Cavalieri, Buonaventura
,
Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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GEOMETRIÆ
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ipſas incidentes, PH, NK, habetur ſimilium figurar um homo-
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logas pariter eſſe, vt incidentes earundem, & </
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<
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xml:space
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quæ ſunt earundem regulæ, quod in diffinitione aſſumitur contingere
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tantum ijs, quæ inter circuicum figurarum, & </
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<
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xml:space
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ordine ſumptæ, continentur.</
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<
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xml:space
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">COROLLARIVM II.</
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<
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xml:space
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<
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xml:space
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">huius, omnes ſimiles figuras planas poſſe
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eſſe alicuius cylindrici, vel fruſti conici, oppoſitas baſes; </
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<
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xml:space
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pro illis in Coroll. </
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<
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<
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ris planis etiam colligi poſſunt.</
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ſtremum, à primo autem, & </
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<
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">medio ducantur ad eandem par-
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tem duę inuicem parallelę ita ſe habentes, vt educta à primo ad edu-
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ctam à ſecundo, ſit veluti recta inter primum, & </
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ctum poſita, ad eam, quę inter medium, & </
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</
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<
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illius poſtremum, eruntin recta linea.</
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cumque tribus punctis, C, primo, B, medio,
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&</
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<
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ad eandem partem duę inuicem parallelę, quę
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ſint, CE, BD, ita ſe habentes, vt, CE, ad,
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BD, ſit, vt, CA, ad, AB. </
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A, D, E, eſſe in recta linea, ſi enim (iuncta,
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ED,) ipſa, ED, producta non tranſit per,
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A, tranſibit ſupra, vel infra, A, ſecans, CA,
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(nam, BD, eſt minor ipſa, CE, vt eſt, AB,
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minor, AC,) tranſeat, vt per, M, quia igi-
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tur, EDM, eſt recta erit, MCE, triangu-
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lus, in quo lateri, CE, ducitur parallela, B
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D, ergo trianguli, ECM, DBM, erunt æ-
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quianguli, & </
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mutando, CE, ad, BD, erit vt, CM, ad, MB, eſt autem vt, </
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