Barrow, Isaac, Lectiones opticae & geometricae : in quibus phaenomenon opticorum genuinae rationes investigantur, ac exponuntur: et generalia curvarum linearum symptomata declarantur

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        <div xml:id="echoid-div222" type="section" level="1" n="31">
          <pb o="44" file="0222" n="237" rhead=""/>
          <p>
            <s xml:id="echoid-s9703" xml:space="preserve">Cùm enim _circulus centro_ H per M deſcriptus _curvam_ intròrſum
              <lb/>
              <note position="left" xlink:label="note-0222-01" xlink:href="note-0222-01a" xml:space="preserve">Fig. 37.</note>
            tangat, etiam magìs _circulus centro_ I _deſcriptus_ introrſum tangat. </s>
            <s xml:id="echoid-s9704" xml:space="preserve">un-
              <lb/>
            de liquet.</s>
            <s xml:id="echoid-s9705" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s9706" xml:space="preserve">XXIV. </s>
            <s xml:id="echoid-s9707" xml:space="preserve">Etiam ſi HM ſit incid
              <unsure/>
            entium maxima, & </s>
            <s xml:id="echoid-s9708" xml:space="preserve">extra ipſam accipiatur
              <lb/>
            punctum quodpiam I, erit IM maxima.</s>
            <s xml:id="echoid-s9709" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s9710" xml:space="preserve">Cùm enim _Circulus Centro_ H _per_ M _deſcriptus curvam_ extrorſum
              <lb/>
            contingat, etiam potiori jure _Circulus Centro_ I _per_ M _deſcriptus eandem_
              <lb/>
              <note position="left" xlink:label="note-0222-02" xlink:href="note-0222-02a" xml:space="preserve">_Apoll. V._ 39.</note>
            _exirorſus continget_. </s>
            <s xml:id="echoid-s9711" xml:space="preserve">unde conſtat _Propoſitum_.</s>
            <s xml:id="echoid-s9712" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s9713" xml:space="preserve">_Cæterùm_ minimarum & </s>
            <s xml:id="echoid-s9714" xml:space="preserve">maximarum propior determinatio pendet
              <lb/>
            ex ſpeciali curvæ natura.</s>
            <s xml:id="echoid-s9715" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s9716" xml:space="preserve">De hac autem Tabula jam manum auferemus; </s>
            <s xml:id="echoid-s9717" xml:space="preserve">nec enim impræſen-
              <lb/>
            tiarum hujuſmodi pleraq; </s>
            <s xml:id="echoid-s9718" xml:space="preserve">complecti profitemur. </s>
            <s xml:id="echoid-s9719" xml:space="preserve">Inſtituto noſtro ſuffi-
              <lb/>
            cit hactenus generalis cujuſdam curvarum proprietates comprehenden-
              <lb/>
            tis Doctrinæ _ſpecimen_ exhibuiſſe: </s>
            <s xml:id="echoid-s9720" xml:space="preserve">qualis certè, plenior & </s>
            <s xml:id="echoid-s9721" xml:space="preserve">perfectior,
              <lb/>
            _baud exiguum videtur rebus Geometricis_ (quæ nempe circa _curvaruns
              <unsure/>
            _
              <lb/>
            _proprietates & </s>
            <s xml:id="echoid-s9722" xml:space="preserve">affectiones_ plurimùm occupàntur) _compendiuns allat@-_
              <lb/>
            _ra_. </s>
            <s xml:id="echoid-s9723" xml:space="preserve">Nè dicam culpæ agnatum videri, _Logicæ{q́ue}_ Regulis haud admodum
              <lb/>
            congruere, quæ toti cuipiam generi conveniunt, & </s>
            <s xml:id="echoid-s9724" xml:space="preserve">quæ de communi
              <lb/>
            quadam origine manant, ea quibuſdam partibus adſcribere, vel ex an-
              <lb/>
            guſtiorifonte derivare. </s>
            <s xml:id="echoid-s9725" xml:space="preserve">_Plura_ forſan, & </s>
            <s xml:id="echoid-s9726" xml:space="preserve">_abſtruſiora_ proferemus ali-
              <lb/>
            quando. </s>
            <s xml:id="echoid-s9727" xml:space="preserve">Nunc his ſuperſedemus.</s>
            <s xml:id="echoid-s9728" xml:space="preserve"/>
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