Barrow, Isaac, Lectiones opticae & geometricae : in quibus phaenomenon opticorum genuinae rationes investigantur, ac exponuntur: et generalia curvarum linearum symptomata declarantur

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          <pb o="103" file="0121" n="121" rhead=""/>
          <p>
            <s xml:id="echoid-s6942" xml:space="preserve">_Hujuſmodi Vitrum Myopes juvat;_ </s>
            <s xml:id="echoid-s6943" xml:space="preserve">pro quibus ità conſtruatur:
              <lb/>
            </s>
            <s xml:id="echoid-s6944" xml:space="preserve">ſit ZD diſtantia, ad quam optimè cernunt; </s>
            <s xml:id="echoid-s6945" xml:space="preserve">ſumatúrque ZB utcun-
              <lb/>
            que paullo minor quàm ZD; </s>
            <s xml:id="echoid-s6946" xml:space="preserve">& </s>
            <s xml:id="echoid-s6947" xml:space="preserve">fiat CB = {5/8} ZB; </s>
            <s xml:id="echoid-s6948" xml:space="preserve">tum centro C
              <lb/>
            per B deſcribatur circulus EBF, & </s>
            <s xml:id="echoid-s6949" xml:space="preserve">centro Z per D circulus GDH
              <lb/>
            deſcribatur; </s>
            <s xml:id="echoid-s6950" xml:space="preserve">ipſi (Superficiei GDH oculum admoventes) punctum
              <lb/>
            A diſtinctè ſpectabunt, velut ad Z ſitum.</s>
            <s xml:id="echoid-s6951" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6952" xml:space="preserve">Quod ſi velit _Myops,_ ad diſtantiam itidem ZD diſtinctè cernens,
              <lb/>
            aſſignatum punctum A contemplari; </s>
            <s xml:id="echoid-s6953" xml:space="preserve">adſumpto, ut prius, liberè
              <lb/>
            puncto B, fiat CB = {2 AB x ZB/5 AB - 3 ZB}; </s>
            <s xml:id="echoid-s6954" xml:space="preserve">& </s>
            <s xml:id="echoid-s6955" xml:space="preserve">reliqua fiant, ut priùs.</s>
            <s xml:id="echoid-s6956" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s6957" xml:space="preserve">_II._ </s>
            <s xml:id="echoid-s6958" xml:space="preserve">Dati puncti A perfectam imaginem, etiam ope lentis concave-
              <lb/>
              <note position="right" xlink:label="note-0121-01" xlink:href="note-0121-01a" xml:space="preserve">Fig. 164.</note>
            convexæ, in datum aliud punctum Z lorginquius projicere.</s>
            <s xml:id="echoid-s6959" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6960" xml:space="preserve">Fiat AZ. </s>
            <s xml:id="echoid-s6961" xml:space="preserve">AD :</s>
            <s xml:id="echoid-s6962" xml:space="preserve">: 1 - R. </s>
            <s xml:id="echoid-s6963" xml:space="preserve">R. </s>
            <s xml:id="echoid-s6964" xml:space="preserve">item dividatur AD in C, ut ſit CD.
              <lb/>
            </s>
            <s xml:id="echoid-s6965" xml:space="preserve">CA :</s>
            <s xml:id="echoid-s6966" xml:space="preserve">: 1. </s>
            <s xml:id="echoid-s6967" xml:space="preserve">R; </s>
            <s xml:id="echoid-s6968" xml:space="preserve">& </s>
            <s xml:id="echoid-s6969" xml:space="preserve">centro C per D deſcribatur circulus EDF. </s>
            <s xml:id="echoid-s6970" xml:space="preserve">item
              <lb/>
            centro A, quopiam intervallo AB (minori quàm AD) deſcribatur
              <lb/>
            circulus EDF; </s>
            <s xml:id="echoid-s6971" xml:space="preserve">factum erit; </s>
            <s xml:id="echoid-s6972" xml:space="preserve">nempe lens EDF puncti A ima-
              <lb/>
            ginem in punctum Z projiciet.</s>
            <s xml:id="echoid-s6973" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6974" xml:space="preserve">Datâ CB, puncta A, Z viciſſim è propoſitis innoteſcunt.</s>
            <s xml:id="echoid-s6975" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6976" xml:space="preserve">In vitro, ſi CB = 15, erit {ZC = 9. </s>
            <s xml:id="echoid-s6977" xml:space="preserve">\\ ZB = 24.</s>
            <s xml:id="echoid-s6978" xml:space="preserve">} & </s>
            <s xml:id="echoid-s6979" xml:space="preserve">{AZ = 16. </s>
            <s xml:id="echoid-s6980" xml:space="preserve">\\ AB = 40.</s>
            <s xml:id="echoid-s6981" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6982" xml:space="preserve">Itidem & </s>
            <s xml:id="echoid-s6983" xml:space="preserve">hîc, perlentem EF verſus Z tendentes radii in A refrin-
              <lb/>
            guntur.</s>
            <s xml:id="echoid-s6984" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6985" xml:space="preserve">Hinc _Presbytis_ utile conficiatur _Vitrum,_ hocpacto: </s>
            <s xml:id="echoid-s6986" xml:space="preserve">Ad interval-
              <lb/>
            lum ZD hi diſtinctè videant. </s>
            <s xml:id="echoid-s6987" xml:space="preserve">Secetur ZD in A, ut ſit AD = {3/5} ZD.
              <lb/>
            </s>
            <s xml:id="echoid-s6988" xml:space="preserve">item ſit CD = {5/8} AD (vel ſit CD = {3/8} ZD) centróque C per D
              <lb/>
            deſcribatur circulus EDF. </s>
            <s xml:id="echoid-s6989" xml:space="preserve">item utcunque ſumpto puncto B (citra
              <lb/>
            D nempe, verſus A) centro A per B deſcribatur circulus EBF. </s>
            <s xml:id="echoid-s6990" xml:space="preserve">
              <lb/>
            lente EF dicti _Presbyta_ punctum A diſtinctiſſimè conſpicient.</s>
            <s xml:id="echoid-s6991" xml:space="preserve">‖</s>
          </p>
          <p>
            <s xml:id="echoid-s6992" xml:space="preserve">Hiſce demum in cumulum adjiciatur ab amico communicatus _Modus_
              <lb/>
            _elegans ac expeditus cujuſcunque caſûs imaginem Geometricè deſig-_
              <lb/>
            _nandi; </s>
            <s xml:id="echoid-s6993" xml:space="preserve">ut & </s>
            <s xml:id="echoid-s6994" xml:space="preserve">lentem deſcribendi, quæ imaginem in datum punctum_
              <lb/>
            _projiciet._</s>
            <s xml:id="echoid-s6995" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s6996" xml:space="preserve">1. </s>
            <s xml:id="echoid-s6997" xml:space="preserve">Imaginem deſignare.</s>
            <s xml:id="echoid-s6998" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6999" xml:space="preserve">E centris, & </s>
            <s xml:id="echoid-s7000" xml:space="preserve">verticibus circulorum lentem conſtituentium erigan-
              <lb/>
              <note position="right" xlink:label="note-0121-02" xlink:href="note-0121-02a" xml:space="preserve">Fig. 165,
                <lb/>
              166, 167.</note>
            tur ad axin perpendiculares Kj, BP, DQ, CI; </s>
            <s xml:id="echoid-s7001" xml:space="preserve">deinde per punctum
              <lb/>
            A ducatur quævis recta API ſecans BP, & </s>
            <s xml:id="echoid-s7002" xml:space="preserve">CIinP, & </s>
            <s xml:id="echoid-s7003" xml:space="preserve">I. </s>
            <s xml:id="echoid-s7004" xml:space="preserve">fac CI.
              <lb/>
            </s>
            <s xml:id="echoid-s7005" xml:space="preserve">CR :</s>
            <s xml:id="echoid-s7006" xml:space="preserve">: I. </s>
            <s xml:id="echoid-s7007" xml:space="preserve">R. </s>
            <s xml:id="echoid-s7008" xml:space="preserve">agatur recta RP ſecans DQ, & </s>
            <s xml:id="echoid-s7009" xml:space="preserve">K ρ in Q, & </s>
            <s xml:id="echoid-s7010" xml:space="preserve">ρ; </s>
            <s xml:id="echoid-s7011" xml:space="preserve">fac
              <lb/>
            K ρ. </s>
            <s xml:id="echoid-s7012" xml:space="preserve">Kj :</s>
            <s xml:id="echoid-s7013" xml:space="preserve">: R. </s>
            <s xml:id="echoid-s7014" xml:space="preserve">I, & </s>
            <s xml:id="echoid-s7015" xml:space="preserve">agatur 1 Q, quæ producta ſecabit axin in Y, loco
              <lb/>
            imaginis quæſito.</s>
            <s xml:id="echoid-s7016" xml:space="preserve">‖</s>
          </p>
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