Gravesande, Willem Jacob 's, Physices elementa mathematica, experimentis confirmata sive introductio ad philosophiam Newtonianam; Tom. 1

Table of contents

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[611.] Definitio 14.
Page: 696 ((110))
[612.] Definitio 15.
Page: 696 ((110))
[613.] Definitio 16.
Page: 696 ((110))
[614.] CAPUT II. De motu apparenti.
Page: 700 ((114))
[615.] CAPUT III. De Phœnomenis Solis ex motu Telluris in orbitâ.
Page: 706 ((117))
[616.] Definitio 1.
Page: 707 ((118))
[617.] Definitio 2.
Page: 707 ((118))
[618.] Definitio 3.
Page: 707 ((118))
[619.] Definitio 4.
Page: 708 ((119))
[620.] Definitio 5.
Page: 708 ((119))
[621.] Definitio 6.
Page: 708 ((119))
[622.] Definitio 7.
Page: 708 ((119))
[623.] CAPUT IV. De Phænomenis Planetarum inferiorum, ex horum, & Telluris, motibus in orbitis ſuis.
Page: 708 ((119))
[624.] Definitio 1.
Page: 708 ((119))
[625.] CAPUT V. De Pbænomenis Planetarum ſuperiorum, ex horum & Telluris motibus in orbitis ſuis.
Page: 711 (122)
[626.] CAPUT VI. De Phænomenis Satellitum, ex motu horum in orbi-tis. Vbi de Eclipſibus Solis & Lunæ.
Page: 712 (123)
[627.] Definitio i.
Page: 713 (124)
[628.] Definitio 2.
Page: 713 (124)
[629.] Definitio 3.
Page: 713 (124)
[630.] Definitio 4.
Page: 717 (125)
[631.] Definitio 5.
Page: 717 (125)
[632.] Definitio 6.
Page: 717 (125)
[633.] Definitio 7.
Page: 717 (125)
[634.] Definitio 8.
Page: 717 (125)
[635.] Definitio 9.
Page: 719 (127)
[636.] CAPUT VII. De Pbænomenis ex motu Solis, Planetarum, & Lunæ, circa axes.
Page: 720 (128)
[637.] Definitio 1.
Page: 724 ((129))
[638.] Definitio 2.
Page: 724 ((129))
[639.] Definitio 3.
Page: 724 ((129))
[640.] Definitio 4.
Page: 724 ((129))
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              <pb o="(35)" file="0529" n="582" rhead="MATHEMATICA. LIB. III. CAP. VIII."/>
            trent, & </s>
            <s xml:id="echoid-s13497" xml:space="preserve">horum focus imaginarius detur ad diſtantiam
              <lb/>
            quamcunque in aquâ.</s>
            <s xml:id="echoid-s13498" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s13499" xml:space="preserve">Ex hucuſque dictis, quæ in motu radiorum contrario ob
              <lb/>
              <note position="right" xlink:label="note-0529-01" xlink:href="note-0529-01a" xml:space="preserve">668.</note>
            tinent facile determinamus ; </s>
            <s xml:id="echoid-s13500" xml:space="preserve">id eſt, motum radiorum
              <note symbol="*" position="right" xlink:label="note-0529-02" xlink:href="note-0529-02a" xml:space="preserve">626.</note>
            medio denſiori in rarius, manente ſuperficie convexâ ad par-
              <lb/>
            tem medii rarioris.</s>
            <s xml:id="echoid-s13501" xml:space="preserve"/>
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          <p style="it">
            <s xml:id="echoid-s13502" xml:space="preserve">Radii paralleli poſt refractionem in focum concurrunt .</s>
            <s xml:id="echoid-s13503" xml:space="preserve"/>
          </p>
          <note symbol="*" position="right" xml:space="preserve">664.</note>
          <p style="it">
            <s xml:id="echoid-s13504" xml:space="preserve">Etiam in punctum aut focum conveniunt radii ex puncto
              <lb/>
              <note position="right" xlink:label="note-0529-04" xlink:href="note-0529-04a" xml:space="preserve">669.</note>
            radiante manantes, & </s>
            <s xml:id="echoid-s13505" xml:space="preserve">accedente hoc recedit illud, &</s>
            <s xml:id="echoid-s13506" xml:space="preserve">
              <note symbol="*" position="right" xlink:label="note-0529-05" xlink:href="note-0529-05a" xml:space="preserve">661.</note>
            contra .</s>
            <s xml:id="echoid-s13507" xml:space="preserve"/>
          </p>
          <note symbol="*" position="right" xml:space="preserve">663.</note>
          <p>
            <s xml:id="echoid-s13508" xml:space="preserve">Ita poteſt diſponi punctum radians, ut focus ad diſtantiam
              <lb/>
              <note position="right" xlink:label="note-0529-07" xlink:href="note-0529-07a" xml:space="preserve">670.</note>
            infinitam detur, id eſt, ut radii refracti paralleli ſint. </s>
            <s xml:id="echoid-s13509" xml:space="preserve">.</s>
            <s xml:id="echoid-s13510" xml:space="preserve"/>
          </p>
          <note symbol="*" position="right" xml:space="preserve">660.</note>
          <p style="it">
            <s xml:id="echoid-s13511" xml:space="preserve">Si ulterius accedat punctum radians, refracti divergen-
              <lb/>
              <note position="right" xlink:label="note-0529-09" xlink:href="note-0529-09a" xml:space="preserve">671.</note>
            tes ſunt; </s>
            <s xml:id="echoid-s13512" xml:space="preserve">minus divergentes quam incidentes, ſi punctum
              <lb/>
