Cavalieri, Buonaventura
,
Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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LIBER I.
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lela ipſi, HM, quæ ſit regula lateris cylindrici. </
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<
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tus huius cylindrici: </
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<
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xml:space
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lindrici, quod ſit, FE, veligitur du-
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cta ab, F, parallela ipſi, HM, ca-
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dit ſuper, FE, & </
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tus cylindrici, vel non, nempè ſi ca-
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deret, vt, FG, tunc quia, FE, eſt
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parallela ipſi, HM, & </
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<
s
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eſt ipſi, HM, parallela ſequitur, F
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E, ipſi, FG, eſſe parallelam, & </
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FE, FG, eductæ ab eodem pun-
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cto, F, In quo ſunt concurrentes,
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quod eſt abſurdum, igitur quæ du-
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citur à puncto, F, parallela ipſi, H
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M, cadet ſuper, FE, latus cylindri-
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ci, igitur erit latus huius cylindrici, quod erat oſtendendum.</
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puncto lateris cylindrici, quod per circuitum eiuſdem
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baſis non properat, eſt ſuperficies plana, & </
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ſcripti ambitus.</
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<
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cuius punctum extremum, M, quod non properat per ambitum ba-
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ſis, in reuolutione deſeribat circuitum, MANH.
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iacent iungentes duo quęuis puncta deſcripti am-
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bitus eſſe ſuperficiem planam, ęquidiſtantem baſi,
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CDEV, & </
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periri in tali plano. </
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vtcumq; </
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<
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CE, æquidiſtans planum, MBOF. </
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nia puncta deſcripti circuitus eſſe in hoc, plano: </
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enim non ſint, aliquod erit extra, ſit hoc pun-
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ctum, N, & </
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quod ſit, ND, ſecans circuitum figuræ planæ, B
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F, in, O, & </
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D, MV, quæ ſunt æquidiſtantes, cum fint cylindrici latera, </
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