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="154" rhead="IO. BAPT. BENED." n="166" file="0166" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0166"/>
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            <div xml:id="echoid-div363" type="section" level="3" n="12">
              <head xml:id="echoid-head216" style="it" xml:space="preserve">De uer a cauſa ſecundæ, & tertiæ quæstionis mechanicæ
                <lb/>
              ab Ariſtotele nonperſpecta.</head>
              <head xml:id="echoid-head217" xml:space="preserve">CAP. XII.</head>
              <p>
                <s xml:id="echoid-s1832" xml:space="preserve">ARiſtoteles in ſecunda quæſtionum mechanicarum quærens illius rationem ſic
                  <lb/>
                ſcribit.</s>
              </p>
              <p>
                <s xml:id="echoid-s1833" xml:space="preserve">Cur ſiquidem ſurſum fuerit ſpartum quando deorſum lato pondere quiſpiam id
                  <lb/>
                admouet rurſus aſcendit libra: </s>
                <s xml:id="echoid-s1834" xml:space="preserve">ſi autem deorſum conſtitutum fuerit non aſcendit,
                  <lb/>
                ſed manet? </s>
                <s xml:id="echoid-s1835" xml:space="preserve">an quia ſurſum quidem ſparto exiſtente plus libræ extra perpendiculum
                  <lb/>
                ſi (ſpartum enim eſt perpendiculum) quare neceſſe eſt deorſum ferriid, quod plus
                  <lb/>
                eſt, quare & cætera.</s>
              </p>
              <p>
                <s xml:id="echoid-s1836" xml:space="preserve">Sed vera cauſa, vnde fiat, vt ſi ſpartum fuerit ſurſum, & brachium vnum
                  <lb/>
                ipfius libræ deprimendo, & idem liberum deinde permittendo, ad ſitum ori-
                  <lb/>
                zontalem redeat, non ſolum eſt maior quantitas ponderis brachiorum quæ iam præ
                  <lb/>
                tergreſſa eſt vltra verticalem lineam, ſed etiam eſt longitudo brachij eleuati, quæ vl
                  <lb/>
                tra verticalem lineam reperitur, vnde eius extremi pondus redditur grauius in pro-
                  <lb/>
                portione, quam in hoc exemplo proponam, ſit
                  <var>.A.B.</var>
                libra in ſitu orizontali, cuius
                  <lb/>
                ſpartum ſit
                  <var>.E.</var>
                ſuper ipſam. </s>
                <s xml:id="echoid-s1837" xml:space="preserve">& deprimentes brachium ipſius
                  <var>.A.</var>
                vſque ad
                  <var>.F.</var>
                eius ſitus
                  <lb/>
                ſit in
                  <var>.F.H.</var>
                vnde medium
                  <reg norm="punctum" type="context">pũctum</reg>
                  <var>.G.</var>
                prætergreſſum erit lineam verticalem
                  <var>.V.Z.</var>
                ver
                  <lb/>
                ſus
                  <var>.B.</var>
                quæ
                  <var>.V.Z.</var>
                ſecabit brachium
                  <var>.F.G.</var>
                in puncto
                  <var>.D.</var>
                vnde
                  <var>.D.H.</var>
                longius erit ipſo
                  <var>.
                    <lb/>
                  F.D</var>
                . </s>
                <s xml:id="echoid-s1838" xml:space="preserve">Nunc nobis ſupponendum eſt id,
                  <lb/>
                quod veriſſimum exiſtit, dictam ſcilicet li
                  <lb/>
                  <figure xlink:label="fig-0166-01" xlink:href="fig-0166-01a" number="224">
                    <image file="0166-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0166-01"/>
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                bram in ſitu
                  <var>.F.H.</var>
                  <reg norm="etiam" type="context">etiã</reg>
                ſi ſuſtineatur à pun-
                  <lb/>
                cto
                  <var>.E.</var>
                idem tamen futurum ac ſi ſuſtenta-
                  <lb/>
                retur in puncto
                  <var>.D.</var>
                vnde ſequitur, quod
                  <lb/>
                pondus appenſum ex ipſa
                  <var>.H.</var>
                ita grauius
                  <lb/>
                reddatur, ipſo
                  <var>.F.</var>
                in eadem propor-
                  <lb/>
                tione, quæ maioreſt
                  <var>.D.H.</var>
                ipſo
                  <var>.D.F.</var>
                ob
                  <lb/>
                rationes quas in primis huius tractatus ca-
                  <lb/>
                pitibus poſui, vt etiam ſi
                  <var>.D.H.</var>
                quodmate
                  <lb/>
                riale eſſe ſupponitur, nullam planſe4; </s>
                <s xml:id="echoid-s1839" xml:space="preserve">graui-
                  <lb/>
                tatem haberet,
                  <reg norm="ſolustamem" type="context">ſolustamẽ</reg>
                exceſſus vis pon
                  <lb/>
                deris in
                  <var>.H.</var>
                poſiti, longè maior pondere in
                  <lb/>
                F. collocato pro maiorilongitudine ipſius
                  <lb/>
                  <var>D.H.</var>
                ſufficiat. ad præſtandum vt libra ad
                  <lb/>
                ſitum orizontalem redeat.</s>
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              <p>
                <s xml:id="echoid-s1840" xml:space="preserve">In ſecunda deinde huius quęſtionis par
                  <lb/>
                  <handwritten xlink:label="hd-0166-01" xlink:href="hd-0166-01a" number="13"/>
                te, in qua ſcribit libram in ſitu, in quo poſi
                  <lb/>
                ta eſt, firmam manere, toto cęlo aberrat, quia
                  <reg norm="neceſſarium" type="context">neceſſariũ</reg>
                eſt, vt omninò cadat, eò
                  <reg norm="uſque" type="simple">uſq;</reg>
                  <lb/>
                quò ſpartum ſurſum remaneat: </s>
                <s xml:id="echoid-s1841" xml:space="preserve">ablato tamen omni impedimento, quod nulla eget
                  <lb/>
                probatione, cum natura ſua clariſſimè pateat.</s>
              </p>
              <p>
                <s xml:id="echoid-s1842" xml:space="preserve">Cauſa, deinde, vera tertiæ quæſtionis non eſt ea, quam Ariſtoteles ponit, ſed hu-
                  <lb/>
                iuſmodi effectus ab eo, quod capitibus .4. et .5. huius tractatus propoſui originem
                  <lb/>
                habet.</s>
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