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Show 92 Cap. 5. De ccz‘de eiufq; pulfmoue - DE MOTV ANIMALIVM. 10. AL. BORELLI ficies , dnm. pulfat, non crcfcatfiamen tom cius fub_ flantia carnofil veré inflatui' , & augctur . 93 peripherix omnes ferici ABC ad pcriphcrias om- Cap. 3_ Dc ncsferiei DCF cidem proportioncm lubenc, qua conic gun],- ‘ His dcclaratis,pr.r1nitti dcbent lcmnuta aliqua vtimuf‘cuu lia ad intelligcndam mcchanlcam amoncm }‘llii£t101}:e periphreria GL ad periphxriam HM. Qljain fcric ABC duplum pcriphcrix CL media: arithmeticze multiplicarum in femiflbmmultirudinis XXXIX. terminorum €qude fcrici azquatur omnibus periP R 0 P O S. phcrijs Zome ABC {imul finnptis (Vt paflim arithme- In ferie continua arithmecicé proportionalium A, B, tici dcmonl'rranc ) paritérquc duplum pcriphcrix cordis . 1.: 46.30" CaDaE) quorum minnnus [it A. terminiminimo HM, multiplicatum in fcmiffcm terminorum ferici propiores decrcfcunt muiori proportionc , quém remoriorcs , fiiiicct B ad A ha- bcr maioré proportioncm 3 quam E ad D. Tab.16.Fig.5. DCF, xquacur omnibus pcriphcrijs loner: DCF , funtquc in vtraquc icric pares multitudines circulorum; Ergo thuplum GL totics fumptum, quot fimt paria terminorum fcrici ABC , ad duplum HM nequé multiplicatum in cadcm pmportione cit pcriphci‘izL, (bin in fcrie arithmeticé proportionalium ditfcré- GLad pcriphcriam HM , & proindé 9 Vt pcriphcria; tin: binorum quorumlibet terminorum proximonmi GI. ad pcriphcriam HM , ita funr omncs pcriphcriee Zonx ABC ad omncs pcriphcrias Zonae DCF. xquales funt inter {c3 ergo B , minus A , mquahsdt E, minus D: clique A , minonquam I) . Igitur B31?" nus A ad A, a maiorcm proportioncm lubebitaquar‘. mm m aEx pr. 2 lib.3. Elem. Eucl.Au€to ris. PROPOS. XLI. E, minus D ad D ,' (36 componendo B ad A, maio fit? rationcm habcbit ) quém E ad D. Et tic de rcliquisl PROPOS. Duac fPimles AMD 3 , 81 DOB , immediaté {c confequenteshabcntcandcm proportionem , quanp Circularcs peripherice GL 3 HP medix XL. arithmeticx inter circulos cx1).]‘3'0. 16. Fig.6. Si in codem circulo 7 AB fucrint dcfignatm dumZO' nrc concentricae ABC:& DCF, quzirum amplitud‘rL 1165 AD, & DE aequalcs fint ; 8c in cis dcfcribantuii dvae {cries cequé multorum circulorum eodcm ccfl‘ trcmos cuiuslibct {pi-- ralis . Qumbi" I"Pil‘iiliArchimredea duo motus per rcéhm tro K : arithmeticé proportionalium , quorum? ref- 1&Ci1'ca ccntrun} flint mquabilcs codcm tcinpo- dii arithmetici {int GL, &HM (diuifis nempe {pi M‘j Ergo velocxtarcs dchcxcntcs 1n continua.) tijs AD 9 8c DE bifariam in G, H . ) Dico, (1110" PmPOmOHC arithmetica , quibus puné‘tum A fertur pm PCT bDe {piraL defin. 2. In Archim. Aué‘t. |