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-s673" xml:space="preserve">
              <pb o="33" file="0043" n="43" rhead="DE MACHINA MARLYENSI."/>
            poſitum problem a fo luendi manifeſtat. </s>
            <s xml:id="echoid-s674" xml:space="preserve">Proferam ipſa
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            eiusdem uerba, quae huc pertinent. </s>
            <s xml:id="echoid-s675" xml:space="preserve">poſtquam enim
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            de magnitudine rotae et alarum, et manubrii, nec non
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            de celeritate aquarum, et numero alarum, quas impel-
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            lunt, dixiſſet, ita tandem concludit p. </s>
            <s xml:id="echoid-s676" xml:space="preserve">158. </s>
            <s xml:id="echoid-s677" xml:space="preserve">La hauteur
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            de l’eau couvroit la moitie du rayon perpendiculaire, et les
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            6 aubes continuellement frapées dans ce cas, mais frapées
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            obacune en particulier, ſelon la diverſité de leurs angles,
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            imprimoient toutes enſemble à l’ extremité de la manivelle
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            la force de 81467 liv. </s>
            <s xml:id="echoid-s678" xml:space="preserve">trente ſept ſoixantiemes. </s>
            <s xml:id="echoid-s679" xml:space="preserve">Pour faire
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            cette regle, il faut d’ abord calculer les 4 pieds quarrés d’
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            aubes, par la viteſſe de 20 pieds par ſeconde, comme ſi’ils
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            en etoient frapés perpendiculairement, puis imaginant un
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            rayon horizontal, on dira, comme le rayon elevé ſur le rayon
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            horizontal, ainſi la ſomme dont les quatre pieds d’aubes ſont
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            frapez ſuivant leurs degrez d’elevation. </s>
            <s xml:id="echoid-s680" xml:space="preserve">et pour ſavoir la for
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            ce, avec laquelle ce poids fait agir la manivelle, il faudra
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            faire cette proportion reciproque, comme la longeur de la
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            manivelle eſt à la partie du rayon compriſe entre le centre
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            de la roue, et le centre de la palette touchée par l’eau, ainſi
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            la force dont les 4 pieds d’aubes ſont frapez ſuivant leurs
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            ſinus, eſt a la force, qui eſt imprimée a l’ extremité de la
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            manivelle, faiſant ces deux analogies pour toutes les 6 aubes
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            ſeparement, et additionant ces differentes ſommes, on aura
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            la valeur de 81467 tren ſept ſoixantiemes. </s>
            <s xml:id="echoid-s681" xml:space="preserve">Vndetantum
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            inter ſe differant rationes nondum mihi patet. </s>
            <s xml:id="echoid-s682" xml:space="preserve">meas
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            enim diligenter iterum excuſſi, et eas rite ſe habere
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            deprehendi. </s>
            <s xml:id="echoid-s683" xml:space="preserve">Poteſt tamen in proportionibus manu-
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            brii ad radium et ſinus complementi laudatos diſcri-
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            men deliteſcere; </s>
            <s xml:id="echoid-s684" xml:space="preserve">ſiquidem prolixus eſt ille calculus,
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            ubi leuis differentia ſub initium admiſſa, et per plures
              <lb/>
            numeros continuata maiorem diſſenſum parere non
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            difficulter poteſt. </s>
            <s xml:id="echoid-s685" xml:space="preserve">Forſitan etiam in primo </s>
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