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 contents

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[41.] DEFINITIO XII.
Page: 132 (11)
[42.] SCHOLION I.
Page: 132 (11)
[43.] SCHOLION II.
Page: 133 (12)
[44.] SCHOLION III.
Page: 133 (12)
[45.] DEFINITIO XIII.
Page: 133 (12)
[46.] CONSECTARIVM.
Page: 134 (13)
[47.] SCHOLION I.
Page: 134 (13)
[48.] SCHOLION II.
Page: 134 (13)
[49.] DEFINITIO XIV.
Page: 135 (14)
[50.] SCHOLION I.
Page: 135 (14)
[51.] SCHOLION II.
Page: 135 (14)
[52.] SCHOLION III.
Page: 136 (15)
[53.] SCHOLION IV.
Page: 136 (15)
[54.] DEFINITIO XV.
Page: 139 (18)
[55.] CONSECTARIVM.
Page: 140 (19)
[56.] DEFINITIO XVI.
Page: 140 (19)
[57.] CONSECTARIVM.
Page: 141 (20)
[58.] SCHOLION.
Page: 141 (20)
[59.] DEFINITIO XVII.
Page: 141 (20)
[60.] SCHOLION I.
Page: 142 (21)
[61.] SCHOLION II.
Page: 142 (21)
[62.] SCHOLION III.
Page: 142 (21)
[63.] SCHOLION IV.
Page: 143 (22)
[64.] SCHOLION V.
Page: 145 (24)
[65.] THEOREMA.
Page: 145 (24)
[66.] CONSECTARIVM.
Page: 146 (25)
[67.] PROBLEMA I.
Page: 146 (25)
[68.] EXEMPLVM
Page: 146 (25)
[69.] PROBLEMA II.
Page: 147 (26)
[70.] EXEMPLVM I.
Page: 149 (28)
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            <s xml:id="echoid-s709" xml:space="preserve">
              <pb o="35" file="0045" n="45" rhead="DE MACHINA MARLYENSI."/>
            poſt alas parumper ſtagnantes, et noua ui propellen-
              <lb/>
            das, iterum iuuauerit illuſtrare iudicio conſenſuque in-
              <lb/>
            dagatoris huius argumenti ſolertiſſimi, Mariottii, qui
              <lb/>
            diu regis ſtipendiis eum ipſum in finem gauiſus eſt, ut
              <lb/>
            fluidorum motus obſeruationibus ſuis manifeſtius cer-
              <lb/>
            tiusque demonſtraret, quemadmodum ipſius in expe-
              <lb/>
            rimentis capiendis olim ſocius ingenioſiſſimus P. </s>
            <s xml:id="echoid-s710" xml:space="preserve">
              <emph style="sc">Se</emph>
            -
              <lb/>
              <emph style="sc">BASTIANVS</emph>
              <emph style="sc">Trvchetvs</emph>
            , mihi ſaepius confirma-
              <lb/>
            uit. </s>
            <s xml:id="echoid-s711" xml:space="preserve">Explicaturus igitur Mariotius molarum ſupra ſe-
              <lb/>
            quanae flumine funibus ad ripas utrimque extenſis af-
              <lb/>
            fixarum nec non machinae hydraulicae, quae Samari-
              <lb/>
            tana uocatur, conditionem, docet, dimidium uirium
              <lb/>
            ob affrictum partium et ob aquas ſtagnantes interire.
              <lb/>
            </s>
            <s xml:id="echoid-s712" xml:space="preserve">Ita enim ſcribit Tr. </s>
            <s xml:id="echoid-s713" xml:space="preserve">laudato Part. </s>
            <s xml:id="echoid-s714" xml:space="preserve">2. </s>
            <s xml:id="echoid-s715" xml:space="preserve">p. </s>
            <s xml:id="echoid-s716" xml:space="preserve">197. </s>
            <s xml:id="echoid-s717" xml:space="preserve">Les rouës
              <lb/>
            des moulins, qui ſont ſur la ſeine a Paris, entre le pont neuf
              <lb/>
            et le pont au change, n’ont à leurs extremités que la moi-
              <lb/>
            tié de la viteſſe de l’eau courante qui les choque, ce qui re-
              <lb/>
            vient à là même choſe, que lorsqu’ un poids en mouvement en
              <lb/>
            rencontre un autre immobile de même peſanteur, et qu’il ſ’y
              <lb/>
            attache, car etant joints enſemble, ils n’ont incontinent apr es
              <lb/>
            le choc, que la moitié de la viteſſe de celui qui a choqué, et
              <lb/>
            ainſi on peut ſuppoſer, que la reſiſtance du frotement de l’eſſi-
              <lb/>
            eu de la rouë, de celui de la meule, et du grain qu’elle briſe,
              <lb/>
            joint au poids de la rouë et de ſes pallettes, vaut autant à peu
              <lb/>
            prés que la reſiſtance@d’ un poids egal à celuy de l’ eau qui
              <lb/>
            choque, et par conſequent elles doivent retarder de moitie à
              <lb/>
            peu pres la viteſſe de l’eau qui les choque; </s>
            <s xml:id="echoid-s718" xml:space="preserve">on remarqne la
              <lb/>
            même proportion dans la rouë de la pompe de la Samaritaine. </s>
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              <lb/>
            Quod ſpeciatim attinet ad affrictum, qui in machina
              <lb/>
            Marlyenſi multiplex admodum in axibus rotarum cru-
              <lb/>
            cium, libramentorum, catenarum, et qui praecipue at-
              <lb/>
            tendi meretur, antliarum, occurrit, de eo quoque hic
              <lb/>
            nonnihil latius agere operae pretium uidetur. </s>
            <s xml:id="echoid-s720" xml:space="preserve">Eſt </s>
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