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

Table of figures

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    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <p id="N111C8" type="main">
              <s id="N111E6">
                <pb xlink:href="077/01/039.jpg" pagenum="35"/>
              ABCDE, cuius omnes anguli ſunt flexi ad interiorem figuræ
                <lb/>
              partem. </s>
              <s id="N111F8">& hoc modo perimeter huius figuræ erit ad eandem
                <lb/>
              partem concauus. </s>
              <s id="N111FC">vnde excluduntur figuræ, exempli gratia
                <lb/>
              FGHKL; cùm angulus K non ſit ſinuoſus, & concauus ad
                <lb/>
              eandem partem, vt reliqui anguli; qui ſunt ſinuoſi verſus inte
                <lb/>
              riorem partem figurę K vero ad exteriorem. </s>
              <s id="N11206">ſimili modo
                <lb/>
              intelligendum eſt de curuilineis, vt circuli, ellipſes, vel alterius
                <lb/>
              generis figuræ, vt ſunt MN, quæ ſuam habent concauitatem
                <lb/>
              ad eandem partem: ſed curuline˛ OP non ſunt ad eandem
                <lb/>
              partem concauę. </s>
              <s id="N11214">Mixtæ quo〈que〉 figuræ, ut ſunt portiones cir
                <lb/>
              culi, hyperbolę ac parabolę rectis linenis terminatę, vel alte
                <lb/>
              rius generis figurę, vt ſunt QR. hę quidem omnes ſunt ad
                <expan abbr="eãdem">ean­
                  <lb/>
                dem</expan>
              partem concauę. Mixtæ verò ST minimè Regulam au­
                <lb/>
              tem quandam vniuerſalem ex verbis Archimedis loco citato
                <lb/>
              elicere poſſumus, vt cognoſcere valeamus, an figuræ ſint ad
                <lb/>
              eandem partem concauæ, vel minùs vt ſcilicet in oblata figu
                <lb/>
              ra vbicum〈que〉 duo ſumi poſſint puncta, quæ ſi recta linea
                <expan abbr="cõnectantur">con
                  <lb/>
                nectantur</expan>
              , tota recta li
                <lb/>
                <arrow.to.target n="fig16"/>
                <lb/>
              nea, vel ipſius pars ali­
                <lb/>
              qua extra figuram non
                <lb/>
              cadat. </s>
              <s id="N11239">vt in figuris A,
                <lb/>
              quæ ſunt ad
                <expan abbr="eandẽ">eandem</expan>
              par
                <lb/>
              tem concauæ, vtcum­
                <lb/>
              〈que〉 duo ſumantur
                <expan abbr="pũ-cta">pun­
                  <lb/>
                cta</expan>
              BC, quæ conne­
                <lb/>
              ctantur, tota uti〈que〉 re­
                <lb/>
              cta linea inter puncta
                <lb/>
              BC exiſtens, extra figu
                <lb/>
              ram non cadet. </s>
              <s id="N11253">Quòd
                <lb/>
              ſi hæc linea cum termino, hoc eſt eum latere figurę conueni­
                <lb/>
              ret, vt ſi figuræ latus fuerit rectum, in quo duo ſumantur pun
                <lb/>
              cta, nihilominus recta linea inter hæc puncta extra figuram
                <lb/>
              non cadet: quandoquidem figuræ terminus extra figuram mi
                <lb/>
              nimè reperitur at〈que〉 hac ratione quomodocun〈que〉, &
                <expan abbr="vbicũ〈que〉">vbicum
                  <lb/>
                〈que〉</expan>
              in his figuris duo ſumantur puncta, idem ſemper contin
                <lb/>
              get. </s>
              <s id="N11263">Quod tamen figuris D ſemper euenite non poteſt in qui
                <lb/>
              bus (cùm non ſint ad eandem partem concauę) duo ſumere </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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