DelMonte, Guidubaldo, In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata

Table of figures

< >
< >
page |< < of 207 > >|
    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <p id="N1562B" type="main">
              <s id="N159D8">
                <pb xlink:href="077/01/154.jpg" pagenum="150"/>
                <arrow.to.target n="marg265"/>
              ergo & reliqua
                <foreign lang="grc">σν</foreign>
              ad reliquam
                <foreign lang="grc">τ<10></foreign>
              eſt, ut tota BD ad
                <expan abbr="totã">totam</expan>
              OR.
                <lb/>
              rurſuſquè permutando
                <foreign lang="grc">σν</foreign>
              ad BD ut
                <foreign lang="grc">τ<10></foreign>
              ad OR,
                <expan abbr="conuertendoq́">conuertendo〈que〉</expan>
              ;
                <lb/>
              BD ad
                <foreign lang="grc">σν</foreign>
              eſt, ut OR ad
                <foreign lang="grc">τ<10></foreign>
              , Quia verò ita eſt
                <foreign lang="grc">σχ</foreign>
              ad
                <foreign lang="grc">χν</foreign>
              , ut
                <foreign lang="grc">τξ</foreign>
              ad
                <foreign lang="grc">ξ<10></foreign>
              ;
                <lb/>
                <arrow.to.target n="marg266"/>
              erit BD ad
                <foreign lang="grc">σχ</foreign>
              , vt OR ad
                <foreign lang="grc">τξ</foreign>
              atverò BD ad b
                <foreign lang="grc">σ</foreign>
              eſt, vt OR ad O
                <foreign lang="grc">τ</foreign>
              .
                <lb/>
              erit igitur BD ad B
                <foreign lang="grc">χ</foreign>
              , ut O
                <foreign lang="grc">γ</foreign>
              ad O
                <foreign lang="grc">ξ</foreign>
              . ac propterea diuidendo D
                <foreign lang="grc">χ</foreign>
                <lb/>
              ita ſe habet ad
                <foreign lang="grc">χ</foreign>
              B, vt R
                <foreign lang="grc">ξ</foreign>
              ad
                <foreign lang="grc">ξ</foreign>
              O.
                <emph type="italics"/>
              Quare manifestum est totius recti­
                <lb/>
              lineæ figuræ in portione ABC inſcriptæ centrum grauitatis
                <emph.end type="italics"/>
                <foreign lang="grc">χ</foreign>
                <emph type="italics"/>
              in eadem
                <lb/>
              proportione diuidere BD, veluti centrum grauitatis
                <emph.end type="italics"/>
                <foreign lang="grc">ξ</foreign>
                <emph type="italics"/>
              figuræ rectilineæ
                <lb/>
              in portione XOP
                <emph.end type="italics"/>
              inſcriptæ
                <emph type="italics"/>
              ipſam OR
                <emph.end type="italics"/>
              diametrum.
                <emph type="italics"/>
              quod demonstra­
                <lb/>
              re oportebat.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N15B46" type="margin">
              <s id="N15B48">
                <margin.target id="marg247"/>
                <emph type="italics"/>
              ex iis quę
                <lb/>
              poſt
                <gap/>
              pri­
                <lb/>
              mi huius
                <lb/>
              demonſtra
                <lb/>
              ta ſunt.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N15B5A" type="margin">
              <s id="N15B5C">
                <margin.target id="marg248"/>
              3. A
                <emph type="italics"/>
              rchi.
                <lb/>
              de quad.
                <lb/>
              parab. </s>
              <s id="N15B67">&
                <emph.end type="italics"/>
                <lb/>
              20,
                <emph type="italics"/>
              primi
                <lb/>
              conicorum
                <lb/>
              Apoll.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N15B76" type="margin">
              <s id="N15B78">
                <margin.target id="marg249"/>
              22.
                <emph type="italics"/>
              ſexti.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N15B81" type="margin">
              <s id="N15B83">
                <margin.target id="marg250"/>
              15.
