Cavalieri, Buonaventura
,
Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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CAVALERII</
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style
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">In quo quæcumque in antecedentibus Libris me-
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thodo indiuiſibilium demonſtrata fuere,
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alia ratione, ab eadem independen-
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te, breuiter oſtenduntur.</
head
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<
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xml:space
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">_G_EOMETRIAE, in ſex prioribus Libris
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per eam, quam indiuiſibilium methodum
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non incongruè appellamus, bactenus pro-
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motę, talis fuit, qualis bucuſq; </
s
>
<
s
xml:id
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xml:space
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preserve
">videri po-
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tuit, ſtructura, necnon talia, qualia iacta
<
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ſunt fundamenta. </
s
>
<
s
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xml:space
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">Illa quidem adeò firma,
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atq; </
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>
<
s
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xml:space
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">inconcuſſa, eſſe decuit, vt velut ada-
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mantina ſummorum ingeniorum tamquam
<
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arietum ictrbus pulfata ne minimum quidẽ
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nutantia agnoſcerentur: </
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>
<
s
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xml:space
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">Hoc enim Mathematicarum dignitati, ac
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ſummæ certitudini, quam præ omnibus alijs humanis ſcientijs, nemi-
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ne philoſopborum reclamante, ipſæ ſibi vindicarunt, maximè conue-
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nire manifeſtum eſt. </
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<
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">An id ego ſufficienter præſtiterim a iorum iudi-
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cio relinquam; </
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<
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xml:space
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">vnicuique enim hæc perlegenti ex animi ſui ſenten-
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tia iudicare licebit. </
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<
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">Haud quidem me latet circa continui compoſi-
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tionem, necnon circa inſinitum, plurma à philoſophis diſputari, quæ
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meis principijs obeſſe non paucis ſortaſſe videbuntur, propterea nem-
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pè hæſitantes i quod omnium linearum, ſeu omnium planorum, con-
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ceptus cimerijs veluti obſeurior tenebris inapprehenſibilis videatur:
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</
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<
s
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xml:space
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">Vel quod in continui ex indiuiſibilibus compoſitionem mea ſententia
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prolabatur: </
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>
<
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xml:space
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">Vel tandem quod vnum infinitum alio maius dari poſſe
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pro ſirmiſſimo Geometriæ ſternere auſerimfundamento, circa quæ mil-
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libus, quæ paſſim in ſcholis circumferuntur argumeutis, ne </
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