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

List of thumbnails

< >
91
91 		92
92
93
93 		94
94
95
95 		96
96
97
97 		98
98
99
99 		100
100
< >
page |< < of 207 > >|
    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <pb xlink:href="077/01/161.jpg" pagenum="157"/>
            <p id="N160CF" type="main">
              <s id="N160D1">
                <emph type="italics"/>
              Sit portio ABC, qualis dictaest, ipſius verò diameter ſit BD.
                <lb/>
              primùmquè in ipſa planè inſeribatur triangulum ABC. & diuidatur
                <emph.end type="italics"/>
                <arrow.to.target n="marg277"/>
                <lb/>
                <emph type="italics"/>
              BD in E, ita vt dupla ſit BE ipſius ED. erit vtiquè trtanguli ABC
                <lb/>
              centrum grauitatis punctum E. Diuidatur ità〈que〉 biſariam vtra〈que〉
                <lb/>
              AB BC in punctis FG. &
                <gap/>
              punctis FG ipſi BD ducantur æquidi­
                <lb/>
              ſtantes FK GL. erit ſanè portionis A
                <emph.end type="italics"/>
              k
                <emph type="italics"/>
              B centrum grauitatis in linea
                <emph.end type="italics"/>
                <arrow.to.target n="marg278"/>
                <lb/>
                <emph type="italics"/>
              F
                <emph.end type="italics"/>
              k.
                <emph type="italics"/>
              portionis verò BLC centrum grauit atis erit in linea GL. ſint ita­
                <lb/>
              〈que〉 puncta HI. connectanturquè HI FG.
                <emph.end type="italics"/>
              quæ BD ſecent in QN.
                <lb/>
                <arrow.to.target n="fig72"/>
                <lb/>
              erit vti〈que〉 punctum Q vertici B propinquius, quàm N.
                <arrow.to.target n="marg279"/>
                <lb/>
              verò eſt BF ad FA, vt BG ad GC, erit FG
                <expan abbr="æquidiſtãsipſi">æquidiſtansipſi</expan>
              AC,
                <lb/>
              eritquè FN ad NG, vt AD ad DC. eſt verò AD ipſi DC æqua­
                <lb/>
              lis, ergo FN NG inter ſe ſunt æquales. </s>
              <s id="N16118">quoniam autem FN
                <lb/>
              eſt ipſi AD æquidiſtans, erit AF ad FB, vt DN ad NB. eſt
                <arrow.to.target n="marg280"/>
                <lb/>
              tem AF dimidia ipſius AB; cùm ſint AF FB ęquales ergo &
                <lb/>
              DN dimidia eſt ipſius DB. at verò quoniam DE terria eſt
                <lb/>
              pars ipſius DB, ſiquidem eſt BE ipſius ED dupla, erit pun­
                <lb/>
              ctum N propinquius vertici B portionis, quàm pun­
                <lb/>
              ctum E.
                <emph type="italics"/>
              Et quoniam parallelogrammum est HFGI. & æqualis est
                <lb/>
              FN ipſi NG, erit QH ipſi QI æqualis. </s>
              <s id="N1612E">ac propterea magnitudinis ex
                <lb/>
              vtriſ〈que〉 A
                <emph.end type="italics"/>
              k
                <emph type="italics"/>
              B BLC portionibus compoſitæ centrum grauitatis eſt in
                <emph.end type="italics"/>
                <arrow.to.target n="marg281"/>
                <lb/>
                <emph type="italics"/>
              medio lineæ HI, cùm portiones
                <emph.end type="italics"/>
              AKB BLC
                <emph type="italics"/>
              ſint æquales. </s>
              <s id="N16148">erit ſcilicet
                <lb/>
              punctum
                <expan abbr="q.">〈que〉</expan>
              Quoniam autem trianguli ABC centrum grauitatis eſt
                <lb/>
              punctum E, magnitudinis verò ex vtriſquè A
                <emph.end type="italics"/>
              k
                <emph type="italics"/>
              B BLC compoſisæ
                <emph.end type="italics"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum