Ceva, Giovanni, Geometria motus, 1692

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              28.
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              huius.
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              Corollarium.
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                <emph.end type="center"/>
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              Cum ex eadem pr.
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              28.
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              huius, eadem ſpatia ſint vt quadra­
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              ta temporum, erunt ipſa tempera in ratione ſubduplicatą
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              elongationum.
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              PROP. XXXXI THEOR. XXXIV.
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              <s id="s.000816">SI funiculis æqualem craſſitiem habentibus fuerint ſuſ­
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              penſa inæqualia pondera, ſpatia, quæ acceleratis mo­
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              tibus, ac temporibus geneſum ſimplicium recurruntur ne­
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              ctentur ex ratione duplicata elongationum, & ex duabus
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              reciprocè ſumptis rationibus, nempe longitudinum prima­
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              rum funiculorum, antequam pondera ſuſpenderentur; &
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              ipſorum ponderum. </s>
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              Tab.
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              8.
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              Fig.
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              6.</s>
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              <s id="s.000818">In antecedenti figura illud primum ſatis patet, quòd ſi
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              loco ponderis F ſuſpenſum fuiſſet pondus aliud grauius,
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              aut leuius, prior velocitas in aſcenſu fili, ſeu funiculi, aut
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              chordæ aucta, vel imminuta fuiſſet pro magnitudine pon­
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              deris ſubſtituti; quamobrem priores velocitates ex inæqua
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              litate ponderum eidem chordæ ſuſpenſorum dependentes
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              forent, vt ipſa pondera; verùm cum ſuppoſitis funiculis
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              æqualia pondera ſuſpenſa veniunt, primæ velocitates ſunt
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              vt longitudines funiculorum, ergo velocitates primæ, cum
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              inæqualia ſunt pondera, quæ ſubtrahuntur, nectentur ex
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              ratione longitudinum funiculorum, & ex ea ponderum
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              inæqualium: quæcumque igitur ſit tractio DF, geneſes ha­
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              bebimus ſimilium ſimpliciumque motuum, vnam, cuius al­
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              titudo CE, & alteram habentem altitudinem DF, & ſunt
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              earundem geneſum amplitudines, ſeu primæ velocitates
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              in ratione compoſita funiculorum AC ad BD, & ponderis
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              pendentis ex E ad pondus ſuſpenſum in F; ergo ſpatia ac­
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              celeratis motibus tranſacta temporibus geneſum
                <expan abbr="ſimpliciũ">ſimplicium</expan>
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