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

Page concordance

< >
Scan Original
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
< >
page |< < of 207 > >|
    <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>
Impressum