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]

Table of figures

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[161] Compositorum
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[162] Simpricium
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[Figure 163]
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[Figure 164]
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[Figure 165]
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[Figure 166]
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[Figure 167]
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[Figure 168]
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[Figure 169]
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[Figure 170]
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[Figure 171]
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[Figure 172]
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[Figure 173]
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[Figure 174]
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[Figure 175]
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[Figure 176]
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[Figure 177]
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[Figure 178]
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[Figure 179]
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[180] SVPERFICIALIS.
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[181] CORPOREA.
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[182] SVPERFICIALIS.
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[183] SVPERFICIALIS.
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[184] CORPOREA.
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[185] SVPERFICIALIS.
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[186] CORPOREA.
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[187] SVPERFICIALIS.
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[188] CORPOREA.
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[189] SVPERFICIALIS.
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[Figure 190]
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              <pb o="155" rhead="DE MECHAN." n="167" file="0167" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0167"/>
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              <head xml:id="echoid-head218" style="it" xml:space="preserve">Quòd Ariſtotelisratio in 6. quæſtione poſit a non ſit admittenda.</head>
              <head xml:id="echoid-head219" xml:space="preserve">CAP. XIII.</head>
              <p>
                <s xml:id="echoid-s1843" xml:space="preserve">VOlens Ariſtoteles rationem proponere, vnde fiat, vt nauis velocius moueatur
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                cum antennam altiorem quàm cum depræſſiorem habet, id ad vectis ratio-
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                nem refert, quod verum
                  <reg norm="non" type="context">nõ</reg>
                eſt. </s>
                <s xml:id="echoid-s1844" xml:space="preserve">Huiuſmodi enim ratione nauis tardius potius, quàm
                  <lb/>
                velocius ferri deberet, quia quantò altius eſt velum, vi venti impulſum,
                  <reg norm="tantò" type="context">tãtò</reg>
                magis
                  <lb/>
                proram ipſius nauis in aquam demergit. </s>
                <s xml:id="echoid-s1845" xml:space="preserve">Sed huiuſmodi effectus à maiori potius
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                quantitate venti quam recipit, quàm ab alia aliqua cauſa oritur, quia ventus liberius
                  <lb/>
                  <reg norm="vehementiusque" type="simple">vehementiusq́;</reg>
                in altiore parte, quàm in depræſſione vagatur & perflat.</s>
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            <div xml:id="echoid-div367" type="section" level="3" n="14">
              <head xml:id="echoid-head220" style="it" xml:space="preserve">Quòdrationes ab Ariſtotele de octaua quæstione confictæ
                <lb/>
              ſufficient es non ſint.</head>
              <head xml:id="echoid-head221" xml:space="preserve">CAP. XIIII.</head>
              <p>
                <s xml:id="echoid-s1846" xml:space="preserve">RAtiones etiam ab Ariſtotele propoſitæ pro indaganda octauæ quæſtionis ve-
                  <lb/>
                ritate, in qua quærit vnde fiat, vt corpora rotundæ figuræ, ad
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                ſint
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                faciliora reliquis, quarum reuolutionum corporum tres ſpecies aſſignat,
                  <reg norm="quarum" type="context">quarũ</reg>
                vna
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                eſt, vt rotarum
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                ; </s>
                <s xml:id="echoid-s1847" xml:space="preserve">altera vt rotarum puteorum, aut trochlearum, quibus hauri-
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                tur aqua; </s>
                <s xml:id="echoid-s1848" xml:space="preserve">& tertia, vt paruorum vaſorum a figulis fabricatorum,
                  <reg norm="ſufficientes" type="context">ſufficiẽtes</reg>
                  <reg norm="non" type="context">nõ</reg>
                ſunt.</s>
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                <s xml:id="echoid-s1849" xml:space="preserve">Incipiens autem à prima dico dubium non eſſe, quin tangente corpore aliquo ro
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                tundo aliquod planum mediante ſolo quodam puncto contingat, quemadmodum
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                probat Theodoſius in .3. lib. primi & Vitellio in .71. lib. primi, &
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                per
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                ſphæræ lineam vſque ad punctum contactus, ipſa erit perpendicularis plano contin-
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                genti ſphęram dictam, vt probat
                  <reg norm="idem" type="context">idẽ</reg>
                Thęodoſius in .4. lib. primi
                  <reg norm="Alhazem" type="context">Alhazẽ</reg>
                in .25. quar-
                  <lb/>
                ti, & Vitellio in .7. primi. </s>
                <s xml:id="echoid-s1850" xml:space="preserve">Verum etiam eſt omnem inclinationem ponderoſam huiuſ
                  <lb/>
                modi corporis homogęnei totam hanc lineam æqualiter omni ex parte circundare;
                  <lb/>
                </s>
                <s xml:id="echoid-s1851" xml:space="preserve">cuius quidem rei exemplum in carta deſcribere poſſumus mediante figura circulari
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                hîc ſubſcripta
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                contigua lineæ rectæ
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                in puncto
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                vnde
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                perpendicu
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                laris erit ipſi
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                ex .17. lib. 3. Eucli. &
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                ponderis habebimus à parte
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                quan
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                tum ab ipſa
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                <s xml:id="echoid-s1852" xml:space="preserve">Nuncigitur ſi imaginabimur ductum eſſe centrum verſus
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                per
                  <lb/>
                lineam
                  <var>.o.u.</var>
                parallelam ipſi
                  <var>.a.d.</var>
                clarum nobis
                  <lb/>
                erit,
                  <reg norm="quod" type="simple">ꝙ</reg>
                  <reg norm="abſque" type="simple">abſq;</reg>
                vlla difficultate aut reſiſtentia
                  <reg norm="idem" type="context">idẽ</reg>
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                  <figure xlink:label="fig-0167-01" xlink:href="fig-0167-01a" number="225">
                    <image file="0167-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0167-01"/>
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                ducemus, quia huiuſmodi centrum ab inferiori
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                parte ad ſuperiorem, nunquam mutabit ſitum
                  <lb/>
                reſpectu
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                ſeu interualli, quę inter ipſum
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                lineamq́ue
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                intercedit,
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                quidem centrum
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                in ſe colligittotum pondus figurę
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                & be
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                neficio lineæ
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                illud ipſum puncto
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                in li-
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                nea
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                committit, productum
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                nil refert,
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                vt magis, aut minus verſus ipſum
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                aut verſus
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                b.
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                <s xml:id="echoid-s1853" xml:space="preserve">ita vt
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                , vna vice, magis eleuetur, quàm alia, ſed
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                ſemper ęqualiter ſuper lineam
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                quieſcat.</s>
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