                <emph type="italics"/>
              primi
                <lb/>
              huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N15B8E" type="margin">
              <s id="N15B90">
                <margin.target id="marg251"/>
              15.
                <emph type="italics"/>
              primi
                <lb/>
              buius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N15B9B" type="margin">
              <s id="N15B9D">
                <margin.target id="marg252"/>
              18.
                <emph type="italics"/>
              quinti.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N15BA6" type="margin">
              <s id="N15BA8">
                <margin.target id="marg253"/>
              2.
                <emph type="italics"/>
                <expan abbr="lẽma">lemma</expan>
              an
                <lb/>
              te
                <emph.end type="italics"/>
              13.
                <emph type="italics"/>
              pri
                <lb/>
              mi huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N15BBE" type="margin">
              <s id="N15BC0">
                <margin.target id="marg254"/>
              22.
                <emph type="italics"/>
              quinti.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N15BC9" type="margin">
              <s id="N15BCB">
                <margin.target id="marg255"/>
                <emph type="italics"/>
                <expan abbr="ãte">ante</expan>
                <emph.end type="italics"/>
              13.
                <emph type="italics"/>
              pri
                <lb/>
              mi huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N15BDD" type="margin">
              <s id="N15BDF">
                <margin.target id="marg256"/>
              1.
                <emph type="italics"/>
              lemma.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N15BE8" type="margin">
              <s id="N15BEA">
                <margin.target id="marg257"/>
              2.
                <emph type="italics"/>
              lemma.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N15BF3" type="margin">
              <s id="N15BF5">
                <margin.target id="marg258"/>
                <emph type="italics"/>
              ex
                <emph.end type="italics"/>
              6.
                <emph type="italics"/>
              pri­
                <lb/>
              mi huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N15C05" type="margin">
              <s id="N15C07">
                <margin.target id="marg259"/>
              18.
                <emph type="italics"/>
              quinti.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N15C10" type="margin">
              <s id="N15C12">
                <margin.target id="marg260"/>
              22.
                <emph type="italics"/>
              quinti.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N15C1B" type="margin">
              <s id="N15C1D">
                <margin.target id="marg261"/>
                <emph type="italics"/>
              cor.
                <emph.end type="italics"/>
              2.
                <emph type="italics"/>
              lem
                <lb/>
              ma m
                <emph.end type="italics"/>
              13.
                <lb/>
                <emph type="italics"/>
              primi hui
                <emph.end type="italics"/>
              ^{9}</s>
            </p>
            <p id="N15C35" type="margin">
              <s id="N15C37">
                <margin.target id="marg262"/>
                <emph type="italics"/>
              ex
                <emph.end type="italics"/>
              6.
                <emph type="italics"/>
              pri
                <lb/>
              mi huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N15C47" type="margin">
              <s id="N15C49">
                <margin.target id="marg263"/>
              3.
                <emph type="italics"/>
              lemma.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N15C52" type="margin">
              <s id="N15C54">
                <margin.target id="marg264"/>
              2.
                <emph type="italics"/>
                <expan abbr="lẽma">lemma</expan>
              an
                <lb/>
              te
                <emph.end type="italics"/>
              13.
                <emph type="italics"/>
              pri
                <lb/>
              mi huius.
                <emph.end type="italics"/>
                <lb/>
              3.
                <emph type="italics"/>
              lcmma.
                <emph.end type="italics"/>
                <lb/>
              2.
                <emph type="italics"/>
                <expan abbr="lẽma">lemma</expan>
              an
                <lb/>
              te
                <emph.end type="italics"/>
              13.
                <emph type="italics"/>
              pri­
                <lb/>
              mi huius
                <emph.end type="italics"/>
                <lb/>
              16.
                <emph type="italics"/>
              quinti.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N15C8C" type="margin">
              <s id="N15C8E">
                <margin.target id="marg265"/>
              19.
