Cavalieri, Buonaventura
,
Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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LIBER VI.
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definitè producta, continuentur à puncto, D, parallelogrammor@m re-
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ctangulorum, in eademq; </
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<
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</
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<
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">bifariam ſectis, ab effectis punctis educantur parallelogrammorum di-
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ctorum diametri, circa quas exiſtant aliæ planæ figuræ eius conditio-
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nis, vt ducta quacunq; </
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<
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<
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">AD, illius portiones in his figuris
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conceptæſint æquales, tum anuli deſoripti à dictis parallelogrammis
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ſe habebunt vt numeri impares ab vnitate deinceps expoſiti, tum etiã
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anuli geniti à prædictis figuris: </
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<
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">Etenim iſti anuli deinceps ſe habe-
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bunt, vt quedratum primæ æqualium rectarum linearum, in ipſa, D
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A, aſſumptarum, & </
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<
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">exceſſus quadratorum deinceps ſubſequentium
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æqualium linearum, vt facilè innoteſcet, ſi in memoriam reuocentur,
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quæ dicta ſunt in Coroll. </
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<
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<
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quibus hæc quoq; </
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">_M_Anifeſtum etiam eſt nos poſſe iuxta ſupradictam metbodum
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cætera ſolida attentare, vt e adem dato cylindro tum æqualia,
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tum etiam in data ratione inueniamus, veluti ex. </
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rem ſtr ictam, latam, ac med am, Malum Roſeum, Citrium, & </
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quæ in Sect. </
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">huius enumerantur, vt ſubinde cui-
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libet ex conſideratis in hoc volumine ſolidis inueniamus ex genere
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cuiuslibet nedum æquale, ſed etiam in data ratione, quæ omnia ſingil.
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</
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<
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">latim proſequi minimè volui, tum ad vitandam prolixitatem, tum
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etiam, vt alijs iucundi exercitij occaſionem non eripiam, veluti, & </
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centri grauitatis nouorum ſolidorum inuentionem, nemini, quod ſciã
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adhuc tentatam, alijs pro nunc relinquam, ſufficiat enim in præſenti
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prædicta ſolida inueniendi rationem aliqualiter declaraſſe, centriq; </
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grauitatis dictorum ſolidorum inueſtigandi materiam præbuiſſe.</
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">_A_Duertendum eſt autem circa ſupradicta ſolida, quorum menſurã
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præcisè non inuenimus, vt ex. </
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bus, tympanis, anulis, & </
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eſſe, vel fore præciſam, non tamen aſpernendam, cum proximè ad ve-
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ritatem accedat.</
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