Biancani, Giuseppe, Aristotelis loca mathematica, 1615

Table of figures

< >
[Figure 111]
[Figure 112]
[Figure 113]
[Figure 114]
[Figure 115]
[Figure 116]
[Figure 117]
[Figure 118]
[Figure 119]
[Figure 120]
[Figure 121]
[Figure 122]
[Figure 123]
[Figure 124]
[Figure 125]
[Figure 126]
[Figure 127]
[Figure 128]
[Figure 129]
[Figure 130]
[Figure 131]
[Figure 132]
[Figure 133]
[Figure 134]
[Figure 135]
[Figure 136]
[Figure 137]
[Figure 138]
[Figure 139]
[Figure 140]
< >
page |< < of 355 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.002043">
                <pb pagenum="116" xlink:href="009/01/116.jpg"/>
                <figure id="id.009.01.116.1.jpg" place="text" xlink:href="009/01/116/1.jpg" number="57"/>
                <lb/>
                <emph type="italics"/>
              ſemper ſemicirculo, minus autem,
                <lb/>
              cum in meridie fuerit aſtrum)
                <emph.end type="italics"/>
              quod
                <lb/>
              ſupra monui, iterum moneo,
                <expan abbr="re-tinẽdam">re­
                  <lb/>
                tinendam</expan>
              vocem reflexionis,
                <expan abbr="quã-uis">quam­
                  <lb/>
                uis</expan>
              in antiqua tranſlatione lega­
                <lb/>
              tur refractio, eſt enim apud om­
                <lb/>
              nes in confeſſo Iridem fieri per
                <lb/>
              reflexionem. </s>
              <s id="s.002044">Eſt igitur in ſupe­
                <lb/>
              riori figura, quam textui, vt par
                <lb/>
              erat reſtitui, horizon G K O. cuius centrum K. in quo eſt viſus noſter,
                <expan abbr="ſitq́">ſitque</expan>
              ;
                <lb/>
              hemiſphærium noſtrum in arcu G A M O, repræſentatum,
                <expan abbr="ſitq́">ſitque</expan>
              ; nubes rori­
                <lb/>
              da, in qua Iris appareat, vbi M, quod punctum M, nubem referens, in figu­
                <lb/>
              ra ponitur in hemiſphærij ambitu, quod cœlum repræſentat, cum tamen
                <lb/>
              nubes parum à terra ſubuehatur; id enim ad demonſtrationem ferè perinde
                <lb/>
              eſt. </s>
              <s id="s.002045">in oriente G, ſit aſtrum. </s>
              <s id="s.002046">ſi ergò lineæ viſuales à K, ad M, nubem tenden­
                <lb/>
              tes reflectantur ſuper maiorem angulum M K G, ad G, erit reflexarum vna
                <lb/>
              veluti M G. </s>
              <s id="s.002047">Porro omnes lineæ viſuales, quæ ad nubem M, incidunt, neceſ­
                <lb/>
              ſariò, vt probabo, cadent in ambitum circularem. </s>
              <s id="s.002048">debemus enim innume­
                <lb/>
              ras lineas imaginari à K, in coni figuram excidentes, cuius vertex ſit in K,
                <lb/>
              & axis G K O, quas omnes repræſentat vna K M,
                <expan abbr="meliusq́">meliusque</expan>
              ; repræſentabit, fi
                <lb/>
              cogitemus axem G K O, circa polos G, O, manentes circumuolui,
                <expan abbr="ſecumq́">ſecumque</expan>
              ;
                <lb/>
              lineam K M, circumducere. </s>
              <s id="s.002049">in hac etiam giratione linea K M, tranſibit per
                <lb/>
              omnes illas lineas, quas imaginabamur;
                <expan abbr="deſcribetq́">deſcribetque</expan>
              ; conum, quem illæ con­
                <lb/>
              formare debebant. </s>
              <s id="s.002050">In prædicta autem axis volutatione, extremum M, li­
                <lb/>
              neæ K M, neceſſariò deſcribit circulum, qui eſt circulus Iridis, & eſt baſis
                <lb/>
              memorati coni.</s>
            </p>
            <p type="main">
              <s id="s.002051">Si igitur oriente, vel occidente aſtro fiat iris, Iris erit ſemicirculus, ideſt
                <lb/>
              illa ſemiſſis circuli prędicti (quem horizon bifariam diuidit) quæ ſupra ter­
                <lb/>
              ram extabit. </s>
              <s id="s.002052">ſi autem aſtrum eleuatum ſupra horizontem fuerit, quando fit
                <lb/>
              iris, erit ſemper arcus Iridis ſemicirculo minor;
                <expan abbr="tuncq́">tuncque</expan>
              ; minimus
                <expan abbr="">cum</expan>
              aſtrum
                <lb/>
                <expan abbr="meridianũ">meridianum</expan>
                <expan abbr="circulũ">circulum</expan>
              occupauerit. </s>
              <s id="s.002053">hęc tria ſunt, quæ deinceps
                <expan abbr="probãda">probanda</expan>
              recipit.</s>
            </p>
            <p type="main">
              <s id="s.002054">
                <arrow.to.target n="marg165"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.002055">
                <margin.target id="marg165"/>
              264</s>
            </p>
            <figure id="id.009.01.116.2.jpg" place="text" xlink:href="009/01/116/2.jpg" number="58"/>
            <p type="main">
              <s id="s.002056">Ibidem
                <emph type="italics"/>
              (Sit enim in
                <expan abbr="oriẽte">oriente</expan>
              pri­
                <lb/>
              mum vbi G, & refracta ſit K M,
                <lb/>
              ad G, & planum erectum ſit in quo
                <lb/>
              A, à triangulo in quo G K M, cir­
                <lb/>
              culus igitur erit ſectio ſphæræ, qui
                <lb/>
              maximus ſit in quo A, differet enim
                <lb/>
              nihil ſi quod
                <expan abbr="cŭq;">cŭque</expan>
              eorum, quæ ſuper
                <lb/>
              G K, ſecundum triangulŭ K M G,
                <lb/>
              erectum fuerit planum. </s>
              <s id="s.002057">lineæ igitur
                <lb/>
              ab ijs, quæ G, K, ductæ in hac ratio­
                <lb/>
              ne non conſtituentur ad aliud, &
                <lb/>
              aliud punctum, quàm ſemicirculi
                <lb/>
              in quo A. </s>
              <s id="s.002058">Quoniam enim puncta
                <lb/>
              G, K, data ſunt, & quæ K M, vtique data erit; & quæ M G, ad M K; datam igi­
                <lb/>
              tur circunferentiam tanget M, fit
                <expan abbr="itaq;">itaque</expan>
              hæc in qua M N, quare ſectio circunferen-
                <emph.end type="italics"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>