Cavalieri, Buonaventura
,
Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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GEOMETRIÆ
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S, ad quadratum, SM, ergo horum quatuor ordinum magnitudines
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erunt proportionales collectæ, iuxta quatuor iam dictas magnitudi-
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nes proportionales .</
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">omnes lineæ ipſius, RN, (ſumpta pro omni-
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bus communi regula, CE,) ad omnes lineas trilinei, FIAN, erunt
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vt omnia quadrata, FO, ad omnia quadrata trilinei, FMON, ra-
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tio autem, quam habent omnia quadrata, FO, ad omnia quadrata
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trilinei, FMON, iam notiſicata eſt lib.</
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poſit. </
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<
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omnium linearum, R
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N, ad omnes lineas
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trilinei, FIAN, & </
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ſubinde ratio paral-
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lelogrammi, RN, ad
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portionem, FIAN,
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nota erit, & </
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nota erit ratio trian-
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guli, FAN, quod eſt
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dimidium parallelo-
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grammi, RN, ad
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portionem, FIAN;
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demus parallelográ-
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mum, ZX, ad qua-
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drilineum, NACX,
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eſſe vt omnia qua-
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drata, RX, ad om-
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nia quadrata quadri-
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linei, ONXF, ratio autem, quam habent omnia quadrata, RX,
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ad omnia quadrata quadrilinei, ONXE, iam notiſicata eſt in ſupra-
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dicto Libro, Propoſit.</
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quadrilineum, ſiue portionem parabolæ, ANXC, nota erit, veluti
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& </
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nota erit, quod erat oſtendendum.</
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inſcriptas, ordmatimque ad parabolæ baſim applicatis incluſas,
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eſſe, bt omnia quadrata parallelogrammorum illis è regione reſponden-
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tium, quibuſq; </
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ctæ ad omnia quadrata dictarum ſemiportionum, regula communt axi,
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vel diametro, CE, exiftente. </
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N, eſſe, bt omnia quadrata, FO, ad omnia quadrata trilmet, FMON;</
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