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

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        <div xml:id="echoid-div2166" type="section" level="1" n="529">
          <p>
            <s xml:id="echoid-s14453" xml:space="preserve">
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            cie reflectio neceſſario irregularis eſt; </s>
            <s xml:id="echoid-s14454" xml:space="preserve">ſi autem ad exiguam
              <lb/>
            à ſuperficie diſtantiam reflexionem fieri concipiamus, minu-
              <lb/>
            untur, & </s>
            <s xml:id="echoid-s14455" xml:space="preserve">ferè in totum tolluntur irregularitates, ut atten-
              <lb/>
            dendo facilè liquet.</s>
            <s xml:id="echoid-s14456" xml:space="preserve"/>
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        <div xml:id="echoid-div2174" type="section" level="1" n="530">
          <head xml:id="echoid-head700" xml:space="preserve">CAPUT XIV.</head>
          <head xml:id="echoid-head701" style="it" xml:space="preserve">De Speculis planis.</head>
          <p>
            <s xml:id="echoid-s14457" xml:space="preserve">SIt bc ſuperficies ſpeculi plani; </s>
            <s xml:id="echoid-s14458" xml:space="preserve">A punctum radians. </s>
            <s xml:id="echoid-s14459" xml:space="preserve">Con-
              <lb/>
              <note position="left" xlink:label="note-0568-01" xlink:href="note-0568-01a" xml:space="preserve">799.</note>
            tinuetur planum ſpeculi, & </s>
            <s xml:id="echoid-s14460" xml:space="preserve">ad hoc à radiante A dimitta-
              <lb/>
            tur perpendicularis AC; </s>
            <s xml:id="echoid-s14461" xml:space="preserve">ſi continuetur hæc, & </s>
            <s xml:id="echoid-s14462" xml:space="preserve">fiat C a
              <lb/>
            æqualis CA, a erit focus imaginarius reflexorum radiorum
              <lb/>
            ex A procedentium. </s>
            <s xml:id="echoid-s14463" xml:space="preserve">Sit A b radius incidens; </s>
            <s xml:id="echoid-s14464" xml:space="preserve">b f radius re-
              <lb/>
            flexus; </s>
            <s xml:id="echoid-s14465" xml:space="preserve">continuetur hoc ultra ſpeculum; </s>
            <s xml:id="echoid-s14466" xml:space="preserve">propter angulos in-
              <lb/>
            cidentiæ & </s>
            <s xml:id="echoid-s14467" xml:space="preserve">reflexionis æquales inter ſe , æquantur
              <note symbol="*" position="left" xlink:label="note-0568-02" xlink:href="note-0568-02a" xml:space="preserve">384.</note>
            horum complementa anguli A b C, f b d; </s>
            <s xml:id="echoid-s14468" xml:space="preserve">huic æqualis
              <lb/>
            eſt oppoſitus ad verticem ab C: </s>
            <s xml:id="echoid-s14469" xml:space="preserve">Triangula A b C, ab C
              <lb/>
            rectangula habent latus commune C b & </s>
            <s xml:id="echoid-s14470" xml:space="preserve">angulos æquales
              <lb/>
            C b a, C b A; </s>
            <s xml:id="echoid-s14471" xml:space="preserve">in omnibus ergo conveniunt, & </s>
            <s xml:id="echoid-s14472" xml:space="preserve">ſunt æ-
              <lb/>
            quales inter ſe CA & </s>
            <s xml:id="echoid-s14473" xml:space="preserve">C a: </s>
            <s xml:id="echoid-s14474" xml:space="preserve">quæ demonſtratio omnibus a-
              <lb/>
            liis radiis, ex A profluentibus, competit, in quocunque
              <lb/>
            plano perpendiculari ad planum ſpeculi concipiantur. </s>
            <s xml:id="echoid-s14475" xml:space="preserve">ld-
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            circo ubicunque oculus detur, ſi ad hunc radii reflexi per-
              <lb/>
            veniant, oculum intrabunt quaſi ex a procederent; </s>
            <s xml:id="echoid-s14476" xml:space="preserve">& </s>
            <s xml:id="echoid-s14477" xml:space="preserve">in hoc
              <lb/>
            puncto apparebit punctum A ; </s>
            <s xml:id="echoid-s14478" xml:space="preserve">hujus autem puncti
              <note position="left" xlink:label="note-0568-03" xlink:href="note-0568-03a" xml:space="preserve">800.</note>
            rentia eundem ſitum habet reſpectu ſpeculi, ad partem poſti-
              <lb/>
              <note symbol="*" position="left" xlink:label="note-0568-04" xlink:href="note-0568-04a" xml:space="preserve">737.</note>
            cam, quâm habet ipſum punctum radians ad partem anticam.</s>
            <s xml:id="echoid-s14479" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s14480" xml:space="preserve">Quod ſi applicetur ad ſingula puncta objecti, patebit, ob-
              <lb/>
              <note position="left" xlink:label="note-0568-05" xlink:href="note-0568-05a" xml:space="preserve">801.</note>
            jectum poſt ſpeculum apparêre, in eo ſitu, in quo reverâ da-
              <lb/>
            tur ante ſpeculum.</s>
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        <div xml:id="echoid-div2177" type="section" level="1" n="531">
          <head xml:id="echoid-head702" xml:space="preserve">CAPUT XV.</head>
          <head xml:id="echoid-head703" style="it" xml:space="preserve">De Speculis ſphæricis.</head>
          <p>
            <s xml:id="echoid-s14482" xml:space="preserve">OMnis ſuperficies ſphærica conſiderari poteſt, quaſi for-
              <lb/>
            mata ex innumeris ſuperficiebus planis minimis; </s>
            <s xml:id="echoid-s14483" xml:space="preserve">pla-
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            numque, ſphæram in puncto quocunque tangens, eſt quaſi
              <lb/>
            continuatio talis plani exigui.</s>
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