Cavalieri, Buonaventura
,
Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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LIBERI.
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s
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">REgula appellabitur in planis recta linea, cui quædam
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lineæ ducuntur æquidiſtantes, & </
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<
s
xml:id
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xml:space
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">in ſolidis, planum,
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cui quædam plana ducuntur æquidiſtantia, qualis in ſu-
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perioribus eſt recta linea, vel planum, cuius reſpectu fu-
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muntur vertices, vel oppoſita tangentia, cui vel vtraq; </
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alterum tangentium æquidiſtat.</
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<
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xml:space
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">_H_Aec minimè diſcrepant ab bis, quæ in Euclide, Archimede,
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& </
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">Apollonio, circa vertices, baſes, altitudines, & </
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">tangen-
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tia, ſiuelineas, ſine plana, aſſamuntur; </
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<
s
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xml:space
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">cum, licet vniuerſalius, idem,
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quod ipſi, declarent, vt ijs, qui in ſupra dictorum auctorum opert-
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bus verſati ſunt innoteſcet facilè, vnde ſine ſcrupulo aſſumemus
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aliquando ex dictis auctoribus, quæ ex conſimilibus difinitionibus
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pendent, illis commiſcentes, prout opus fuerit, quæ ex bis dedu-
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cuntur.</
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<
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xml:space
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">in eiuſdem ambitu
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ſumpto vt cumque puncto, ab eoque ad alteram eiuf-
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dem partium ducta quadam recta linea terminata, & </
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<
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planum propoſitæ figuræ eleuata, ſihæc per ambitum talis
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figuræ ſemper æquidiſtanter cuidam rectæ lineæ moueri
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intelligatur, donec omnem percurrerit ambitum, alterum
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eiuſdem extremum punctum, quod non fertur per ambi-
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tum propoſitæ figuræ, deſcribet circuitum planæ figuræ
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ipſi propoſitæ æquidiſtantis, vt probabitur. </
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go, quod compræhenditur vtriſq. </
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perficie linea quæ reuoluitur, deſcripta, dicetur: </
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dricus; </
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">ſuperficies in reuolutione deſcripta, nec non quod
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libet illius fruſtum, ſuperficies cylindracea. </
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<
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oppofitæ baſes dictæ figuræ planæ interſe æquidiſtantes;
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<
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cea oppoſitas baſes pertingens, cui congruit in </
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