Musschenbroek, Petrus van, Physicae experimentales, et geometricae de magnete, tuborum capillarium vitreorumque speculorum attractione, magnitudine terrae, cohaerentia corporum firmorum dissertationes: ut et ephemerides meteorologicae ultraiectinae

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              <pb o="424" file="0438" n="438" rhead="PRÆFATIO."/>
            ant: </s>
            <s xml:id="echoid-s9437" xml:space="preserve">Ideo inter Mechanicos Proverbium eſt natum, quæ in parvo
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            ſuccedunt, non eundem ſemper ſucceſſum in magno ſortiri: </s>
            <s xml:id="echoid-s9438" xml:space="preserve">Eſt hoc
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            aliquando verum, non tamen toties ac narratur; </s>
            <s xml:id="echoid-s9439" xml:space="preserve">infortunatus enim
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            majorum Machinarum eventus ab ignorantia Legum, tam motus,
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            quam firmitatis pendet: </s>
            <s xml:id="echoid-s9440" xml:space="preserve">Quippe ſi vires Cohærentiæ omnium cor-
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            porum bene exploratæ habeantur, a priori ſemper determinari poſ-
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            ſet craſſities requiſita partium Machinam conſtituentium deter-
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            minatæ longitudinis, & </s>
            <s xml:id="echoid-s9441" xml:space="preserve">ex quapræparandæ ſint partes materia, ut vi-
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            ribus motricibus datis excipiendis vel excitandis ſufficiant abſque ru-
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            pturæ periculo; </s>
            <s xml:id="echoid-s9442" xml:space="preserve">nempe ſecundum aliquam in Experimentis dete-
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            ctam proportionem, craſſitiem & </s>
            <s xml:id="echoid-s9443" xml:space="preserve">firmitatem earum conficiendo,
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            & </s>
            <s xml:id="echoid-s9444" xml:space="preserve">tum ſemper in magno ſuccedent, quæ in parvo prototypo era-
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            mus meditati: </s>
            <s xml:id="echoid-s9445" xml:space="preserve">Craſſitiem poſſe â priori unicuique parti Machinæ
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            aſſignare eſt idcirco magnus in Mechanica progreſſus: </s>
            <s xml:id="echoid-s9446" xml:space="preserve">& </s>
            <s xml:id="echoid-s9447" xml:space="preserve">fortunatum
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            eventum cujuslibet Machinæ grandis poſſe prædicere, eſt aliquid
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            egregium magnique momenti. </s>
            <s xml:id="echoid-s9448" xml:space="preserve">Eſt quoque utilitas hujus ſcientiæ
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            ingens in Architectura civili, ut præſcribamus craſſitiem, & </s>
            <s xml:id="echoid-s9449" xml:space="preserve">ex
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            illa firmitatem trabium aliorumque ſuſtentaculorum, quæ ad ex-
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            ſtruendas Ædes, Januarum poſtas, Tabulationes, & </s>
            <s xml:id="echoid-s9450" xml:space="preserve">Contignatio-
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            nes, quæ magnis oneribus gerendis ſunt deſtinatæ, deſiderantur:
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            </s>
            <s xml:id="echoid-s9451" xml:space="preserve">nam ex inſtitutis quibuſdam experimentis in anteceſſum determina-
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            bimus, an Tabulatio data oneri dato ferendo par ſit: </s>
            <s xml:id="echoid-s9452" xml:space="preserve">quantæ craſ-
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            ſitiei poſtæ Januarum, quibus magna pars faciei ædificii incumbit,
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            fieri debeant, ut totum pondus impoſitorum lapidum ſuſtineant: </s>
            <s xml:id="echoid-s9453" xml:space="preserve">hoc
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            modo firmitatis Scientia noſtræ incolumitati proſpicit, liberatque
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            a periculo ruinæ inſtantis, aut ab inutilibus impenſis, quas multo
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            craſſiores Trabes, poſtæ, pali, fulcra, quam deſiderantur, ſecum
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            traherent. </s>
            <s xml:id="echoid-s9454" xml:space="preserve">Hydraulica ſuum quoque uſum ex hac doctrinâ capit,
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            ut â priori definiamus craſſitiem parietum canales formantium, per
              <lb/>
            quos Fluidum ad Fontem ſalientem componendum cum data velo-
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            citate fluet, aut quos gravitate ſua extrorſum premendo extendet: </s>
            <s xml:id="echoid-s9455" xml:space="preserve">
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            Verum ſuâ ſponte clarius eluceſcit hujus doctrinæ utilitas, ſeſeque
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            ſua præſtantia magis commendat, quam ut ipſi hederâ noſtrâ opus
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            ſit: </s>
            <s xml:id="echoid-s9456" xml:space="preserve">Agnoſcunt id præſtantiſſimi Mathematici, qui hoc Thema ſuis
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            lucubrationibus digniſſimum judicarunt, idque ſubtiliter enucleare
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            anniſi fuerunt: </s>
            <s xml:id="echoid-s9457" xml:space="preserve">Hos ordine memoraſſe, ut progreſſus Scientiæ </s>
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