Stevin, Simon, Mathematicorum hypomnematum... : T. 4: De Statica : cum appendice et additamentis, 1605

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        <div xml:id="echoid-div729" type="section" level="1" n="524">
          <pb o="193" file="527.01.193" n="193" rhead="DE C*HALINO THLIPSI.*"/>
        </div>
        <div xml:id="echoid-div730" type="section" level="1" n="525">
          <head xml:id="echoid-head558" xml:space="preserve">Quomodo ope {προ}πςραςιχ{οῦ} frenum uſuifiat
            <lb/>
          accommodatum.</head>
          <p>
            <s xml:id="echoid-s5272" xml:space="preserve">Freno {προ}πςραςιχ{\~ο} lupum, qualem equo idoneum judicabis, adaptato,
              <lb/>
            deinde ope ſcapi per cavum mobilis, reliquiſque partibus {προ}πςραςιχ{οῦ} mo-
              <lb/>
            bilibus, longitudo & </s>
            <s xml:id="echoid-s5273" xml:space="preserve">ſcapi, & </s>
            <s xml:id="echoid-s5274" xml:space="preserve">capitelli, & </s>
            <s xml:id="echoid-s5275" xml:space="preserve">angulus ſub rectis à punctis conta-
              <lb/>
            ctuum eductis comprehĕſus inſtituantur primò tanta, quemadmodum equo
              <lb/>
            commodiſſimum judicabis: </s>
            <s xml:id="echoid-s5276" xml:space="preserve">poſt autem cum indito ei freno edoctus eris ali-
              <lb/>
            quam harum quatuor partium, aut inſimul omnes mutatione opus habere, ut
              <lb/>
            vel ſcapi, vel capitella producenda ſint minuendave, vel angulus ſub lineis à
              <lb/>
            contactuum punctis eductis amplior arctiórve inſtituendus, vel pſellium au-
              <lb/>
            ctius contractiusve fabricandum. </s>
            <s xml:id="echoid-s5277" xml:space="preserve">iſta in ſingulis labore minimo nec fallenti-
              <lb/>
            bus indiciis novari poterunt. </s>
            <s xml:id="echoid-s5278" xml:space="preserve">ut neque frenum equo dematur, nec eques ab
              <lb/>
            equo deſcendat. </s>
            <s xml:id="echoid-s5279" xml:space="preserve">Cum igitur προπςραςιχὸν ita formaris prout equo erit com-
              <lb/>
            modiſſimum, ſimili partium præcipuarum poſitu & </s>
            <s xml:id="echoid-s5280" xml:space="preserve">reſponſu, hoc eſt, ut an-
              <lb/>
            gulus ſub rectis à tactuum punctis eductis comprehenſus, rectæq̀ue imagina-
              <lb/>
            riæ eum comprehendentes illis æquales ſint. </s>
            <s xml:id="echoid-s5281" xml:space="preserve">reliqua pro libitu adornentur
              <lb/>
            phaleræ enim ſcaporumq́ue inverſuræ cæteraq́; </s>
            <s xml:id="echoid-s5282" xml:space="preserve">varietatem nullam inducunt,
              <lb/>
            modo catellæ intermedię, pſellium, lupuſq́ue ſimiliter convenienti ſitu & </s>
            <s xml:id="echoid-s5283" xml:space="preserve">for-
              <lb/>
            ma confiant. </s>
            <s xml:id="echoid-s5284" xml:space="preserve">Frenum ita deformatum equo non minus congruum erit quam
              <lb/>
            προπδυςιχὸν fuerat, eodemq́ue plané malo equum coget
              <lb/>
            Ire viam quam docet eques ---
              <lb/>
            quod I*LLVSTRISSIMVS* P*RINCEPS* reapſe expertus comprobavit.</s>
            <s xml:id="echoid-s5285" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5286" xml:space="preserve">Nonnulli eorum, qui hancipſam artem libris editis tractarunt, frenos fa-
              <lb/>
            bricant in quos varii ſcapi inæqualium verſurarum inſeri poſsint. </s>
            <s xml:id="echoid-s5287" xml:space="preserve">ſed ſi illic an-
              <lb/>
            nelli contactus eodem maneat loco, majores minorésve inverſuræ ad rem ni-
              <lb/>
            hil afferent momenti, quemadmodum prima propoſitione docuimus. </s>
            <s xml:id="echoid-s5288" xml:space="preserve">vel ut
              <lb/>
            aliis verbis eandem ſententiam exponam, ſi annelli contactus alio ſit loco,
              <lb/>
            major minórve ſcapi inflexio non eſt cauſa effectus varietatis ejus, quam in
              <lb/>
            equi ductu ſentimus, qui inde exiſtit quod annelli contactus alio loco cõ ſiſtat
              <lb/>
            unde inveſtigatio iſtiuſmodi latentibus & </s>
            <s xml:id="echoid-s5289" xml:space="preserve">ignoratis cauſis incertiſsima eſt & </s>
            <s xml:id="echoid-s5290" xml:space="preserve">
              <lb/>
            obſcura, ut perquam rarò hac via freni idonei congruiq́ue confiant.</s>
            <s xml:id="echoid-s5291" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div731" type="section" level="1" n="526">
          <head xml:id="echoid-head559" xml:space="preserve">NOTA.</head>
          <p>
            <s xml:id="echoid-s5292" xml:space="preserve">Qui catholicum ſtatices theorema de machinarum effectionibus conſide.
              <lb/>
            </s>
            <s xml:id="echoid-s5293" xml:space="preserve">rabit, inde ita inferet. </s>
            <s xml:id="echoid-s5294" xml:space="preserve">quia pari manus ductu, etiamſi capitella ſint inæqualia,
              <lb/>
            par pſelliorum motus exiſtat, hinc quoq; </s>
            <s xml:id="echoid-s5295" xml:space="preserve">æqualem preſſus effectionem con-
              <lb/>
            ſequi. </s>
            <s xml:id="echoid-s5296" xml:space="preserve">exemplo res erit clarior. </s>
            <s xml:id="echoid-s5297" xml:space="preserve">ſi enim duo freni conſtruantur, quorum an-
              <lb/>
            guli ſub rectis à punctis contactuum eductis comprehenſi inter ſe æquentur,
              <lb/>
            pſelliaq́ue utrobique parem habeant laxitatem, ſcapiq́ue capitellis proportio-
              <lb/>
            nales quidem ſed inæquales ſint, in illis utrobique pſellium æquali manus du-
              <lb/>
            ctu tantundem commovebitur, unde par preſſus eſſicientia exiſtet. </s>
            <s xml:id="echoid-s5298" xml:space="preserve">quod po-
              <lb/>
            ſuo diagrammate illuſtiius erit.</s>
            <s xml:id="echoid-s5299" xml:space="preserve"/>
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