Guevara, Giovanni di, In Aristotelis mechanicas commentarii, 1627

Page concordance

< >
Scan Original
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
< >
page |< < of 303 > >|
    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <p id="N112BC" type="main">
              <s id="N112E1">
                <pb pagenum="36" xlink:href="005/01/044.jpg"/>
              gnum: ita quælibet linea curua, ſeu conuexa antequam fiat
                <lb/>
              concaua, prius debet fieri recta: abſurdum igitur apparet, ean­
                <lb/>
              dem omnino circuli periferiam, ſimul conſtitui concauam,
                <lb/>
              & conuexam. </s>
            </p>
            <p id="N112F3" type="main">
              <s id="N112F5">Nec difficultatem euadunt, qui dicunt, concauum, & con­
                <lb/>
              uexum realiter non eſſe idem in circulo, ſeu curuitatem, &
                <lb/>
              concauitatem non reperiri in eadem linea, ſed in diuerſis, ità
                <lb/>
              vt in circunferentia ſit tantum curuitas, ſeù conuexum, con­
                <lb/>
              cauitas verò ſit potius in corpore extrinſeco ambiente per li­
                <lb/>
              neam illi correſpondentem. </s>
              <s id="N11302">Etenim cum linea corporis con­
                <lb/>
              tinentis ambiens circulum, penetretur in eodem ſpacio cum
                <lb/>
              circunferentia ipſius circuli,
                <expan abbr="conſidereturq.">conſidereturque</expan>
              ſola quantitas
                <lb/>
              abſtracta, & figura vtriuſque lineæ coincidentis, eadem ſem­
                <lb/>
              per difficultas obſtabit; nempè quo pacto fieri poſſit, vt
                <expan abbr="eadẽ">eadem</expan>
                <lb/>
              longitudo latitudinis expers, circulum terminans, ſeù circu­
                <lb/>
              lariter extenſa, ſimul ſit concaua, & conuexa. </s>
              <s id="N11319">Sed nihil pro­
                <lb/>
              hibet eandem circumferentiam indiuisibilem quoad latitudi­
                <lb/>
              nem, & profunditatem, ſimul eſſe concauam, & conuexam
                <lb/>
              reſpectu diuerſorum, vt in alijs etiam linearum figuris, ac ſu­
                <lb/>
              perficiebus poterit exemplificari: & vt eadem via dicitur
                <lb/>
              acliuis, & decliuis; idemque magnum, & paruum rei pectu di­
                <lb/>
              uerſorum, quæ cum illo comparantur. </s>
              <s id="N11328">Quo fit, vt admiran­
                <lb/>
              dam quidem eſſe huiuſmodi proprietatem circuli iure dica­
                <lb/>
              mus, nullam tamen in ſe
                <expan abbr="repugnantiã">repugnantiam</expan>
              inuoluere admittamus. </s>
            </p>
            <p id="N11333" type="head">
              <s id="N11335">
                <emph type="italics"/>
              De tertia Circuli proprietate.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N1133C" type="head">
              <s id="N1133E">Textus Quintus.</s>
            </p>
            <p id="N11341" type="main">
              <s id="N11343">A
                <emph type="italics"/>
              ltervm autem, quod ſimul contrarijs
                <lb/>
              mouetur motionibus: ſimul enim ad anterio­
                <lb/>
              rem mouetur locum, & ad poſteriorem. </s>
              <s id="N1134D">Et
                <lb/>
              ea, quæ circulum deſcribit, linea eodem ſe
                <lb/>
              habet modo: Ex que enim incipit loco, illius
                <lb/>
              extremum, ad eundem rurſus redit: Illa
                <lb/>
              enim continuò commota, extremum rurſus efficitur primum.
                <emph.end type="italics"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>