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-div340" type="chapter" level="2" n="3">
            <div xml:id="echoid-div358" type="section" level="3" n="10">
              <pb o="153" rhead="DE MECHAN." n="165" file="0165" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0165"/>
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              <head xml:id="echoid-head214" style="it" xml:space="preserve">Quod Aristo. in prima mechanicarum quæstionum eius quod
                <lb/>
              inquir it, uer am cauſam non attulerit.</head>
              <head xml:id="echoid-head215" xml:space="preserve">CAP. XI.</head>
              <p>
                <s xml:id="echoid-s1823" xml:space="preserve">QVærens Ariſtoteles vnde fiat, vt eæ libræ, quæ brachia habent alijs longiora,
                  <lb/>
                ſint exactiores cæteris, ait hoc euenire ratione maioris velocitatis extremo
                  <lb/>
                rum earundem. </s>
                <s xml:id="echoid-s1824" xml:space="preserve">Quod verum non eſt; </s>
                <s xml:id="echoid-s1825" xml:space="preserve">quia hîc effectus nil aliud eſt, quam clarius pro
                  <lb/>
                ponere ob omnium oculos obliquitatem brachiorum à linea orizontali, & oſtende-
                  <lb/>
                re etiam facilius à dicto orizontali ſitu exire brachia iam dicta. </s>
                <s xml:id="echoid-s1826" xml:space="preserve">Quæ quidem per ſe
                  <lb/>
                neque à velocitate, neque à tarditate motus, ſed à ratione vectis, & à ma-
                  <lb/>
                iori interuallo inter ſecundum ſitum extremorum à primo proficiſcuntur. </s>
                <s xml:id="echoid-s1827" xml:space="preserve">Vt exem-
                  <lb/>
                pli gratia, imaginemur magnam libram
                  <var>.A.B.</var>
                orizontalem, cuius centrum ſit
                  <var>.E.</var>
                et
                  <lb/>
                pondus
                  <var>.B.</var>
                maius ſit pondere ipſius
                  <var>.A.</var>
                vnde conceditur, quòd ob hanc rationem di-
                  <lb/>
                cta libra ſitum mutabit, qui ſecundus ſitus ſit in
                  <var>.H.F</var>
                . </s>
                <s xml:id="echoid-s1828" xml:space="preserve">Imaginemur etiam
                  <reg norm="paruam" type="context">paruã</reg>
                  <reg norm="quan- dam" type="context">quã-
                    <lb/>
                  dam</reg>
                libram
                  <var>.a.e.b.</var>
                orizontalem, quæ pondera habeat
                  <var>.a.</var>
                et
                  <var>.b.</var>
                æqualia duobus ponde
                  <lb/>
                ribus alterius libræ & ſecundus ſitus ſit in
                  <var>.h.f.</var>
                ita tamen vt anguli circa
                  <var>.e.</var>
                æquales
                  <lb/>
                ſint ijs, qui ſunt circa
                  <var>.E.</var>
                ideſt
                  <var>.b.e.f.</var>
                ſit ęqualis
                  <var>.B.E.F</var>
                . </s>
                <s xml:id="echoid-s1829" xml:space="preserve">Nunc dico ſitum
                  <var>.H.F.</var>
                  <reg norm="exa- ctiorem" type="context">exa-
                    <lb/>
                  ctiorẽ</reg>
                futurum & clariorem ſitu
                  <var>.h.e.f.</var>
                ratione interualli
                  <var>.B.F.</var>
                maioris, interuallo
                  <var>.
                    <lb/>
                  b.f.</var>
                quod
                  <var>.B.F.</var>
                in eadem proportione maior eſt ipſo
                  <var>.b.f.</var>
                in qua
                  <var>.B.E.</var>
                maius eſt
                  <var>.b.e.</var>
                  <lb/>
                quod autem interuallum
                  <var>.B.F.</var>
                breuiori, aut longiori temporis ſpacio quam
                  <var>.b.f.</var>
                ſit fa
                  <lb/>
                ctum, nil planè refert. </s>
                <s xml:id="echoid-s1830" xml:space="preserve">Ratione vectis deinde, dico
                  <reg norm="quod" type="simple">ꝙ</reg>
                ſi ſupponemus duas libras pa-
                  <lb/>
                res
                  <reg norm="æqualesque" type="simple">æqualesq́;</reg>
                in omni alio reſpectu, præter quàm in brachiorum longitudine, pon-
                  <lb/>
                dus
                  <var>.B.</var>
                maiorem vim habebit ad deprimendum brachium
                  <var>.E.B.</var>
                quàm pondus
                  <var>.b.</var>
                quia
                  <lb/>
                libræ materiales, cum ſuſtineantur ab
                  <var>.E.e.</var>
                & non à puncto mathematico, ſed
                  <lb/>
                à linea, aut ſuperficie naturali in materia exiſtente. </s>
                <s xml:id="echoid-s1831" xml:space="preserve">vnde aliqua reſiſtentia ipſi mo-
                  <lb/>
                tui brachiorum oritur, & hanc ob cauſam, ſupponendo hanc reſiſtentiam æqualem
                  <lb/>
                tam in
                  <var>.E.</var>
                quàm in
                  <var>.e.</var>
                clarum erit ob ea, quæ in cap .4. huius tractatus oſtendi
                  <var>.B.</var>
                cum
                  <lb/>
                minus dependeat ab
                  <var>.E.</var>
                aut minus quoque eidem
                  <var>.E.</var>
                annitatur, ponderoſum magis
                  <lb/>
                futurum, quam
                  <var>.b.</var>
                & hac de cauſa mouebit ad partem inferiorem, maiori cum agilita
                  <lb/>
                te, brachium
                  <var>.E.B.</var>
                multo magis etiam illud ipſum deprimet, ideſt maiorem etiam an
                  <lb/>
                gulum
                  <var>.B.E.F.</var>
                quàm erit angulus
                  <var>.b.e.f.</var>
                faciet.</s>
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                <image file="0165-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0165-01"/>
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