Cavalieri, Buonaventura
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Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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GEOMETRIÆ
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xml:space
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in cylindrico, AE, producant parallelogramma, AE, ME. </
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<
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igitur, AE, eſt parallelogrammum, ſi in ipſo ducantur rectæ lineæ
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ipſi, AD, HE, parallelæ, & </
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ſdem, AD, HE, æquales, & </
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note
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regulælateris cylindrici, AE, vnde erit, AE, ſuperficies cylindra-
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cea deſcripta latere, AD, ſiue latere cylindrici, AE, ergo ſolidum,
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ARXE, erit cylindricus. </
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HDVE, MZHVIE, eſſe cylindricos, talibus igitur planis cy-
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lindricus, AE, ſemper diuiditur in cylindricos, quæ eſt prior pars
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huius Theorematis.</
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<
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dentibus cum omnibus ciuſdem lateribus, quæ in cylindrico, AE,
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producant figuras, BNGK, COFL. </
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xml:space
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ſum inter has figuras, & </
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cylindraceam, eſſe cylindricum. </
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na per latera cylindrici, AE, vtcumque ducta, A
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E, ME, quæ ſecent figuras, BNGK, COFL,
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in rectis, BG, CF, NG, OF, igitur eiuſdem pla
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ni, & </
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ctiones erunt parallelæ, quę ſint, BG, CF, ſicut
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etiam ipſæ, NG, OF, ſunt autem parallelę etiam
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ipſæ, BC, NO, GF, ergo, BF, NF, erunt pa-
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rallelogramma, & </
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NO, inter ſe æqualia, & </
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eorum quoduis, vt, GF, ſtatuatur pro regula lateris ylindrici, ſu-
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perficies incluſa duabus figuris, BNGK, COFL, erit deſcripta
<
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vno laterum, BC, vel, NO, properante per circuitum figuræ, C
<
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OFL, ſemper ipſi, GF, æquidiſtante, donec redeat vnde diſceſſit,
<
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igitur hæc erit ſuperſicies cylindracea, cuius oppoſitæ baſes ipſæ fi-
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guræ, BNGK, COFL, & </
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cus, quod erat poſterior pars huius Theorematis à nobis demon-
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note
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ſtranda.</
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<
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& </
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eas eſſe ſimiles, æquales, & </
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