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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[61.] _Probl_. IV.
[62.] _Probl_. V.
[63.] _Probl_. VI.
[64.] _Probl_. VII
[65.] _Probl_. VIII.
[66.] _Probl_. IX.
[67.] _Probl_. X.
[68.] _Corol. Theor_. I.
[69.] _Theor_. II.
[70.] _Theor_. III.
[71.] _Theor_. IV.
[72.] _Theor_. V.
[73.] _Theor_. VI.
[74.] _Theor_. VII.
[75.] Lect. XIII.
[76.] Æquationum Series prima.
[77.] _Notetur autem_,
[78.] Series ſecunda.
[79.] Not.
[80.] Series tertia.
[81.] Not.
[82.] Not.
[83.] Series quarta.
[84.] Not.
[85.] Series quinta.
[86.] Series ſexta.
[87.] Not.
[88.] Series ſeptima.
[89.] Not.
[90.] Series octava.
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          <head xml:id="echoid-head76" xml:space="preserve">_Theor_. VI.</head>
          <p>
            <s xml:id="echoid-s15219" xml:space="preserve">Sit rurſus AMB curva quævis (cujus axis AD, baſis DB) & </s>
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              <lb/>
              <note position="left" xlink:label="note-0308-01" xlink:href="note-0308-01a" xml:space="preserve">Fig. 204.</note>
            curvæ EXK, HZO ita verſus ſe, & </s>
            <s xml:id="echoid-s15221" xml:space="preserve">axes AD, αβ relatæ, ut arbi-
              <lb/>
            trariè in curva AMB accepto puncto M, & </s>
            <s xml:id="echoid-s15222" xml:space="preserve">ductâ MPX ad AD per-
              <lb/>
            pendiculari, ſumptâ αμ = arc AM, ductâ μZ ad αβ perpendiculari,
              <lb/>
            poſitóque rectam TM curvam AMB tangere; </s>
            <s xml:id="echoid-s15223" xml:space="preserve">ſit TP. </s>
            <s xml:id="echoid-s15224" xml:space="preserve">TM:</s>
            <s xml:id="echoid-s15225" xml:space="preserve">: μ Z.
              <lb/>
            </s>
            <s xml:id="echoid-s15226" xml:space="preserve">PX; </s>
            <s xml:id="echoid-s15227" xml:space="preserve">erunt ſpatia ADKE, α β OH æqualia ſibi.</s>
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        <div xml:id="echoid-div537" type="section" level="1" n="74">
          <head xml:id="echoid-head77" xml:space="preserve">_Theor_. VII.</head>
          <p>
            <s xml:id="echoid-s15229" xml:space="preserve">Sit ſpatium quodpiam
              <unsure/>
            ADB (rectis DA, DB, & </s>
            <s xml:id="echoid-s15230" xml:space="preserve">curvâ AMB
              <lb/>
              <note position="left" xlink:label="note-0308-02" xlink:href="note-0308-02a" xml:space="preserve">Fig. 204,
                <lb/>
              205.</note>
            definitum) ſint item curvæ EXK, HZO ità relatæ, ut ſi quodvis
              <lb/>
            capiatur punctum M in curva AMB, projiciatur recta DMX, ſuma-
              <lb/>
            tur αμ = arc AM; </s>
            <s xml:id="echoid-s15231" xml:space="preserve">ducatur μZ ad rectam αβ perpendicularis; </s>
            <s xml:id="echoid-s15232" xml:space="preserve">ſit
              <lb/>
            DT perpendicularis ipſi DM; </s>
            <s xml:id="echoid-s15233" xml:space="preserve">recta MT curvam AMB tangat; </s>
            <s xml:id="echoid-s15234" xml:space="preserve">ſit
              <lb/>
            TD. </s>
            <s xml:id="echoid-s15235" xml:space="preserve">TM:</s>
            <s xml:id="echoid-s15236" xml:space="preserve">: DM x μ Z. </s>
            <s xml:id="echoid-s15237" xml:space="preserve">DX q; </s>
            <s xml:id="echoid-s15238" xml:space="preserve">erit ſpatium αβ OH ſpatii EDK
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            duplum.</s>
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            <s xml:id="echoid-s15240" xml:space="preserve">Sed horum hic eſto terminus.</s>
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