Biancani, Giuseppe, Aristotelis loca mathematica, 1615

Table of figures

< >
< >
page |< < of 355 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.004007">
                <pb pagenum="235" xlink:href="009/01/235.jpg"/>
              conſiderare. </s>
              <s id="s.004008">per punctum igitur D, ducantur radij A D E, B D K. per pun­
                <lb/>
              ctum verò C, ducantur alij A C H, B C F, qui cùm ab extremitatibus Solis
                <lb/>
              profluant, reliquos omnes radios intra ſe continebunt. </s>
              <s id="s.004009">ex tertia igitur prę­
                <lb/>
              notatione per punctum C, procedit rotunda illuminatio, cuius diameter
                <lb/>
                <figure id="id.009.01.235.1.jpg" place="text" xlink:href="009/01/235/1.jpg" number="145"/>
                <lb/>
              F H, ſimiliter per punctum D, illuminatio
                <lb/>
              rotunda emanat, cuius diameter K E, & pa­
                <lb/>
              riter ex omnibus alijs rimulæ punctis ro­
                <lb/>
              tundi ſplendores in ſuperficiem, vbi F E,
                <lb/>
              tranſmittuntur. </s>
              <s id="s.004010">Iam dicimus has duas illu­
                <lb/>
              minationes ex prænotatis ſecundo loco,
                <lb/>
              quàm longius planum F E, à foramine de­
                <lb/>
              ſtiterit, vt ſi eſſet in L M, ad vnius circuli
                <lb/>
              rotunditatem magis accedere, vt apparet
                <lb/>
              in plano L M, vbi maiores factæ ſunt illumi­
                <lb/>
              nationes, & ideò magis ad vnam circula­
                <lb/>
              rem accedunt. </s>
              <s id="s.004011">
                <expan abbr="manifeſtũ">manifeſtum</expan>
              eft enim, quò lon­
                <lb/>
              gius radij C F, C H, producti fuerint, eò
                <lb/>
              maiorem fore
                <expan abbr="diametrũ">diametrum</expan>
              illuminationis F H.
                <lb/>
              euadet enim L O, & ſimiliter ex productio­
                <lb/>
              ne radiorum D K, D E, diameter alterius
                <lb/>
              illuminationis K E, augebitur, & fiet N M.
                <lb/>
              & conſequenter duæ ipſarum peripheriæ ſi­
                <lb/>
              mul maiores fient, ac proinde ad vnius cir­
                <lb/>
              culi ſimilitudinem ex
                <expan abbr="ſecũda">ſecunda</expan>
              notatione per­
                <lb/>
              uenient. </s>
              <s id="s.004012">& quamuis ex radiorum produ­
                <lb/>
              ctione augeantur non ſolum prædictæ dia­
                <lb/>
              metri illuminationum, ſed etiam earum
                <lb/>
              differentiæ F K, & H E; hæ tamen differen­
                <lb/>
              tiæ reſpectu illorum nihil, quod ſenſibile ſit
                <lb/>
              augentur; quod inde oritur, quia angulus F C H, maior eſt angulo F B K,
                <lb/>
              per 16. primi Elem. & ideò crura F C, H C, magis dilatata ſunt quàm cru­
                <lb/>
              ra F B, K B, & ideò ſi producantur, multò magis creſcit F H, dum euadit
                <lb/>
              M N, quàm F K, dum euadit M O. eodem modo magis creſcit K E, dum fit
                <lb/>
              O L, quàm H E, dum fit K L. quare ex ſecunda notatione earum periphe­
                <lb/>
              riæ ad vnius orbis figuram tandem concurrere videbuntur. </s>
              <s id="s.004013">multò autem
                <lb/>
              euidentius ad rotunditatem accederent, ſi tertia illuminatio per tertium
                <lb/>
              aliquod punctum tranſiens, ſic perueniret; & quo plures, eò etiam perfectius,
                <lb/>
              omnes enim rotundæ eſſent, & ex radiorum proceſſu augerentur, atque ad
                <lb/>
              vnius orbis formam ſe ſe reciperent.</s>
            </p>
            <p type="main">
              <s id="s.004014">Hæ porrò, quæ Geometricè comprobata ſunt, libet etiam iucunda qua­
                <lb/>
              dam experientia confirmare; fiant igitur in feneſtra quapiam duo, vel tria
                <lb/>
              parua admodum foramina, inuicem proxima, per quæ totidem illumina­
                <lb/>
              tiones ad obiectam chartam transferantur, hæ admota foramini charta
                <lb/>
              paruæ, ac ſibi mutuò parum incumbentes apparebunt, & proinde vnicum
                <lb/>
              circulum non præſeferent; quò autem longius charta remouebitur, eò ma­
                <lb/>
              iores fient, ac ſibi mutuò magis incumbentes, ac idcircò in vnum ferè </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum