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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            labentis, ſecundum Galileum aeſtimat 24 pedum in-
              <lb/>
            tra minutum ſecundum. </s>
            <s xml:id="echoid-s626" xml:space="preserve">Itaque per hanc hypothe-
              <lb/>
            ſin, aqua cuius celeritas eſt 24 ped. </s>
            <s xml:id="echoid-s627" xml:space="preserve">intra minutum ſe-
              <lb/>
            cundum impellens alam {1/2} p. </s>
            <s xml:id="echoid-s628" xml:space="preserve">□. </s>
            <s xml:id="echoid-s629" xml:space="preserve">aequiualet 210 libris.
              <lb/>
            </s>
            <s xml:id="echoid-s630" xml:space="preserve">Poſita autem celeritate fluminis aggere impediti 20
              <lb/>
            pedum, apparet, hanc habere prioris celeritatis {5/6}, cu-
              <lb/>
            ius quadratum eſt {25/36}, quod ex 210 libris dabit 145 li-
              <lb/>
            bras, quae imminent alae, cuius latus dimidio pedi
              <lb/>
            aequale exiſtit. </s>
            <s xml:id="echoid-s631" xml:space="preserve">itaque ſuper pede integro quadratum
              <lb/>
            pondus 580 lib. </s>
            <s xml:id="echoid-s632" xml:space="preserve">et ſuper ala 1 p. </s>
            <s xml:id="echoid-s633" xml:space="preserve">alta 4 p. </s>
            <s xml:id="echoid-s634" xml:space="preserve">longa iterum
              <lb/>
            quatuor tales columnae, nempe 2320 librae, conſiſtunt. </s>
            <s xml:id="echoid-s635" xml:space="preserve">
              <lb/>
            Haec eſt illa uis motrix, quae alicui alae rotae Marly-
              <lb/>
            enſis in medio flumine poſitae incumbit. </s>
            <s xml:id="echoid-s636" xml:space="preserve">Enimuero
              <lb/>
            non unam alam tantum pondus pellit, quia ſex alae ſi-
              <lb/>
            mulut plurimum feriuntur. </s>
            <s xml:id="echoid-s637" xml:space="preserve">Non omnes tamen recta
              <lb/>
            urget talis tantaque uirtus; </s>
            <s xml:id="echoid-s638" xml:space="preserve">ſoli radio uerticali oc-
              <lb/>
            currit, in obliquis minor eſt, quia uis creſcit uel decre-
              <lb/>
            ſcit pro ratione diſtantiae puncti applicationis ab hy-
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            pomochlio, (§. </s>
            <s xml:id="echoid-s639" xml:space="preserve">30. </s>
            <s xml:id="echoid-s640" xml:space="preserve">Inſtit. </s>
            <s xml:id="echoid-s641" xml:space="preserve">mechan.) </s>
            <s xml:id="echoid-s642" xml:space="preserve">quadrante igitur
              <lb/>
            rotae, cuius radius 18 p. </s>
            <s xml:id="echoid-s643" xml:space="preserve">in octo partes aequales diui-
              <lb/>
            ſo, radii ad puncta diuiſionis educti intercipient ſinguli
              <lb/>
            cum uicino angulum 11 gr. </s>
            <s xml:id="echoid-s644" xml:space="preserve">15. </s>
            <s xml:id="echoid-s645" xml:space="preserve">min. </s>
            <s xml:id="echoid-s646" xml:space="preserve">qualis eſt, quem com-
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            prehendit radius primus obliquus cum uerticali, ſe-
              <lb/>
            cundus cum eodem uerticali faciet angulum 22 gr. </s>
            <s xml:id="echoid-s647" xml:space="preserve">30
              <lb/>
            m. </s>
            <s xml:id="echoid-s648" xml:space="preserve">tertius cum uerticali angulum conſtituet 33 gr. </s>
            <s xml:id="echoid-s649" xml:space="preserve">45
              <lb/>
            quartus 45. </s>
            <s xml:id="echoid-s650" xml:space="preserve">quintus 56 gr. </s>
            <s xml:id="echoid-s651" xml:space="preserve">15 m. </s>
            <s xml:id="echoid-s652" xml:space="preserve">diſtantiae autem re-
              <lb/>
            ctae ab hypomochlio, ſiue a centro rotae, reſpondent
              <lb/>
            ſinibus complementi angulorum, quos modo comme-
              <lb/>
            moraui. </s>
            <s xml:id="echoid-s653" xml:space="preserve">ex quo apparet, in radiis obliquis quinque uir-
              <lb/>
            tutem 2320. </s>
            <s xml:id="echoid-s654" xml:space="preserve">libr. </s>
            <s xml:id="echoid-s655" xml:space="preserve">decreſcere pro ratione ſinuum com-
              <lb/>
            plementi laudatorum angulorum; </s>
            <s xml:id="echoid-s656" xml:space="preserve">dataque ratione ſi-
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            nus totius et ſinuum complementi, decrementa uirium
              <lb/>
            rationibus rite ſubductis innoteſcent. </s>
            <s xml:id="echoid-s657" xml:space="preserve">ſequens </s>
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