Borelli, Giovanni Alfonso, De motionibus naturalibus a gravitate pendentibus, 1670

Page concordance

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              TV ſuſpenſa fuiſſent, pariterque conſtat vim exerce­
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              re in eorum centris grauitatum L, & Z, quæ propor­
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              tionaliter libras diuidunt, & ideò in maiori libra GH
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              penduli longitudo IL maior erit longitudine penduli
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              XZ, quare impetus deſcenſus libræ & eleuatio olei
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              EF maiori velocitate fiet, quàm flexio alterius libræ
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              cum oleo KY, ſcilicèt in ſubduplicata proportionę
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                <arrow.to.target n="marg661"/>
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              pendulorum; ſed quia hoc experientiæ repugnat, fa­
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              tendum eſt ab aliquo impedimento retardari
                <expan abbr="aſcensũ">aſcensum</expan>
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              olei EF, & profectò nedùm ratio habenda eſt ponde­
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              rum EF, FM, nec non KY, YO, quia hæc corpora in
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              libra appenſa moueri non poſſunt, quin etiam motu
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              tranſuerſali fluidum in fimum, ac ſupremum in fiſtulis
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              contentum impellant quoque motu tranſuerſali: igi­
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              tur videndum quoque eſt quibus velocitatibus a­
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              qua tranſuerſalitèr in vtroque ſiphone impulſa mo­
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              ueri debeat; & primo quia ſpatium tranſuerſale AD
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              ad ſpatium PS duplicatam proportionem habet eius
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              quam vis motiua
                <expan abbr="pẽduli">penduli</expan>
              IL ad vim motiuam pendu­
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              li XZ, ergo hoc nomine retardatur velocitas aſcenſus
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              fluidi EF: præterea tranſuerſalis fluxus aquæ in ſi­
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              phone impeditur, quia non poteſt oleum EF aſcen­
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              dere vſque ad 6, 7, niſi incumbens aqua E 7 ſurſum̨
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              expellatur, colloceturque in ſpatio 6 N, & hinc aqua
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              expulſa reponatur in loco AN, & hinc excluſa aqua
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                tuationem</expan>
              acquirat ND & hęc in N 8
                <expan abbr="trãsferatur">transferatur</expan>
              , itaut
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              omnes partes aquæ AND ſimul tempore motu ſucceſ
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              ſiuo amplitudinem vaſis excurrant: huiuſmodi verò
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              tranſitus fieri non poteſt abſque eo, quòd machinulæ </s>
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          </chap>
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