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

Table of contents

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[Item 1.]
[2.] Imprimatur,
[3.] LECTIONES _OPTICÆ & GEOMETRICÆ:_ In quibus PHÆNOMENωN OPTICORUM Genuinæ _Rationes_ inveſtigantur, ac exponuntur: ET _Generalia_ Curvarum Linearum _Symptomata declarantur_. Auctore Isaaco Barrow, Collegii _S S. Trinitatis_ in Academia _Cantab._ Præfecto, Et _SOCIETATIS REGIÆ_ Sodale.
[4.] LONDINI, Typis _Guilielmi Godbid_, & proſtant venales apud _Robertum Scott_, in vico Little-Britain. 1674.
[5.] SPECTATISSIMIS VIRIS Roberto Raworth & Thomæ Buck ARMIGERIS;
[6.] Iſaac Barrow
[7.] Epistola ad LECTOREM.
[8.] Epiſtola; in qua Operis hujus Argumen-tum, & ſcopus brevitèr exponuntur.
[9.] Lect. I.
[10.] Lect. II.
[11.] Lect. III.
[12.] _Corol_. 1. Ang. _a_ BG. ang. _a_ BP > ang. δ BH. ang. δ BP. 2. Ang. _a_ BG. ang. PBG > ang. δ BH. PBH.
[13.] Lect. IV.
[14.] Lect.V.
[15.] Lect. VI.
[16.] Lect. VI I.
[17.] Lect. VIII.
[18.] Lect. IX.
[19.] Lect. X.
[20.] Lect. XIV.
[21.] Lect. XV.
[22.] APPENDICVLA.
[23.] Lect. XVI.
[24.] Lect. XVII.
[25.] Lect. XVIII.
[26.] ERRATA.
[27.] Benevolo Lectori.
[28.] Lectio I.
[29.] Lect. II.
[30.] Lect. III.
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            <emph style="sc">Lect</emph>
          . IV.</head>
          <p>
            <s xml:id="echoid-s1424" xml:space="preserve">I. </s>
            <s xml:id="echoid-s1425" xml:space="preserve">AD ea jam accedimus quæ radiis obveniunt ad planam ſuperfici-
              <lb/>
            em, vel ad rectam lineam, refractis. </s>
            <s xml:id="echoid-s1426" xml:space="preserve">Quod argumentum eo
              <lb/>
            diligentiùs proſequemur, quia nondum pro merito ſuo videtur ſatis ex-
              <lb/>
            cultum; </s>
            <s xml:id="echoid-s1427" xml:space="preserve">ut & </s>
            <s xml:id="echoid-s1428" xml:space="preserve">quoniam in eo tractando methodum præſtituemus no-
              <lb/>
            bis, & </s>
            <s xml:id="echoid-s1429" xml:space="preserve">quaſi normam in ſequentibus obſervandam. </s>
            <s xml:id="echoid-s1430" xml:space="preserve">Ad rem.</s>
            <s xml:id="echoid-s1431" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1432" xml:space="preserve">II. </s>
            <s xml:id="echoid-s1433" xml:space="preserve">Parallelorum rectæ lineæ (EF) incidentium radiorum (AB,
              <lb/>
              <note position="right" xlink:label="note-0049-01" xlink:href="note-0049-01a" xml:space="preserve">Fig. 31.</note>
            MN) refracti (B _a_, N μ) ſunt etiam ſibi paralleli. </s>
            <s xml:id="echoid-s1434" xml:space="preserve">Nam quoniam
              <lb/>
            AB, MN ſunt, ex hypotheſi, paralleli, erunt anguli ABE, MNE
              <lb/>
            pares. </s>
            <s xml:id="echoid-s1435" xml:space="preserve">Itaque refractos habent angulos pares; </s>
            <s xml:id="echoid-s1436" xml:space="preserve">horúmque comple-
              <lb/>
            menta (ſcilicet anguli _a_ BF, μ NF) æquantur, quare liquet refractos
              <lb/>
            B _a_, N μ ſibi parallelos eſſe.</s>
            <s xml:id="echoid-s1437" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1438" xml:space="preserve">III. </s>
            <s xml:id="echoid-s1439" xml:space="preserve">Hinc infinitè diſtantis, hoc eſt parallelos radios emittentis (in-
              <lb/>
            finitam ad ſenſum diſtantiam intelligo, qualis eſt quoad hoc ſtellæ cu-
              <lb/>
            juſpiam) puncti locus apparens, aut imago per hujuſmodi reſractio-
              <lb/>
            nem eſſecta infinitè quoque diſtat; </s>
            <s xml:id="echoid-s1440" xml:space="preserve">quippe cùm hæc etiam per radios
              <lb/>
            parallelos adſpectetur. </s>
            <s xml:id="echoid-s1441" xml:space="preserve">Itaque ſitus ejus reſpectu visûs ubivis poſiti fa-
              <lb/>
            cilè determinatur. </s>
            <s xml:id="echoid-s1442" xml:space="preserve">Sit oculi puta centrum O; </s>
            <s xml:id="echoid-s1443" xml:space="preserve">& </s>
            <s xml:id="echoid-s1444" xml:space="preserve">A punctum radians
              <lb/>
            immenſè diſſitum; </s>
            <s xml:id="echoid-s1445" xml:space="preserve">connexáque AO refringentem EF ſecet in G;
              <lb/>
            </s>
            <s xml:id="echoid-s1446" xml:space="preserve">ſitque radii AG reſractus G _a_;</s>
            <s xml:id="echoid-s1447" xml:space="preserve">; per O verò ducatur OBZ ad _a_ G
              <lb/>
              <note position="right" xlink:label="note-0049-02" xlink:href="note-0049-02a" xml:space="preserve">Fig. 32.</note>
            parallela; </s>
            <s xml:id="echoid-s1448" xml:space="preserve">in hac ad infinitum protenſa (velut ad Z) apparebit pun-
              <lb/>
            ctum A. </s>
            <s xml:id="echoid-s1449" xml:space="preserve">Cùm enim radii AG, AB ſint (ad ſenſum) paralleli, eti-
              <lb/>
            am ipſorum refracti erunt paralleli. </s>
            <s xml:id="echoid-s1450" xml:space="preserve">Quare cùm G _a_ ſit refractus ipſius
              <lb/>
            AG, erit BO, ad G _a_ parallela, etiam radii AB refractus. </s>
            <s xml:id="echoid-s1451" xml:space="preserve">Ergò
              <lb/>
            punctum A in recta OB protenſa apparebit. </s>
            <s xml:id="echoid-s1452" xml:space="preserve">Quoad hujuſmodi radi-
              <lb/>
            ationem nil ſuccurrit aliud; </s>
            <s xml:id="echoid-s1453" xml:space="preserve">itaque de propinquo radiantis puncti ſym-
              <lb/>
            ptomata contemplemur.</s>
            <s xml:id="echoid-s1454" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1455" xml:space="preserve">IV. </s>
            <s xml:id="echoid-s1456" xml:space="preserve">Sit recta AB rectæ refringenti EF perpendicularis; </s>
            <s xml:id="echoid-s1457" xml:space="preserve">in qua
              <lb/>
              <note position="right" xlink:label="note-0049-03" xlink:href="note-0049-03a" xml:space="preserve">Fig. 33.</note>
            ſit punctum radians A, ab EF haud ad ſenſum longè remotum; </s>
            <s xml:id="echoid-s1458" xml:space="preserve">ab </s>
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