Schott, Gaspar, Mechanica hydraulico-pneumatica. Pars I. Mechanicae Hydraulico-pnevmaticae Theoriam continet. , 1657

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            <p type="main">
              <s>
                <pb xlink:href="051/01/175.jpg" pagenum="144"/>
                <arrow.to.target n="fig37"/>
                <lb/>
                <emph type="italics"/>
              continuè ſit, ideo〈qué〉 aqua fluens guttulis ſuis errorem in­
                <lb/>
              ducere poteſt; meliùs eſt, ſi duæ ultimæ diviſiones ſeu
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              ſpatiola vaſis diviſi, notata numeris
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              1
                <emph type="italics"/>
              &
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              3,
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              non ve­
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              niant in numerum ſpatiolorum, & potiùs verſus prin­
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              cipium adjiciantur alia duo ſpatia; ſicque vas, de quo
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              in Corollario, non dividatur in
                <emph.end type="italics"/>
              12,
                <emph type="italics"/>
              ſed in
                <emph.end type="italics"/>
              14
                <emph type="italics"/>
              partes,
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              modo ibi dicto, dividendo totam ipſius altitudinem
                <lb/>
              in partes æquales
                <emph.end type="italics"/>
              196
                <emph type="italics"/>
              (qui numerus reſultat ex ductu
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              numeri
                <emph.end type="italics"/>
              14
                <emph type="italics"/>
              in ſeipſum) & addendo ſpatium
                <emph.end type="italics"/>
              13,
                <emph type="italics"/>
              &
                <emph.end type="italics"/>
                <lb/>
              14,
                <emph type="italics"/>
              quæ demptis duobus infimis efficiant duodecim
                <lb/>
              ſpatia.
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            </p>
            <figure id="id.051.01.175.1.jpg" xlink:href="051/01/175/1.jpg" number="63"/>
            <p type="main">
              <s>
                <emph type="center"/>
              PARERGVM CAPITIS TERTII.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              De inventione mediæ, ac tertiæ propor­
                <lb/>
              tionalis quantitatis, in numeris, &
                <lb/>
              lineis.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>EXdictis hoc Capite patet, quàm ſæpe neceſſa­
                <lb/>
              ria ſit inventio mediæ, ac tertiæ, quartæque
                <lb/>
              proportionalis quantitatis, ut ex nota aquæ men­
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              ſura, aut pondere, venire poſſimus in cognitio­
                <lb/>
              nem deſideratæ altitudinis tubi, aut vaſis; autè
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              contrario, ut ex nota tubi altitudine veniamus in
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              cognitionem menſuræ aut ponderis aquæ, &
                <lb/>
              quamcunque tuborum altitudinem, aquarumvè
                <lb/>
              copiam reperiamus facilè per quamcunque ra­
                <lb/>
              tionem ſubduplicatam, aut duplicatam, ſive nu­
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              meris exprimi poſſit, ſive non poſſit exprimi abs­
                <lb/>
              que ſurdis. </s>
              <s>Operæ ergo pretium duxi, Regu­
                <lb/>
              las breviſſimas aſſignare, vel ſaltem inſinuare,
                <lb/>
              prædictas quantitates inveniendi, mediam dico,
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              ac tertiam, quartamque proportionalem, tam
                <lb/>
              arithmeticè, quàm geometricè, libantes breviſ­
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              ſimè nonnulla ex ij, quæ fuſiùs dicemus in Arith­
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              metica, & in Geometria practica, ſeu in
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              Pantometro Kircheriano. </s>
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          </chap>
        </body>
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