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

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            <pb xlink:href="051/01/178.jpg" pagenum="147"/>
            <p type="margin">
              <s>
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              Tubum me­
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              dium & ter­
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              tium propor­
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              tionalem in­
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              venire.</s>
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            <p type="main">
              <s>
                <emph type="center"/>
              Propoſitio V.
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              </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              Aliter invenire tertiam proportionalem.
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              </s>
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            <p type="main">
              <s>QUod fecimus in pręcedenti Propoſitione mediante circulo,
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                <arrow.to.target n="marg254"/>
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              fieri poteſt faciliùs absque circulo ſic. </s>
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            <p type="margin">
              <s>
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                <emph type="italics"/>
              Lineam ter­
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              tiam pro­
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              portionalem
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              aliter inve­
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              nire.
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              </s>
            </p>
            <figure id="id.051.01.178.1.jpg" xlink:href="051/01/178/1.jpg" number="65"/>
            <p type="main">
              <s>Duæ rectæ datæ, AB, & BE, con­
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              ſtituantur ad angulum rectum ABE,
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              ut dictum, & ducatur recta EA. </s>
              <s>Pro­
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              ductâ deinde AB, antecedente ſeu
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              primâ duarum datarum, ducatur ex E
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              ad AE perpendicularis EC, occur­
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              rensipſi AB productæ in C; eritque
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              BC tertia proportionalis. </s>
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            <p type="main">
              <s>Si eſſent propoſitæ duæ rectæ CB,
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              BE, deberent ipſæ coniungi ad angu­
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              lum rectum CBE, & ductâ rectâ CE,
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              productaque CB, deberet duci per­
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              pendicularis AE, ad rectam CE,
                <expan abbr="eſſetq́ue">eſſetque</expan>
              AB tertia quæſita. </s>
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            <p type="main">
              <s>
                <emph type="center"/>
              Annotatio.
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              </s>
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            <p type="main">
              <s>
                <emph type="italics"/>
              INventâ alterutro modorum tertiâ continuè proportionali, ſi primam
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              omiſeris, & alijs duabus tertiam inveneris; habebis quatuor leneas
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              continuè proportionales. </s>
              <s>Eodemque modo invenies quintam, ſextam,
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              ſeptimam, & quamcunque aliam.
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              </s>
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            <p type="main">
              <s>
                <emph type="center"/>
              Propoſitio VI.
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              </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              Adhuc aliter invenire tertiam proportionalem.
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              </s>
            </p>
            <p type="main">
              <s>SI difficile tibi videtur ducere tot perpendiculares ad inveni­
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              endam tertiam proportionalem, uti poteris modo præſcripto
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              ab Euclide lib. 6. Propoſit. 11. ſic: </s>
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            <p type="margin">
              <s>
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                <emph type="italics"/>
              Adhuc ali­
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              ter item pre­
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              ſtare.
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              </s>
            </p>
            <figure id="id.051.01.178.2.jpg" xlink:href="051/01/178/2.jpg" number="66"/>
            <p type="main">
              <s>Sint duæ rectæ AB, AE. </s>
              <s>
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                <expan abbr="Diſponãtur">Diſponantur</expan>
              eæita, ut efficiant
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              angulum A quemcunque,
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              producaturque AB quam vis
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              eſſe antecedentem ſeu
                <expan abbr="primã">primam</expan>
              ,
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              & capiatur BC æqualis ipſi
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              AE, quæ conſequens eſſe </s>
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