            radians magis diſtet à ſuperficie quàm centrum .</s>
            <s xml:id="echoid-s13513" xml:space="preserve"/>
          </p>
          <note symbol="*" position="right" xml:space="preserve">667.</note>
          <p style="it">
            <s xml:id="echoid-s13514" xml:space="preserve">Si autem punctum radians detur inter ſuperficiem & </s>
            <s xml:id="echoid-s13515" xml:space="preserve">cen-
              <lb/>
              <note position="right" xlink:label="note-0529-11" xlink:href="note-0529-11a" xml:space="preserve">672.</note>
            trum, radii refracti magis divergentes erunt .</s>
            <s xml:id="echoid-s13516" xml:space="preserve"/>
          </p>
          <note symbol="*" position="right" xml:space="preserve">667.</note>
          <p>
            <s xml:id="echoid-s13517" xml:space="preserve">Si radii fuerint convergentes, magis in omni caſu fiunt
              <lb/>
              <note position="right" xlink:label="note-0529-13" xlink:href="note-0529-13a" xml:space="preserve">673.</note>
            convergentes, quod ex refractione a perpendiculari
              <note symbol="*" position="right" xlink:label="note-0529-14" xlink:href="note-0529-14a" xml:space="preserve">625.</note>
            tur, & </s>
            <s xml:id="echoid-s13518" xml:space="preserve">etiam deducitur ex n. </s>
            <s xml:id="echoid-s13519" xml:space="preserve">665.</s>
            <s xml:id="echoid-s13520" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s13521" xml:space="preserve">Ponamus iterum radios ex medio rariori Z in denſius X
              <lb/>
              <note position="right" xlink:label="note-0529-15" xlink:href="note-0529-15a" xml:space="preserve">674.</note>
            intrare, cavitatem autem ſuperficiei ſphæricæ ES, media ſe-
              <lb/>
              <note position="right" xlink:label="note-0529-16" xlink:href="note-0529-16a" xml:space="preserve">TAB. VII.
                <lb/>
              fig. 3.</note>
            parantis, dari ad partem medii rarioris. </s>
            <s xml:id="echoid-s13522" xml:space="preserve">Si radii fuerint
              <lb/>
            paralleli, ut BO, A n; </s>
            <s xml:id="echoid-s13523" xml:space="preserve">BO, qui per centrum C ſuperficiei
              <lb/>
            ES tranſit, nullam patitur refractionem; </s>
            <s xml:id="echoid-s13524" xml:space="preserve">A n verò ad per-
              <lb/>
            pendicularem C p per n G refringitur , & </s>
            <s xml:id="echoid-s13525" xml:space="preserve">verſus Z
              <note symbol="*" position="right" xlink:label="note-0529-17" xlink:href="note-0529-17a" xml:space="preserve">624.</note>
            nuatus interſecat BCO in f, quod etiam reſpectu radio-
              <lb/>
            rum inter BO & </s>
            <s xml:id="echoid-s13526" xml:space="preserve">A n obtinet ; </s>
            <s xml:id="echoid-s13527" xml:space="preserve">fiunt ergo hi radii
              <note symbol="*" position="right" xlink:label="note-0529-18" xlink:href="note-0529-18a" xml:space="preserve">662.</note>
            gentes, hàbentes focum imaginarium f in medio rariori.</s>
            <s xml:id="echoid-s13528" xml:space="preserve"/>
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        <div xml:id="echoid-div2010" type="section" level="1" n="497">
          <head xml:id="echoid-head663" xml:space="preserve">
            <emph style="sc">Experimentum</emph>
          6.</head>
          <p>
            <s xml:id="echoid-s13529" xml:space="preserve">In eo ſolo experimentum hoc a primo hujus capitis dif-
              <lb/>
              <note position="right" xlink:label="note-0529-19" xlink:href="note-0529-19a" xml:space="preserve">TAB. VII.
                <lb/>
              fig. 4.</note>
            fert, quod vitrum V, habeat cavitatem ad partem aëris, de
              <lb/>
            cætero pixis P à prima pixide non differt; </s>
            <s xml:id="echoid-s13530" xml:space="preserve">In hoc caſu ra-
              <lb/>
            dii, ex quibus radius cylindricus conſtat, in aquâ diſpergun-
              <lb/>
            tur.</s>
            <s xml:id="echoid-s13531" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s13532" xml:space="preserve">Si à puncto radiante in CB ultra C, radii emanant, mi-
              <lb/>
              <note position="right" xlink:label="note-0529-20" xlink:href="note-0529-20a" xml:space="preserve">675.</note>
            nuitur angulus incidentiæ A n C, & </s>
            <s xml:id="echoid-s13533" xml:space="preserve">idcirco etiam angulus
              <lb/>
              <note position="right" xlink:label="note-0529-21" xlink:href="note-0529-21a" xml:space="preserve">TAB. VII.
                <lb/>
              fig. 3.</note>
            </s>
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