Weidler, Johann Friedrich, Jo. Friderici Weidleri Tractatus de machinis hydraulicis toto terrarum orbe maximis Marlyensi et Londinensi et aliis rarioribus similibus in quo mensurae prope ipsas machinas notatae describuntur, et de viribus earum luculenter disseritur

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            <s xml:id="echoid-s609" xml:space="preserve">
              <pb o="29" file="0039" n="39" rhead="DE MACHINA MARLYENSI."/>
            uniuerſum, tum ex obſeruationibus et experimentis,
              <lb/>
            inuenire ſtudet. </s>
            <s xml:id="echoid-s610" xml:space="preserve">Miſſis reliquis ad regulam duntaxat
              <lb/>
            quintam p. </s>
            <s xml:id="echoid-s611" xml:space="preserve">192. </s>
            <s xml:id="echoid-s612" xml:space="preserve">conuertor, quae ad praeſens omnino
              <lb/>
            ſpectat argumentum. </s>
            <s xml:id="echoid-s613" xml:space="preserve">Docet ibidem, quod iactus
              <lb/>
            aquae eadem uelocitate, ſed per diuerſa oſtia ſalientis,
              <lb/>
            impetu ſuo aequilibres ſint ponderibus, quae habent
              <lb/>
            rationem duplicatam diametrorum foraminum, per
              <lb/>
            quae aqua emittitur. </s>
            <s xml:id="echoid-s614" xml:space="preserve">Cum enim antea demonſtraſſet,
              <lb/>
            aquas pondus obuium lapſu mouere poſſe, et lapſum
              <lb/>
            tanto fortiorem eſſe, quanto maior eſt aquae irruentis
              <lb/>
            copia, exinde regula illa ſequebatur, quia ſi oſtia cir-
              <lb/>
            culi figura fuerint praedita, eadem ſeruant rationem
              <lb/>
            duplicatam ſemidiametrorum, et tum uelocitas uel-
              <lb/>
            uti altitudinem cylindrorum aqueorum definit, hac
              <lb/>
            eadem exiſtente, res redibat ad materiam, cuius in
              <lb/>
            ſimilibus corporibus eadem eſt quae baſium ratio, al-
              <lb/>
            titudine non mutata. </s>
            <s xml:id="echoid-s615" xml:space="preserve">(§. </s>
            <s xml:id="echoid-s616" xml:space="preserve">198. </s>
            <s xml:id="echoid-s617" xml:space="preserve">Geom.) </s>
            <s xml:id="echoid-s618" xml:space="preserve">Idemque expe-
              <lb/>
            rientia comprobauit. </s>
            <s xml:id="echoid-s619" xml:space="preserve">Nam ad axem uolubilem aptauit
              <lb/>
            alam aliquam, quae pondus adducebat, et ſuſpenſa ea-
              <lb/>
            dem intra aquam fluentem, cuius antea celeritatem
              <lb/>
            alio modo repererat, notauit eandem proportionem
              <lb/>
            ponderis et impetus, quae auxilio tubi, ex quo aqua
              <lb/>
            ſaliens obuium aliquod corpus impellit et ſuſtentat,
              <lb/>
            fuerat inuenta. </s>
            <s xml:id="echoid-s620" xml:space="preserve">Videlicet aqua celeritate 3 pedum in-
              <lb/>
            tra minutum ſecundum ruens, tantundem hoc motu
              <lb/>
            praeſtat, quantum alia, quae ex cylindro 12 pedes alto
              <lb/>
            delabitur. </s>
            <s xml:id="echoid-s621" xml:space="preserve">aequipollet autem impetus eiusdem, ſi alae
              <lb/>
            baſis fuerit quadrata, cuius latus dimidium pedem ca-
              <lb/>
            pit, 210 libris, multiplicata nempe baſi quadrata in al-
              <lb/>
            titudinem, quo facto producitur priſma trium pedum
              <lb/>
            cubicorum, et quoniam quilibet pes cubicus aquae ua-
              <lb/>
            let 70 libras vid. </s>
            <s xml:id="echoid-s622" xml:space="preserve">p. </s>
            <s xml:id="echoid-s623" xml:space="preserve">192. </s>
            <s xml:id="echoid-s624" xml:space="preserve">tres pedes dabunt 210 libras.
              <lb/>
            </s>
            <s xml:id="echoid-s625" xml:space="preserve">Celeritatem autem aquae per perpendiculum 12 </s>
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Impressum