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]

Page concordance

< >
Scan Original
40 28
41 29
42 30
43 31
44 32
45 33
46 34
47 35
48 36
49 37
50 38
51 39
52 40
53 41
54 42
55 43
56 44
57 45
58 46
59 47
60 48
61 49
62 50
63 51
64 52
65 53
66 54
67 55
68 56
69 57
< >
page |< < (155) of 445 > >|
    <echo version="1.0">
      <text type="book" xml:lang="la">
        <div xml:id="echoid-div7" type="body" level="1" n="1">
          <div xml:id="echoid-div340" type="chapter" level="2" n="3">
            <div xml:id="echoid-div363" type="section" level="3" n="12">
              <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"/>
            </div>
            <div xml:id="echoid-div366" type="section" level="3" n="13">
              <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
                  <lb/>
                cum antennam altiorem quàm cum depræſſiorem habet, id ad vectis ratio-
                  <lb/>
                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
                  <lb/>
                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>
              </p>
            </div>
            <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
                  <reg norm="voluendum" type="context">voluendũ</reg>
                ſint
                  <lb/>
                faciliora reliquis, quarum reuolutionum corporum tres ſpecies aſſignat,
                  <reg norm="quarum" type="context">quarũ</reg>
                vna
                  <lb/>
                eſt, vt rotarum
                  <reg norm="curruum" type="context">curruũ</reg>
                ; </s>
                <s xml:id="echoid-s1847" xml:space="preserve">altera vt rotarum puteorum, aut trochlearum, quibus hauri-
                  <lb/>
                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>
              </p>
              <p>
                <s xml:id="echoid-s1849" xml:space="preserve">Incipiens autem à prima dico dubium non eſſe, quin tangente corpore aliquo ro
                  <lb/>
                tundo aliquod planum mediante ſolo quodam puncto contingat, quemadmodum
                  <lb/>
                probat Theodoſius in .3. lib. primi & Vitellio in .71. lib. primi, &
                  <reg norm="ducendo" type="context">ducẽdo</reg>
                per
                  <reg norm="centrum" type="context">centrũ</reg>
                  <lb/>
                ſphæræ lineam vſque ad punctum contactus, ipſa erit perpendicularis plano contin-
                  <lb/>
                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
                  <lb/>
                hîc ſubſcripta
                  <var>.a.n.e.u.</var>
                contigua lineæ rectæ
                  <var>.b.d.</var>
                in puncto
                  <var>.a.</var>
                vnde
                  <var>.e.o.a.</var>
                perpendicu
                  <lb/>
                laris erit ipſi
                  <var>.b.d.</var>
                ex .17. lib. 3. Eucli. &
                  <reg norm="tantum" type="context">tantũ</reg>
                ponderis habebimus à parte
                  <var>.a.u.e.</var>
                quan
                  <lb/>
                tum ab ipſa
                  <var>.a.n.e</var>
                . </s>
                <s xml:id="echoid-s1852" xml:space="preserve">Nuncigitur ſi imaginabimur ductum eſſe centrum verſus
                  <var>.u.</var>
                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>
                  <lb/>
                  <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"/>
                  </figure>
                ducemus, quia huiuſmodi centrum ab inferiori
                  <lb/>
                parte ad ſuperiorem, nunquam mutabit ſitum
                  <lb/>
                reſpectu
                  <reg norm="diſtantiæ" type="context">diſtãtiæ</reg>
                ſeu interualli, quę inter ipſum
                  <lb/>
                lineamq́ue
                  <var>.a.d.</var>
                intercedit,
                  <reg norm="quod" type="simple">ꝙ</reg>
                quidem centrum
                  <lb/>
                in ſe colligittotum pondus figurę
                  <var>.a.n.e.u.</var>
                & be
                  <lb/>
                neficio lineæ
                  <var>.e.o.a.</var>
                illud ipſum puncto
                  <var>.a.</var>
                in li-
                  <lb/>
                nea
                  <var>.b.a.d.</var>
                committit, productum
                  <var>.a.</var>
                nil refert,
                  <lb/>
                vt magis, aut minus verſus ipſum
                  <var>.d.</var>
                aut verſus
                  <lb/>
                b.
                  <reg norm="dirigatur" type="simple">dirigat̃</reg>
                ; </s>
                <s xml:id="echoid-s1853" xml:space="preserve">ita vt
                  <reg norm="cum" type="context">cũ</reg>
                non oporteat vt huius figuræ
                  <lb/>
                  <reg norm="pondus" type="context">põdus</reg>
                , vna vice, magis eleuetur, quàm alia, ſed
                  <lb/>
                ſemper ęqualiter ſuper lineam
                  <var>.b.a.d.</var>
                quieſcat.</s>
              </p>
            </div>
          </div>
        </div>
      </text>
    </echo>
Impressum