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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[91.] Series nona.
Page: 333 (140)
[92.] Not.
Page: 333 (140)
[93.] Series decima.
Page: 334 (141)
[94.] Series undecima.
Page: 335 (142)
[95.] Not.
Page: 335 (142)
[96.] Series duodecima
Page: 336 (143)
[97.] Series decima tertia
Page: 336 (143)
[98.] Not.
Page: 336 (143)
[99.] Laus DEOO ptimo Maximo. FINIS.
Page: 340 (147)
[100.] ERRATA
Page: 341
[101.] Addenda Lectionibus Geometricis.
Page: 342 (149)
[102.] _Probl_. I.
Page: 342 (149)
[103.] _Probl_. II.
Page: 342 (149)
[104.] _Probl_. III.
Page: 342 (149)
[105.] Addenda Lectionibus Geometricis.
Page: 343 (150)
[106.] _Theor_. I.
Page: 343 (150)
[107.] _Theor_. II.
Page: 343 (150)
[108.] _Theor_. III.
Page: 343 (150)
[109.] _Theor_. IV.
Page: 344 (151)
[110.] _Theor_. V.
Page: 344 (151)
[111.] _Theor_. VI.
Page: 344 (151)
[112.] FINIS.
Page: 344 (151)
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        <div xml:id="echoid-div582" type="section" level="1" n="101">
          <head xml:id="echoid-head105" xml:space="preserve">Addenda Lectionibus Geometricis.</head>
          <p style="it">
            <s xml:id="echoid-s16484" xml:space="preserve">Vacuæ Pagellæ explendæ bæc adjici poſſunt: </s>
            <s xml:id="echoid-s16485" xml:space="preserve">υΠοραδικὰ vice,
              <lb/>
            animadverto potuiſſe ſecundo Appendiculæ tertiæ Lectio-
              <lb/>
            nis XII Problemati, pag. </s>
            <s xml:id="echoid-s16486" xml:space="preserve">122. </s>
            <s xml:id="echoid-s16487" xml:space="preserve">Corollaria quædam adponi
              <lb/>
            non injucunda, qualium adſcribam unum & </s>
            <s xml:id="echoid-s16488" xml:space="preserve">alterum.</s>
            <s xml:id="echoid-s16489" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div583" type="section" level="1" n="102">
          <head xml:id="echoid-head106" xml:space="preserve">_Probl_. I.</head>
          <p>
            <s xml:id="echoid-s16490" xml:space="preserve">DE tur linea quæpiam AMB (cujus axis AD, baſis DB)
              <lb/>
              <note position="right" xlink:label="note-0327-01" xlink:href="note-0327-01a" xml:space="preserve">Fig. 221.</note>
            curva AN E deſignetur talis, ut ductâ liberè rectà MN G
              <lb/>
            ad BD parallelâ, quæ ipſam AN E ſecet in N, ſit curva AN
              <lb/>
            æqualis ipſi GM .</s>
            <s xml:id="echoid-s16491" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s16492" xml:space="preserve">Curva AN E talis ſit ut ſi MT curvam AMB, & </s>
            <s xml:id="echoid-s16493" xml:space="preserve">NS cur-
              <lb/>
            vam ANE tangant, ſit SG. </s>
            <s xml:id="echoid-s16494" xml:space="preserve">GN :</s>
            <s xml:id="echoid-s16495" xml:space="preserve">: TG. </s>
            <s xml:id="echoid-s16496" xml:space="preserve">√ GM q - TG q,
              <lb/>
            ipſa ANE Propoſito faciet ſatis.</s>
            <s xml:id="echoid-s16497" xml:space="preserve"/>
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          <head xml:id="echoid-head107" xml:space="preserve">_Probl_. II.</head>
          <p>
            <s xml:id="echoid-s16498" xml:space="preserve">Iiſdem quoad cætera Suppoſitis, & </s>
            <s xml:id="echoid-s16499" xml:space="preserve">conſtitutis; </s>
            <s xml:id="echoid-s16500" xml:space="preserve">curva ANE
              <lb/>
            jam talis eſſe debeat, ut curva AN ſemper æquetur interceptæ rectæ
              <lb/>
            NM.</s>
            <s xml:id="echoid-s16501" xml:space="preserve"/>
          </p>
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            <s xml:id="echoid-s16502" xml:space="preserve">Curva ANE jam talis ſit, ut ſit SG. </s>
            <s xml:id="echoid-s16503" xml:space="preserve">GN :</s>
            <s xml:id="echoid-s16504" xml:space="preserve">: 2 TG x GM.
              <lb/>
            </s>
            <s xml:id="echoid-s16505" xml:space="preserve">GM q - TG q; </s>
            <s xml:id="echoid-s16506" xml:space="preserve">erit ANE curva quæ deſideratur.</s>
            <s xml:id="echoid-s16507" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div586" type="section" level="1" n="104">
          <head xml:id="echoid-head108" xml:space="preserve">_Probl_. III.</head>
          <p>
            <s xml:id="echoid-s16508" xml:space="preserve">Datur curva quæpiam DX X, cujus axis DA ; </s>
            <s xml:id="echoid-s16509" xml:space="preserve">reperiatur curva
              <lb/>
              <note position="right" xlink:label="note-0327-02" xlink:href="note-0327-02a" xml:space="preserve">Fig. 222.</note>
            AM B proprietate talis, ut ſi liberè ducatur recta GX M ad ipſam
              <lb/>
            AD perpendicularis, ponaturque SM T curvam AM tangere, ſit
              <lb/>
            MS æqualis ipſi GX .</s>
            <s xml:id="echoid-s16510" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s16511" xml:space="preserve">Liquetrationem TG ad TM (hoc eſt rationem GD ad MS, vel
              <lb/>
            GX ) dari; </s>
            <s xml:id="echoid-s16512" xml:space="preserve">adeoque rationem TG ad GM quoque dari.</s>
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