Benedetti, Giovanni Battista de, Io. Baptistae Benedicti ... Diversarvm specvlationvm mathematicarum, et physicarum liber : quarum seriem sequens pagina indicabit ; [annotated and critiqued by Guidobaldo Del Monte]

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            <div xml:id="echoid-div337" type="section" level="3" n="15">
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          <div xml:id="echoid-div340" type="chapter" level="2" n="3">
            <head xml:id="echoid-head194" xml:space="preserve">DE MECHANICIS.</head>
            <p style="it">
              <s xml:id="echoid-s1692" xml:space="preserve">
                <emph style="sc">SCripservnt</emph>
              multi multa, & quidem ſcitißimè, de mechn
                <unsure/>
              -
                <lb/>
              nicis, at cum natura
                <reg norm="vſusque" type="simple">vſusq;</reg>
              aliquid ſemper vel nouum, vel
                <lb/>
              Latens in apertum emittere ſoleant, nec ingenui aut grati ſit
                <lb/>
              animi, posteris inuidere, ſi quid ei contigerit comperuiße prius
                <lb/>
              tenebris inuolutum: </s>
              <s xml:id="echoid-s1693" xml:space="preserve">cum tam multa ipſe ex aliorum diligentia
                <lb/>
              ſit conſequut us. </s>
              <s xml:id="echoid-s1694" xml:space="preserve">Paucula
                <reg norm="quædam" type="context">quædã</reg>
              futùra, vt reor, non ingrata his
                <lb/>
              qui in biſce mechanicis verſantur, nuſquam ante bac tentata,
                <lb/>
              aut ſatis exastè explicata in medium proferre volui: </s>
              <s xml:id="echoid-s1695" xml:space="preserve">quo vel iuuandi deſiderium, vel
                <lb/>
              ſaltem non ocioſi ingenioli argumentum aliquod exbiberem: </s>
              <s xml:id="echoid-s1696" xml:space="preserve">at que vel boc vno modo me
                <lb/>
              inter bumanos vixiſſe testatum relinquerem.</s>
            </p>
            <div xml:id="echoid-div340" type="section" level="3" n="1">
              <head xml:id="echoid-head195" style="it" xml:space="preserve">De differentia ſitus brachiorum libra.</head>
              <head xml:id="echoid-head196" xml:space="preserve">CAP.I.</head>
              <p>
                <s xml:id="echoid-s1697" xml:space="preserve">
                  <emph style="sc">OMne</emph>
                pondus poſitum in extremitate alicuius brachij libræ maiorem, aut mi-
                  <lb/>
                  <anchor type="handwritten" xlink:label="hd-0153-01a" xlink:href="hd-0153-01"/>
                norem grauitatem habet, pro diuerſa ratione ſitus ipſius brachij. </s>
                <s xml:id="echoid-s1698" xml:space="preserve">ſit exe
                  <unsure/>
                mpli
                  <lb/>
                gratia
                  <var>.B.</var>
                centrum, aut, quod diuidit brachia alicuius libræ, &
                  <var>.A.B.Q.</var>
                vertica-
                  <lb/>
                lis linea, aut, vt rectius dicam, axis orizontis, &
                  <var>.B.C.</var>
                vnum brachium dictæ li-
                  <lb/>
                bræ, & in
                  <var>.C.</var>
                ſit pondus, &
                  <var>.C.O.</var>
                linea inclinationis, ſeuicineris
                  <unsure/>
                  <var>.C.</var>
                verſus cen-
                  <lb/>
                trum mundi, cum qua
                  <var>.B.C.</var>
                angulum rectum conſtituat in puncto
                  <var>.C</var>
                . </s>
                <s xml:id="echoid-s1699" xml:space="preserve">Exiſtente
                  <lb/>
                igitur in huiuſmodi ſitu brachio
                  <var>.B.C.</var>
                dico pondus
                  <var>.C.</var>
                grauius futurum, quam
                  <lb/>
                in alio quolibet ſitu. </s>
                <s xml:id="echoid-s1700" xml:space="preserve">quia ſupra centrum
                  <var>.B.</var>
                omninò non quieſcet, quemadmodum
                  <lb/>
                in quouis alio ſitu faceret. </s>
                <s xml:id="echoid-s1701" xml:space="preserve">Ad quod intelligendum, ſit dictum brachium, in ſitu
                  <var>.B.
                    <lb/>
                  F.</var>
                cum eodem pondere in puncto
                  <var>.F.</var>
                & linea itineris ſeu inclinationis dicti ponderis
                  <lb/>
                ſit
                  <var>.F.u.M.</var>
                per quam lineam dictum pondus progredi non poteſt, niſi brachium
                  <var>.B.F.</var>
                  <lb/>
                breuius redderetur. </s>
                <s xml:id="echoid-s1702" xml:space="preserve">Vnde clarum erit
                  <lb/>
                  <anchor type="figure" xlink:label="fig-0153-01a" xlink:href="fig-0153-01"/>
                quòd pondus
                  <var>.F.</var>
                aliquantulum ſupra cen
                  <lb/>
                trum
                  <var>.B.</var>
                mediante brachio
                  <var>.B.F.</var>
                nititur.
                  <lb/>
                </s>
                <s xml:id="echoid-s1703" xml:space="preserve">Eſt quidem verum, quòd pondus
                  <var>.C.</var>
                nec
                  <lb/>
                ipſum etiam per lineam
                  <var>.C.O.</var>
                proficiſce-
                  <lb/>
                tur, quia iter extremitatis brachij eſt cir-
                  <lb/>
                cularis, &
                  <var>.C.O.</var>
                in vno
                  <reg norm="quodam" type="context">quodã</reg>
                puncto eſt
                  <lb/>
                contingens. </s>
                <s xml:id="echoid-s1704" xml:space="preserve">Sit hociter
                  <var>.A.C.Q</var>
                . </s>
                <s xml:id="echoid-s1705" xml:space="preserve">Opor-
                  <lb/>
                tet nunc præſupponere pondus extremi-
                  <lb/>
                tatis brachij deberetanto magis
                  <reg norm="centro" type="context">cẽtro</reg>
                  <var>.B.</var>
                  <lb/>
                inniti, quanto magis linea ſuæ inclinatio-
                  <lb/>
                nis (ponamus
                  <var>.F.u.M.</var>
                ) propinqua erit di
                  <lb/>
                cto centro
                  <var>.B.</var>
                quod ſequenti cap. proba-
                  <lb/>
                bo, vt exempli gratia, ſit
                  <var>.F.</var>
                ſuper
                  <var>.u.</var>
                pun-
                  <lb/>
                ctum medij ex æquo inter
                  <var>.C.</var>
                et
                  <var>.B.</var>
                qua-
                  <lb/>
                propter
                  <var>.u.B.</var>
                æqualis erit
                  <var>.u.C.</var>
                vndeſe- </s>
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