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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[31.] Lect. IV.
Page: 222 (29)
[32.] Lect. VII.
Page: 249 (56)
[33.] Lect. VIII.
Page: 256 (63)
[34.] Lect. IX.
Page: 263 (70)
[35.] Lect. X.
Page: 268 (75)
[36.] Exemp. I.
Page: 274 (81)
[37.] _Exemp_. II.
Page: 275 (82)
[38.] _Exemp_. III
Page: 275 (82)
[39.] Exemp. IV.
Page: 276 (83)
[40.] Eæemp. V.
Page: 277 (84)
[41.] Lect. XI.
Page: 278 (85)
[42.] APPENDICUL A.
Page: 287 (94)
[43.] Lect. XII.
Page: 298 (105)
[44.] APPENDICULA 1.
Page: 303 (110)
[45.] Præparatio Communis.
Page: 303 (110)
[46.] APPENDICULA 2.
Page: 308 (115)
[47.] Conicorum Superſicies dimetiendi Metbodus.
Page: 310 (117)
[48.] Exemplum.
Page: 311 (118)
[49.] Prop. 1.
Page: 312 (119)
[50.] Prop. 2.
Page: 312 (119)
[51.] Prop. 3.
Page: 313 (120)
[52.] Prop. 4.
Page: 313 (120)
[53.] APPENDICULA 3.
Page: 314 (121)
[54.] Problema I.
Page: 314 (121)
[55.] Exemp. I.
Page: 314 (121)
[56.] Exemp. II.
Page: 315 (122)
[57.] Probl. II.
Page: 315 (122)
[58.] Exemp. I.
Page: 315 (122)
[59.] _Exemp_. II.
Page: 316 (123)
[60.] _Probl_. III.
Page: 316 (123)
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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,
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            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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Impressum