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

Table of Notes

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              <pb o="31" file="0041" n="41" rhead="DE MACHINA MARLYENSI."/>
            exhibet rationem ſinus totius et ſinuum complementi,
              <lb/>
            cum debita quantitate uirium radiis obliquis immi-
              <lb/>
            nentium.</s>
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          anguli \\ radior rotae # Sin. tor. # S. compl. # Impetus aquae
            <lb/>
          0 # 0 # 0 # 2320 librar.
            <lb/>
          0 1
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          11. 15. # 1000 # 980 # 2273
            <lb/>
          22. 30. # 1000 # 923 # 2141
            <lb/>
          33. 45. # 1000 # 831 # 1928
            <lb/>
          45. 0. # 1000 # 707 # 1640
            <lb/>
          56. 15. # 1000 # 555 # 1287
            <lb/>
          </note>
          <p>
            <s xml:id="echoid-s659" xml:space="preserve">His uiribus in ſummam collectis, prodeunt 11592 librae,
              <lb/>
            quae in peripheria rotae applicatae eandem onere ſuo
              <lb/>
            propellunt. </s>
            <s xml:id="echoid-s660" xml:space="preserve">Quoniam autem rotae axi inſertum eſt
              <lb/>
            manubrium curuatum, quo libramenta embolos uel
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            catenas trahentia agitantur, cuius longitudinem ſupra
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            §. </s>
            <s xml:id="echoid-s661" xml:space="preserve">13 indicauimus trium pedum, uelpotius 2 {1/2}, ſpiſſitu-
              <lb/>
            dine metalli utrique extremo demta, reſtat, ut quanta
              <lb/>
            uis in manubriis occurrat, definiamus. </s>
            <s xml:id="echoid-s662" xml:space="preserve">Notum hic
              <lb/>
            aſſumo ex mechanicae diſciplinae elementis, in axe
              <lb/>
            cum peritrochio rationem’ uirium in peripheria adhi-
              <lb/>
            bitarum, ad pondus ſuper axe motum, reciproce eſſe
              <lb/>
            talem, qualis inter ſemidiametrum axis et ſemidiame-
              <lb/>
            trum rotae intercedit, (§. </s>
            <s xml:id="echoid-s663" xml:space="preserve">38. </s>
            <s xml:id="echoid-s664" xml:space="preserve">Inſtit. </s>
            <s xml:id="echoid-s665" xml:space="preserve">Mechan.) </s>
            <s xml:id="echoid-s666" xml:space="preserve">eſt enim
              <lb/>
            in rotis Marlyenſibus manubrium, quod onus ducit, lo-
              <lb/>
            co medii axis, quamobrem uti longitudo manubrii ha-
              <lb/>
            bet ſe ad ſemidiametrum rotae, ita uis huius periphe-
              <lb/>
            riae inſidens, ad pondus mouendum aequilibre, et quia
              <lb/>
            non ſolum in extremo radii uerum in aliis quinque
              <lb/>
            obliquis uis a pondere et impetu aquarum oriunda </s>
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