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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          <head xml:id="echoid-head33" xml:space="preserve">
            <emph style="sc">Lect</emph>
          . III.</head>
          <p>
            <s xml:id="echoid-s8873" xml:space="preserve">Q Uomodo per _motus ſimplices progreſſivum, & </s>
            <s xml:id="echoid-s8874" xml:space="preserve">converſivum_
              <lb/>
            _ffectæ concipiantur magnitudines, & </s>
            <s xml:id="echoid-s8875" xml:space="preserve">qualia generationes iſtas_
              <lb/>
            _conſequuntur ſymptomata_ (nonnulla ſaltem præcipua) _con-_
              <lb/>
            _niſi ſumus exponere ad compoſitos nunc, & </s>
            <s xml:id="echoid-s8876" xml:space="preserve">concurrentes,_
              <lb/>
            _eidem propoſito ſervientes, motns accingimur;_ </s>
            <s xml:id="echoid-s8877" xml:space="preserve">quorum in effectis
              <lb/>
            diſcernendis velocitates, ſecundum quas ſimplices peraguntur motus,
              <lb/>
            omnino, vel cum primis conſiderandæ ſunt; </s>
            <s xml:id="echoid-s8878" xml:space="preserve">quarum in generatione
              <lb/>
            per motus ſimplices nulla prorſus habetur ratio. </s>
            <s xml:id="echoid-s8879" xml:space="preserve">Per eundem enim
              <lb/>
            motum ſimplicem ſeu velocior is ſit, ſeu tardior eadem magnitudo,
              <lb/>
            quamvìs non eodem temporis intervallo, producitur; </s>
            <s xml:id="echoid-s8880" xml:space="preserve">idem nempe
              <lb/>
            _circulus_ ex ejuſdem rectæ circa punctum in ea fixum, _eadem Sphæra_
              <lb/>
            ex Semicirculi circa _diametrum_ rotatu; </s>
            <s xml:id="echoid-s8881" xml:space="preserve">quamvìs ut hæc fiant eò ma-
              <lb/>
            gìs awt minus expectandum ſit, quo ſegnior aut citatior ſupponitur ea
              <lb/>
            progenerans motus. </s>
            <s xml:id="echoid-s8882" xml:space="preserve">Verùm in generatione per motus compoſitos
              <lb/>
            iiſdem manentibus lationis modis, prout unius aut plurium variatur
              <lb/>
            velocitas, nedum ſpecie, ſed etiam quantitate diverſæ magnitudines
              <lb/>
            emergere ſolent, poſitione ſaltem perpetuò differentes. </s>
            <s xml:id="echoid-s8883" xml:space="preserve">Ut ſi recta
              <lb/>
              <note position="left" xlink:label="note-0202-01" xlink:href="note-0202-01a" xml:space="preserve">Fig. 13.</note>
            AB per rectam AC parallelo deferatur æquabili motu; </s>
            <s xml:id="echoid-s8884" xml:space="preserve">& </s>
            <s xml:id="echoid-s8885" xml:space="preserve">ſimul
              <lb/>
            punctum M in AB deſcendat uniformiter; </s>
            <s xml:id="echoid-s8886" xml:space="preserve">vel ſimulrecta AC pa-
              <lb/>
            rallelo quoque uniformi motu deſcendens ipſam AB promotam inter-
              <lb/>
            ſecet in M; </s>
            <s xml:id="echoid-s8887" xml:space="preserve">ex ejuſmodi motuum compoſitione vel concurſu produ-
              <lb/>
            cetur recta linea AM. </s>
            <s xml:id="echoid-s8888" xml:space="preserve">Quòd ſi eodem, etiam quoad velocitatem
              <lb/>
            manente motu rectæ AB, immutetur in velocitate motus uniformis
              <lb/>
            puncti M, vel rectæ AC, ità quidem punctum M jam eodem tem-
              <lb/>
            pore pervenerit ad μ, vel AC ſecet ipſam AB in μ, deſcribetur
              <lb/>
            hoc motu alia recta A μ à priore AM poſitione diverſa. </s>
            <s xml:id="echoid-s8889" xml:space="preserve">Sin verò,
              <lb/>
            manente rurſus eodem motu rectæ AB, pro motu puncti M, vel
              <lb/>
            rectæ AC uniformi ſubſtituatur motus, quem vocant, æqualiter
              <lb/>
            acceleratus, ex ejuſmodi compoſitione, vel concurſu fiet </s>
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