DE LVNVLIS QVJDRJBILIEVS. 157 



§. 2. Sit igitur Ciinm BM deferipta ex Polo A, 

 pofita linea conibiiti B A ; fit praeterea ex eodcm Po- '^' '' 

 lo A alia Curua defcripta B N : quaeritnr , qualis , data 

 B M , debcat efle altera B N , vt fpatium interceptum 

 Lunarc BMN fit quadrabile. Ducantur in hunc finem 

 reda AM, et huic alia infinite propinqua A;//; centro 

 A , radiis A M , A N, intelhgantur dcfcripti arcus circu- 

 lares M E , N F, ex B demittantur pcrpcndicularcs in- 

 finite propinquae in AM et Aw, quac fint BC et Bc e£ 

 ponantur AB — ^, AMnr/, AN — .2,BC — «, erit er- 

 go ACrry(«2-«^:i, et ob fedores ANF, AME,. ; 

 AGt- fimiles, ct\ AGCVaa- uu): Gi(^ </a)~AM(? j: 

 ME(;,-(^!^,^):^AN(^):NF(:7(^T-)); hinc fe^or ^. ^ ^ 

 AM7,v=r-| AM X M E — 2^^^; feaor ANn ex 

 eadeni ratione rr jyf^rii:!] , qiiorum difFcrentia ■jif^-r^ 

 efl Elcmcntum portionrs Lunaris BMN. Affiimatur 

 lam Fundio ipfius //-, quae fit P, tahs, vt Vdu in- ' 

 fegrari po^it, ct ponAtur Elemcntum modo inuentum 

 :rzVdu^ erit areaBMN quadrabihs; fed fada diiufione 

 per du^ clicitur valor ipfius z — 'V{t-~i'?'Vaa -uu), 

 ergo dabitur z in meris 7/, confequentcr obtiaebituf 

 Ciu-ua BN, quae datam habeat conditionem. 



§. g. Sit Ciu na data B M Circulus A B E K , cuius 

 centrnm G •, afTumatur pundum quodcunque A pro Po- 

 lo: quaeritur, qiiaUs dcbeat effe Curua BN, vt fpa- 

 tium inrerceptum BN M fic quadrabile. Dacantur 

 Diarncter AGE, et demittautur perpendiculares BC, 

 BF, in AM et AE; erit ergo retentis denominati- 



V 3 ojiibus 



Fig. 



