Cavalieri, Buonaventura
,
Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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GEOMETRIÆ
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AM, BR, ad eam, quæ illi indirectum iacet in figura, CME, erit
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vt, BR, ad, RD, vel vt, AM, ad, ME, vt igitur, AM, ad, M
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E, vnum .</
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<
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<
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xml:space
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">antecedentium ad vnum conſequentium, ita erunt om-
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nia antecedentia, nempè omnes lineę figurę, CAM, regula, AM
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ad omnia conſequentia, ſcilicet
<
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ad omnes lineas figuræ, CME,
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regula, ME; </
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<
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<
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<
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merus omnium antecedentium,
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& </
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<
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xml:space
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">conſequentium, qui pro vtriſ-
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que hic idem eſt, quicunque ſit
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(& </
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<
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dem altitudine, & </
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<
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cedenti in figura, CAM, aſſumpto reſpondet ſuum conſequens illi
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in directum in alia figura conſtitutum) non obſtat quin omnes lineę
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figurę, CAM, ſint comparabiles omnibus lineis figurę, CME, cum
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note
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ad illas rationem habeant, vt probatum eſt, & </
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<
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guræ, CAM, regula, AM, ad omnes lineas figurę, CME, regu-
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la, ME, erunt vt, AM, ad, ME, verum, vt omnes lineæ figuræ,
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CAM, ad omnes lineas figurę, CME, ita fig. </
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">3. huius.</
note
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ram, CME, ergo figura, CAM, ad figuram, CME, erit vt, B
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R, ad, RD, vel, AM, ad, ME, quod in figuris planis oſtendere
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opus erat.</
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rectarum, AM, BR, ME, RD, plana intelligamus figuris, CA
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M, CME, intercepta inuicem parallela, & </
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AM, ME, iaceant in eodem plano, veluti ſe habeant etiam plana,
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BR, RD, reſpectu quorum præfata altitudo aſſumpta quoq; </
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ligatur, eadem methodo procedentes oſtendemus omnia plana figu-
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ræ, CAM, ad omnia plana figuræ, CME, ideſt figuram ſolidam,
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CAM, ad figuram ſolidam, CME, eſſe vt planum, BR, ad pla-
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num, RD, vel vt planum, AM, ad planum, ME, quod & </
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dis oſtendere opus erat.</
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paratæ ſint lineæ rectæ, vel plana, ſint autem illæ, quæ dicuntur
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omnes lineæ, vel omnia plana dictarum figurarum, de illis quoq; </
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cari, vt vnum antecedentium ad vnum conſequentium, ita eſſe omnia,
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antecedentia ad omnia conſequentia; </
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omnes lineas vnius ad omnes lineas alterius, vel in ſolidis omnia plana
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vnius ad omnia plana alterius, eſſe vt vnum antecedentium ad </
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