C 5075 > 
Ittmlin, 34.SfC. M^omam ram DC ad Dz d^iplicdtaejf ranoni^ Dz 
Be, ernnt, inquit,(ira6, inquam, propterea non grunt; Ds, Dz, DC^ 
continue proportionales. 
Interim rue didla fua paucis conneftam;) Erit (inquit. lln. ii J My 
media propgmonalis inter DC & DJ^, rErgo DC, Dh, Dk, continue 
proportionales :) Item rlin. 3 inter DkS^-DzfnmMur media proporti^ 
malls, De^ CErgo Dz, De, Dk, continue proportionales ; & Dz ad 
Dkduplicatarationis Dz ad De OSed &(;lin. i^.)DC adDz eft Dn-' 
fllcatarationis Dz ad De\ Sunt ergo DC ad Dz,& Dz ad Dk, eadem 
- ratio; adeoq; D C, Dz, Dk, continue proporaionales.j Sed & erant 
(ut jamdiduai eft) DC^DbjDk, continue proportionales j Ergo Dh, 
I)z,inyicen[i scquaies : Cquarum illa, per conftruftionen^,ponitnr me* 
dia proportionalis ; haec, duarum raediarum major, inter eafdera DC, 
Dk :) Item Tproptec, turn De^ Dz, DC, contmue proportionales, 1. 34, 
turn Dk, DZj DC, continue proportionales per jam dida,^ ^quales 
erunt De & Dk (quarura ilia, per conftrudionem, & media propor- 
tionalis inter banc & hujus duplam.) Nempe, fi deraonftrationibus 
Hokhlams {{'XViixxm^it., 
Non mirura itaq;, quod, ad tec quo viam ^^mtm,Cpag,i^J.ijj In^ 
WiW^?;? pronunciaverittum Demonftrationem Archlmedls^ turn EHclidts 
Fropofitionem , 20.. E/. 6. ('Quadratorum ratiOoem duplicatam efle ra- 
tionis Laterura J-i?^/?,^^;^^^ inquit, mhdo. loyigimdlm Circp^mfev 
r£ntliZ Circnll invent a ah Hobbefio'^ fed etiam prop. 19. Kofeti, ^jm invents 
funt dnA medU proportionales inter rectam datam & ipfius dimidiam. Vides 
itaq, in quo ftatu funt ipfms turn ^Atij^^^m^r^ 0>r////, cum Dupllcatio 
C/^^i, ("cotiimq; iimul Rofetum ejus ;) & quanta iVage, opus eft, quo 
fibifternat viam. 
Necdum£nitum eft, fed probata adbuc opus eft, rquod & probata- 
.raraTe fufcipit, fiqua fides, probaffe,^ Dijferentiam Inter rectam^ ^ 
maxmarru mediarmn duarum^ inter Je dr ful femiffem ,^ diqualem ejfc - 
differentia inter Medlam inter duos extremas. & Allnlmam : Tnem- 
pe iL>yct=7q7 - f,) Sed forti huic opus eft ventriculo qui haec con. 
coquat : Meus certe ne devorare quidera potis eft, nedum concoqu^reJ, 
Fac tupericulum.Ad ea duo praefertim refpice, dnfpedo fuo Schema* 
te, quod non tantieftutrepetam,)/?^^. 27/25. SmtergoBl, ic^cB,, 
continue. proportionales ; Tnempe, Quia DB. Dc :: Bi. ic ; & Di, DE 1 - 
ic. cE. Ergo Bi, ic, cE 4r.^cum nc didum quidem fit, nedum der 
raonftratura, DB. DC/, &E)i, DE, proportionales efle.^ Et lin, 28. 
^mre recta DE:, dlvidit angnhm EDC hefariam \ C nempe quia, nonCru« 
ra DB, DC, fed a) lac quxdam reftse, AB, AE, funt in cadera ratione : 
cum bafis fegmentis BE, EC.jQuippe fi haee'duo ferre potes, ipes. eij^ 
Et Bovem tandem feras, qui Vitulum tuleris, 
; • Ubi haec peregerisi zit^%.^Q^im koflxxmm^Propofmones q^^^^ 
veneris ; infpefto iterum fuo Scbemate, refpice, num fpes fitdemon- 
ftrandi,'R.^r/-^2/ omnes a phncto N d^ctas^ & inter AT tranfemtej, in ea- 
iem.ratlone [eQarearcum BG, &- 1(7 finum ejus^ rectafque 'hmc parallel as 
ATyBq^^uD^({m fi.non defpondea?:^ interritus ad. coufpeftaoi ■ 