                <emph type="italics"/>
              quinti.
                <lb/>
              co.
                <emph.end type="italics"/>
              4.
                <emph type="italics"/>
                <expan abbr="quīti">quinti</expan>
              .
                <emph.end type="italics"/>
                <lb/>
              3.
                <emph type="italics"/>
              lemma.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N15CA9" type="margin">
              <s id="N15CAB">
                <margin.target id="marg266"/>
              2.
                <emph type="italics"/>
              lemma
                <lb/>
              ante
                <emph.end type="italics"/>
              13.
                <lb/>
                <emph type="italics"/>
              primi hui
                <emph.end type="italics"/>
              ^{9}
                <lb/>
              18.
                <emph type="italics"/>
              quinti.
                <emph.end type="italics"/>
              </s>
            </p>
            <figure id="id.077.01.154.1.jpg" xlink:href="077/01/154/1.jpg" number="97"/>
            <figure id="id.077.01.154.2.jpg" xlink:href="077/01/154/2.jpg" number="98"/>
            <p id="N15CCD" type="head">
              <s id="N15CCF">SCHOLIVM.</s>
            </p>
            <p id="N15CD1" type="main">
              <s id="N15CD3">Hinc colligere licet parabolas omnes inter ſe ſimiles eſſe. </s>
              <s id="N15CD5">Re
                <lb/>
              fert enim Eutocius hoc in loco, Apollonium pergęum in ſex
                <lb/>
              to Conicorum libro. (qui nondum in lucem prodijt) ſimiles
                <lb/>
              coni ſectiones dixiſſe eas eſſe, quando in vnaqua〈que〉 ſectione
                <lb/>
              lineę
                <expan abbr="ducũtur">ducuntur</expan>
              baſi
                <expan abbr="æquidiſtãtes">æquidiſtantes</expan>
              numero pares; hoc eſt tot in v­
                <lb/>
              na, quot in alia; vt in ſuperioribus figuris ductæ fuerunt, in v­
                <lb/>
              na quidem EK FI GH ipſi AC æquidiſtantes; & in altera ST
                <lb/>
              YV QZ ipſi PX æquidiſtantes; quę quidem efficiant, vt dia­
                <lb/>
              metri in eadem proportione diuiſæ proueniant; vt ſunt BN
                <lb/>
              NM ML LD; & O
                <foreign lang="grc">β βα α</foreign>
              9 9R. Deinde
                <expan abbr="æquidiſtãtes">æquidiſtantes</expan>
              AC EK
                <lb/>
              FI GH in eadem ſint proportione ipſarum XP ST YV QZ.
                <lb/>
              & quoniam hæ conditiones in omnibus poſſunt accidere pa
                <lb/>
              rabolis; vt ex ijs, quæ demonſtrata ſunt, manifeſtum eſt; id­
                <lb/>
              circo parabolæ omnes ſunt ſimiles. </s>
              <s id="N15D01">Ne〈que〉 verò
                <expan abbr="exiſtimandũ">exiſtimandum</expan>
                <lb/>
              eſt, quoniam parabolæ ſunt ſimiles, figur as quo〈que〉 planè
                <lb/>
              inſcriptas, vt AEFGBHIKC & XSYQOZVTP ſimiles eſſe in
                <lb/>
              ter ſe, ea præſertim ſimilitudine, qua ſunt figuræ rectilineæ;
                <lb/>
              vt ſcilicet anguli ſint æquales, & circum ęquales angulos late­
                <lb/>
              ra proportionalia. </s>
              <s id="N15D11">in parabolis
                <expan abbr="nõ">non</expan>
              attenditur hęc ſimilitudo.
                <lb/>
              ſatenim eſt, vt præfatæ adſint conditiones; ex quibus ſequi­
                <lb/>
              tur (vt oſtendimus) trapezia AK EI FH, triangulum què
                <lb/>
              BGH in eadem eſſe proportione trapeziorum XT SV YZ, ac </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum