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

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            <s xml:id="echoid-s559" xml:space="preserve">
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            cinnè penes vos eſto judicium. </s>
            <s xml:id="echoid-s560" xml:space="preserve">Non diffitebor autem aut penitus diſſi-
              <lb/>
            mulabo non eſſe nihil quod his objici poſſit, & </s>
            <s xml:id="echoid-s561" xml:space="preserve">dubitandi cauſam inji-
              <lb/>
            cere. </s>
            <s xml:id="echoid-s562" xml:space="preserve">Cur enim, percontetur aliquis, quando ſolum punctum B vet-
              <lb/>
            ſus A renitatur, & </s>
            <s xml:id="echoid-s563" xml:space="preserve">totum lineæ BD quod ſupereſt partes appetat
              <lb/>
            contrarias, non circa punctum quodpiam aliud in ipſa BD, puncto B
              <lb/>
            propinquius, ut puta circa X, potiùs iſta gyratio concipiatur peragen-
              <lb/>
            da? </s>
            <s xml:id="echoid-s564" xml:space="preserve">Reſpondeo quàm breviſſimè (quonia@ incitato curſu tendens ul-
              <lb/>
              <note position="left" xlink:label="note-0032-01" xlink:href="note-0032-01a" xml:space="preserve">Fig. 6.</note>
            teriùs æ grè remoras fert) id in natura conſtanter accidere, quum mo-
              <lb/>
            tus rectus in circularem degenerat, ut extremæ ſibimet adverſæ mobi-
              <lb/>
            lium partes omnem motum dirigant ac moderentur, reliquis ad illa-
              <lb/>
            rum ductum componentibus ſe, motúſque ſuos attemperantibus; </s>
            <s xml:id="echoid-s565" xml:space="preserve">ne-
              <lb/>
            que non his quos ob extremarum contraniſmum, atque conflictum
              <lb/>
            amittere neceſſe habent in illas transfundentibus; </s>
            <s xml:id="echoid-s566" xml:space="preserve">quo fit ut mediis
              <lb/>
            hinc indè quàm tardiſſimè dimotis extremæ velociùs revolvantur, Ita-
              <lb/>
            que cùm extrema puncta B, D partes in contrarium æquâ vi nitantur,
              <lb/>
            neque niſi circa medium punctum Z rotatio peragatur, quod effectant
              <lb/>
            aſſequi poſſint, id ſtatim fiet, & </s>
            <s xml:id="echoid-s567" xml:space="preserve">reliquæ partes haud gravatim obſe-
              <lb/>
            quentur. </s>
            <s xml:id="echoid-s568" xml:space="preserve">Nè dicam in recta BD nullum aliud punctum exiſtere, cui
              <lb/>
            præ aliis jure prærogativa competit, ut circa ipſum mobile libretur.
              <lb/>
            </s>
            <s xml:id="echoid-s569" xml:space="preserve">At pluribus abſtinens ad refractionis præcipuam legem haud abſimili
              <lb/>
            diſcurſu proliciendam atque declarandam accedo. </s>
            <s xml:id="echoid-s570" xml:space="preserve">Hanc nempe:</s>
            <s xml:id="echoid-s571" xml:space="preserve"/>
          </p>
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            <s xml:id="echoid-s572" xml:space="preserve">IV. </s>
            <s xml:id="echoid-s573" xml:space="preserve">6. </s>
            <s xml:id="echoid-s574" xml:space="preserve">Radii lucis alteri cuipiam diſſimili perſpicuo (nimirum ho-
              <lb/>
            mogeneo quoad ſe) incidentes ità refringuntur, ut perpetuò recti ſi-
              <lb/>
            nus inclinationum, quas habent incidentes, proportionales ſint rectis
              <lb/>
            ſinubus inclinationum, quas obtinent refracti. </s>
            <s xml:id="echoid-s575" xml:space="preserve">Huic elucidando, ſta-
              <lb/>
            biliendóque decreto; </s>
            <s xml:id="echoid-s576" xml:space="preserve">Parallelogrammum ABDC lucis radium re-
              <lb/>
            præſentans impingat planæ ſuperficiei EF pellucidi medii (vel ſit recta
              <lb/>
            EF ſectio communis, ut in caſu præcedente, quod & </s>
            <s xml:id="echoid-s577" xml:space="preserve">abhinc ſemper
              <lb/>
            intelligatur) progreſſum ejus aliquatenus retundentis. </s>
            <s xml:id="echoid-s578" xml:space="preserve">Itaque medium
              <lb/>
            iſthoc ſubingrediens punctum B procedere, tardiùs quidem, attenta-
              <lb/>
            bit per rectam BG, ſeu peripſam AB protractam, intereà verò pun-
              <lb/>
            ctum D in primo durans medio motum ſuum priorem adurgebit in re-
              <lb/>
            cta CDH. </s>
            <s xml:id="echoid-s579" xml:space="preserve">Hos autem conatus, aliàs irritos futuros (nec enim utrum-
              <lb/>
            que poteſt rectum motum illud tardiùs, hoc velociùs incedendo conſer-
              <lb/>
            vare) quàm proximè conſequentur, modò circa punctum aliquod in
              <lb/>
            recta DB producta ſitum, puta quale Z, rotentur; </s>
            <s xml:id="echoid-s580" xml:space="preserve">ità ſcilicet ut dum
              <lb/>
            punctum D in medio rariori (rarius appello quod minùs reſiſtit, aut
              <lb/>
            retardat; </s>
            <s xml:id="echoid-s581" xml:space="preserve">ut & </s>
            <s xml:id="echoid-s582" xml:space="preserve">denſius quod motum magis reprimit, & </s>
            <s xml:id="echoid-s583" xml:space="preserve">tardiorem
              <lb/>
            reddit) velociùs latum deſcribit arcum majorem D δ; </s>
            <s xml:id="echoid-s584" xml:space="preserve">punctum </s>
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