Benedetti, Giovanni Battista de
,
Io. Baptistae Benedicti ... Diversarvm specvlationvm mathematicarum, et physicarum liber : quarum seriem sequens pagina indicabit ; [annotated and critiqued by Guidobaldo Del Monte]
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177
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DISPVTATIONES.
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189
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0189
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xlink:href
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0189
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quam
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ad
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& ex .27. maior erit proportio
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ad
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quam
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ad
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ideſt
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g
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ad
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quod Ariſtoteli in mentem non venerat. </
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xml:space
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ri poteſt, vt ſi diceret aliquis, maiorem proportionem eſſe
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ad
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quam
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ad
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<
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>z.c.</
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(quia
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ad
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eadem eſt ratio vt ad
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ex .7. quinti, ſed proportio
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ad
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z.c.</
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maior eſt quam
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ad
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ex .8. eiuſdem, ergo ea, quæ eſt
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ad
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ex .12. ma
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for erit, quam
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ad
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) vnde componendo, ea quæ eſt
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ad
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maior erit illa,
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quæ eſt
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ad
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&
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, quam ea, quæ eſt
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ad
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ea, quæ eſt
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ad
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& ex .33. quinti, ea, quæ eſt
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ad
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maior erit ea, quæ eſt
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ad
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>.i.c</
var
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.</
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<
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style
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xml:space
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xml:space
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xml:space
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">EX præcedenti capite manifeſtè depræhenditur, in vniuerſum Ariſtotelis opi-
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nionem veram non eſſe in prima parte vltimi capitis. lib. 7. phyſicorum; </
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xml:space
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in eo loco ſupponens ipſe corpus
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pręcedentis capitis eſſe dimidiam partem ipſius
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D. quantum ad aream corpoream ſpectat (ſunt tamen pondere ad inuicem æqualia)
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ait
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futurum duplo velocius ipſo
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. </
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>
<
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xml:space
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">Ego verò præcedenti capite accepi
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pro
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velocitate reſidua corporis
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(ſubtracta ea tamen parte, quam ei reſiſtentia adimit,
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quæ erat
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) et
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pro ea, quæ eſt corporis
<
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>.D.</
var
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et
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pro ea, quæ eſt corporis
<
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et
<
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s.g.</
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pro ea, quæ eſt corporis
<
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. </
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<
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xml:space
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">Dicat nunc Ariſtoteles, quę nam harum duarum pro
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portionum dupla erit? </
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xml:space
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">quia ſi earum aliqua talis erit, alia nullo modo eſſe poterit,
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vt iam oſtendi, etiamſi duo corpora
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et
<
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eaſdem conditiones habeant, quas
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et
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. </
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<
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xml:space
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">Ratio autem, quæ Ariſtotelem induxerit ad illud credendum, nulla alia eſſe
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potuit, quàm quod putarit reſiſtentias proportionatas eſſe magnitudinibus corpo-
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reis, ideſt quemadmodum
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erat corporaliter dimidia pars ipſius
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ſic etiam habe
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ret medietatem eius reſiſtentiæ, quam habuiſſet corpus
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. </
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non tamen ſequeretur neceſſariò in quibuſlibet corporibus futuram velocitatum
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proportionem eandem, quæ reſiſtentiarum eſt, vt ſuperiore capite oſtendimus.</
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">Numrestè ſenſerit Philoſophus reſistentias proportionales
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eße cum corporibus mobilibus.</
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<
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xml:space
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<
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xml:space
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">QVòd Ariſtoteles crediderit reſiſtentias proportionatas eſſe corporibus, erra-
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uit. </
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">Si ſuperficies ijſdem proportionatæ eſſent, dubium non eſt, quin
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reſiſtentiæ quoque ipſæ, ijſdem proportionatæ exiſterent, ſupponendo eas ſimiles
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ſitu, dum eadem corpora mouerentur. </
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