:AF, A Pz: AD, ang. APG = ADF 

 et GALrrFAE, hinc arc. GL:=arc FE, et GF=:LE. 

 Eft vero arcus L E: arc. I B rz fin. A G: fin. A B, ideoque 

 arc. GF: arc. I B rr fin. A G: fin. AB, hincque arc. G F: 

 arc S H — fui AG: fin. AB; atqui efl: arc. S H: arc. QG 

 — fin. PH: lin. P G, vnde, componendo rationes, arc. G F: 

 arc. Q G = fin. A G. fm. P H: fin. A B. (in. P G, haecque 

 proprieias inftar aequationis pro curua M C G inferuire 

 poteft. 



§. lo. Sit iam per puudum C curuae MCG, 

 puniflo G proximum, defcriptus, Polo A, circujps parallelus 

 gC/, qui occurrat circuhs QGU, RF/ in pundis g, /, 

 critque per proprietatem modo demonftratam arc. C/: 



arc. 



