Cavalieri, Buonaventura
,
Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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LIBER VII.
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ptis,, ergo ſunt figuræ proportionaliter analogæ, ergo dicti cy-
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lindrici erunt inter ſe, vt baſes, KLM, SQTR, quod erat demon-
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ſtrandum.</
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prædictis æqualibus, ſint inter ſe, vt ipſæ baſes, propterea erũt
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etiam inter ſe, vt ipſi conici, vnde ſi in vna ſpecie cylindricorum, & </
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conicorum oſtenſum fuerit, cylindricum triplum eſſe conici in eadem
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baſi, & </
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">altitudine cum eo exiſtentis, illicò hoc etiam de reliquis ſpe-
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crebus cylindricorum, & </
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ſi, & </
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& </
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">eadem altitudine cum ipſo. </
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0527-01
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eſſe conici, HIMNO.
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ſma, AFDE, triangu-
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lares habens baſes, A
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BC, FDE; </
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æqualis altitudini cy-
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lindrici, GO, in baſi
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verò, FDE, ſit pyra-
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mis, CDFE; </
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go priſma, ADEF,
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triplum pyramidis, C
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DEF, cum reſoluatur in tres pyramides æquales, FDBC, FDEC,
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FBAC, vt oſtendit Euclides Vnd. </
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habet priſma, ADEF, ad pyramidem, CDEF, ita ſe habet cylin-
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dricus, GO, ad conicum, HIMNO, ergo, GO, triplus eſt conici, H
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MO, vnde omnis cylindricus triplus eſt conici in eadem baſi, & </
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titudine cum eo conſtituti, illi enim conici, qui ſunt in eadem ba-
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ſi, & </
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dendum erat.</
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