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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                  <pb o="147" rhead="DE MECHAN." n="159" file="0159" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0159"/>
                lere verſus
                  <var>.u.</var>
                vnde linea eius inclinationis ſit ſemper
                  <var>.a.u.</var>
                ſupponamus etiam
                  <var>.a.o.b.</var>
                  <lb/>
                eſſe
                  <reg norm="libram" type="context">librã</reg>
                , aut ſtateram, aut vectem, &
                  <var>.o.</var>
                eius centrum, vnde vis, aut virtus ipſius
                  <var>.a.</var>
                  <lb/>
                proportionalis erit ipſi
                  <var>.o.t.</var>
                reſpectu virtutis, aut vis imaginatæ in
                  <var>.b.</var>
                inclinationis
                  <lb/>
                perpendicularis ipſi
                  <var>.b.a.</var>
                quæ quidem virtus, aut vis in
                  <var>.b.</var>
                proportionalis erit ipſi
                  <var>.b.
                    <lb/>
                  o.</var>
                ex tertio capite huius tractatus; </s>
                <s xml:id="echoid-s1759" xml:space="preserve">Si ergo fuiſſet poſita in
                  <var>.b.</var>
                virtus quædarn ad an-
                  <lb/>
                gulum rectum, trahens lineam
                  <var>.b.o.</var>
                tam proportionatam virtuti perpendiculari ip-
                  <lb/>
                ſius
                  <var>.a.</var>
                quam eſt
                  <var>.o.t.</var>
                proportionata ipſi
                  <var>.o.b.</var>
                ſtatera
                  <var>.b.o.a.</var>
                non moueretur, ſed quæuis
                  <lb/>
                portio maior in
                  <var>.b.</var>
                ſuperaret
                  <var>.a.</var>
                cum autem fuerit
                  <var>.o.x.</var>
                æqualis ipſi
                  <var>.o.b.</var>
                  <reg norm="idem" type="context">idẽ</reg>
                planè eue-
                  <lb/>
                  <figure xlink:label="fig-0159-01" xlink:href="fig-0159-01a" number="216">
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                  <figure xlink:label="fig-0159-02" xlink:href="fig-0159-02a" number="217">
                    <image file="0159-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0159-02"/>
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                niet, communi quadam ſcientia, ponen-
                  <lb/>
                do virtutem
                  <var>.b.</var>
                in
                  <var>.x</var>
                . </s>
                <s xml:id="echoid-s1760" xml:space="preserve">Quantitas ergo virtu
                  <lb/>
                tis in
                  <var>.x.</var>
                quæ ſuperare debet reſiſtentiam
                  <lb/>
                in
                  <var>.a.</var>
                quæ ipſi
                  <var>.u.</var>
                contraponitur, debet ha-
                  <lb/>
                bere aliquantulum maioris proportionis
                  <lb/>
                ad reſiſtentiam, quæ in
                  <var>.a.</var>
                angulum re-
                  <lb/>
                ctum efficeret cum
                  <var>.a.o.</var>
                ea, quæ eſt
                  <var>.o.t.</var>
                  <lb/>
                ad
                  <var>.o.x</var>
                .</s>
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