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

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            <emph style="sc">Lect</emph>
          . VIII.</head>
          <p>
            <s xml:id="echoid-s3264" xml:space="preserve">I QUæ radiis obveniunt à longinquo puncto manantibus, adc-
              <lb/>
            óque quaſi parallelis, ex reflectione peripheriam ad circula-
              <lb/>
            rem peractâ; </s>
            <s xml:id="echoid-s3265" xml:space="preserve">ubinam & </s>
            <s xml:id="echoid-s3266" xml:space="preserve">quouſque vel ſibimet ipſis occurrunt, vel ax-
              <lb/>
            em interſecant; </s>
            <s xml:id="echoid-s3267" xml:space="preserve">quo loco radians oculo ubicunque conſtituto repræ-
              <lb/>
            ſentant, in poſtremis eſt diſſertatum. </s>
            <s xml:id="echoid-s3268" xml:space="preserve">ad punctum jam accedimus ra-
              <lb/>
            dios ejiciens ſenſibiliter divergentes. </s>
            <s xml:id="echoid-s3269" xml:space="preserve">Et hujuſmodi quidem puncto,
              <lb/>
            quanquam ſeu in obverſas circuli Convexas partes ſeu ad concavas
              <lb/>
            radiet communia pleraque ſymptomata conveniunt; </s>
            <s xml:id="echoid-s3270" xml:space="preserve">tamen communi
              <lb/>
            fretus _Opticorum_ exemplo, præſertímque majoris evidentiæ causâ,
              <lb/>
            caſus iſtos diſtinctè proſequemur; </s>
            <s xml:id="echoid-s3271" xml:space="preserve">illum fuſiùs imprimis, hunc aliquan-
              <lb/>
            to conciſiùs. </s>
            <s xml:id="echoid-s3272" xml:space="preserve">ad rem.</s>
            <s xml:id="echoid-s3273" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3274" xml:space="preserve">II. </s>
            <s xml:id="echoid-s3275" xml:space="preserve">In circuli BNP (cujus centrum C) convexum à puncto A
              <lb/>
            quilibet incidat radius AN, íſque reflectatur in NG; </s>
            <s xml:id="echoid-s3276" xml:space="preserve">patet reflex-
              <lb/>
            um GN productum axi AC occurſurum. </s>
            <s xml:id="echoid-s3277" xml:space="preserve">nam ductâ CNE patet
              <lb/>
            GN productum angulum ANC ſecare; </s>
            <s xml:id="echoid-s3278" xml:space="preserve">nec non ideò trianguli
              <lb/>
            ANC baſin AC; </s>
            <s xml:id="echoid-s3279" xml:space="preserve">puta in K; </s>
            <s xml:id="echoid-s3280" xml:space="preserve">quo poſito.</s>
            <s xml:id="echoid-s3281" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3282" xml:space="preserve">III. </s>
            <s xml:id="echoid-s3283" xml:space="preserve">Dico fore AC. </s>
            <s xml:id="echoid-s3284" xml:space="preserve">AN :</s>
            <s xml:id="echoid-s3285" xml:space="preserve">: KC. </s>
            <s xml:id="echoid-s3286" xml:space="preserve">KN. </s>
            <s xml:id="echoid-s3287" xml:space="preserve">Nam ducatur KH ad
              <lb/>
            CN parallela. </s>
            <s xml:id="echoid-s3288" xml:space="preserve">eſt igitnr ang. </s>
            <s xml:id="echoid-s3289" xml:space="preserve">KHN = CNP = CNK = NKH.
              <lb/>
            </s>
            <s xml:id="echoid-s3290" xml:space="preserve">hoc etiam è ſuperiùs generatim oftenſis conſectatur. </s>
            <s xml:id="echoid-s3291" xml:space="preserve">adeóque NH
              <lb/>
            = NK. </s>
            <s xml:id="echoid-s3292" xml:space="preserve">itâque cùm ſit AC. </s>
            <s xml:id="echoid-s3293" xml:space="preserve">AN :</s>
            <s xml:id="echoid-s3294" xml:space="preserve">: KC. </s>
            <s xml:id="echoid-s3295" xml:space="preserve">HN. </s>
            <s xml:id="echoid-s3296" xml:space="preserve">erit etiam AC. </s>
            <s xml:id="echoid-s3297" xml:space="preserve">
              <lb/>
            AN :</s>
            <s xml:id="echoid-s3298" xml:space="preserve">: KC. </s>
            <s xml:id="echoid-s3299" xml:space="preserve">KN.</s>
            <s xml:id="echoid-s3300" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s3301" xml:space="preserve">IV. </s>
            <s xml:id="echoid-s3302" xml:space="preserve">Corollarii loco notetur (ductâ CP) fore NH = NK;
              <lb/>
            </s>
            <s xml:id="echoid-s3303" xml:space="preserve">& </s>
            <s xml:id="echoid-s3304" xml:space="preserve">triangula HNK, NCP aſſimilari; </s>
            <s xml:id="echoid-s3305" xml:space="preserve">vel eſſe HK. </s>
            <s xml:id="echoid-s3306" xml:space="preserve">HN :</s>
            <s xml:id="echoid-s3307" xml:space="preserve">: NP. </s>
            <s xml:id="echoid-s3308" xml:space="preserve">
              <lb/>
            CN.</s>
            <s xml:id="echoid-s3309" xml:space="preserve"/>
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            <s xml:id="echoid-s3310" xml:space="preserve">V. </s>
            <s xml:id="echoid-s3311" xml:space="preserve">Porrò, conftantibus iiſdem, dico fore AC. </s>
            <s xml:id="echoid-s3312" xml:space="preserve">KC :</s>
            <s xml:id="echoid-s3313" xml:space="preserve">: ACq
              <lb/>
            - ANq . </s>
            <s xml:id="echoid-s3314" xml:space="preserve">CNq. </s>
            <s xml:id="echoid-s3315" xml:space="preserve">Nam eſt NP. </s>
            <s xml:id="echoid-s3316" xml:space="preserve">CN + AN. </s>
            <s xml:id="echoid-s3317" xml:space="preserve">CN = HK.
              <lb/>
            </s>
            <s xml:id="echoid-s3318" xml:space="preserve">HN + AN. </s>
            <s xml:id="echoid-s3319" xml:space="preserve">CN = HK x AN. </s>
            <s xml:id="echoid-s3320" xml:space="preserve">HN x CN = AN. </s>
            <s xml:id="echoid-s3321" xml:space="preserve"/>
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