Cavalieri, Buonaventura
,
Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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LIBER IV.
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omnia quadrata, AH, ſunt dupla omnium quadratorum parabo-
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læ, FCH, & </
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torum parabolę, OCM, ideò omnia quadrata parabolę, FCH, ad
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omnia quadrata parabolę, OCM, erunt vt omnia quadrata; </
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<
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ad omnia quadrata, RM: </
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<
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quadrata, RM, habentrationem compoſitam ex ea, quam habet
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quadratum, FH, ad quadratum, OM, ideſt ex ea, quam habet,
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GC, ad, CI, & </
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<
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">ex ea, quam habet, HE, ad, NM, quiaillę cum
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baſibus, OM, FH, continent angulos ęquales, duę autem ratio-
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nes, ſcilicet, quam habet, GC, ad, CI, &</
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C, ad, CI, componuntrationem quadrati, GC, ad quadratum, C
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I, ergo omnia quadrata, AH, ad omnia quadrata, RM, vel om-
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nia quadrata parabolę, FCH, ad omnia quadrata parabolę, OC
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M, erunt vt quadratum, GC, ad quadratum, CI, quod oſtende-
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re opus erat.</
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omnia quadrata, PH, ad omnia quadrata fruſti, ABH
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M, eſſe vt, ON, ad compoſitam ex, NR, & </
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verò quadrata fruſti, ABHM, ad omnia quadrata triangu-
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li, RBH, eſie vt compoſitam ex, ON, dupla, NR, et @. </
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O, ad ipſam, NO.</
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paralleia ducatur, XT, ſecans curuam parabolę in, I, eſt ergo qua-
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dratum, OH, vel quadratum, TX, ad quadratum, XI, vt, ON,
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ad, NX, eſt autem parallelogram-
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mum, RH, in eadem bafi, & </
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tudine cum quadrilineo, ROHM,
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& </
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cunque, ductaque, XT, regulæ
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parallela, repertum eſt quadratum,
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TX, ad quadratum, XI, eſſe vt,
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ON, ad, NX, ergo horum quatuor ordinum magnitudines erunt
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26. 1. 2.</
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proportionales. </
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collectę iuxta primam. </
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">iuxta quadratum, TX, ad omnia quadrata
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quadrilinei, RMHO, magnitudines ſecundi ordinis collectas iuxta fe-
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cundã. </
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">iuxta quadratum, XI, erunt vt maximę abſciſlarum, OR,
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adiunctal, RN, ad omnes abiciſſas, OR, adiuncta, RN, quę </
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