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-div215" type="section" level="1" n="28">
          <head xml:id="echoid-head31" xml:space="preserve">Lectio I.</head>
          <p>
            <s xml:id="echoid-s8251" xml:space="preserve">NOvum jam ingredior dicendi campum, amæniorem ſanè
              <lb/>
            neſcio vel feraciorem, uberrimâ varietate confertum, eó-
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            que delectabilem; </s>
            <s xml:id="echoid-s8252" xml:space="preserve">& </s>
            <s xml:id="echoid-s8253" xml:space="preserve">quia primas fermè _Mathematicarum_
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            _hypotheſium origines_ recludit (è quibus nempe _magnitudinum_
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            _cùm deſinitiones effor mantur; </s>
            <s xml:id="echoid-s8254" xml:space="preserve">tum preprietates emer gunt_) neceſſariò
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            perquam utilem. </s>
            <s xml:id="echoid-s8255" xml:space="preserve">De magnitudinum intelligo generatione; </s>
            <s xml:id="echoid-s8256" xml:space="preserve">ſeu de
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            modis, quibus ortæ productæve concipiantur variæ magnitudinum
              <lb/>
            ſpecies. </s>
            <s xml:id="echoid-s8257" xml:space="preserve">Nec ulla certè magnitudo datur, quæ non innumeris modis
              <lb/>
            & </s>
            <s xml:id="echoid-s8258" xml:space="preserve">intelligi producta poſſit, & </s>
            <s xml:id="echoid-s8259" xml:space="preserve">reverà produci. </s>
            <s xml:id="echoid-s8260" xml:space="preserve">Poſſunt autem, qui
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            ſaltem hactenus uſurpati ſunt, ad præcipua quædam genera referri,
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            quorum ſe mihi jam cogitanti ſuggerentia ſunt hæc; </s>
            <s xml:id="echoid-s8261" xml:space="preserve">_per motus locales;_
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            </s>
            <s xml:id="echoid-s8262" xml:space="preserve">_per interſectiones magnitudinum; </s>
            <s xml:id="echoid-s8263" xml:space="preserve">per quantitate poſitionéque deter-_
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            _minatas ab aſſignatis locis. </s>
            <s xml:id="echoid-s8264" xml:space="preserve">diſtantias; </s>
            <s xml:id="echoid-s8265" xml:space="preserve">per ductus magnitudinum in_
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            _magnitudines; </s>
            <s xml:id="echoid-s8266" xml:space="preserve">& </s>
            <s xml:id="echoid-s8267" xml:space="preserve">per applicationes magnitudinum ad magnitudines;_ </s>
            <s xml:id="echoid-s8268" xml:space="preserve">
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            _per aggregationem magnitudinum ordine certo diſpoſitarum; </s>
            <s xml:id="echoid-s8269" xml:space="preserve">per appo-_
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            _ſitionem magnitudinum ad alias, vel ſubductionem ab aliis; </s>
            <s xml:id="echoid-s8270" xml:space="preserve">per orga-_
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            _nicam demum_ (ab horum quocunque deductam, aut ordinatam)
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            _effectionem._ </s>
            <s xml:id="echoid-s8271" xml:space="preserve">Horum, & </s>
            <s xml:id="echoid-s8272" xml:space="preserve">ſi qui ſunt aliorum modus primarius, & </s>
            <s xml:id="echoid-s8273" xml:space="preserve">quem
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            alii cuncti quodammodo ſupponant oportet, utpote ſine quo nil pro-
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            creari poteſt, eſt iſte, _qui per motum localem._ </s>
            <s xml:id="echoid-s8274" xml:space="preserve">De quo proinde primo
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            diſpiciendum. </s>
            <s xml:id="echoid-s8275" xml:space="preserve">De motu celebratur illud _Ariſtotelis_ effatum,
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            ἁναγμ
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            @@ον ἁγνο{ου}μí
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            νκς ἁυ@ς (κιν@σεως) ἁγνοε
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            @ ηαἱ {τὴν} φύσιν: </s>
            <s xml:id="echoid-s8276" xml:space="preserve">igno-
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            rato motn neceſſariò naturam ignorari; </s>
            <s xml:id="echoid-s8277" xml:space="preserve">in Phyſicis ideò paginam u-
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              <note position="right" xlink:label="note-0179-01" xlink:href="note-0179-01a" xml:space="preserve">3 _Phyſ. I._</note>
            tramque facit; </s>
            <s xml:id="echoid-s8278" xml:space="preserve">nec immeritò, cùm in natura (ſaltem quantùm hu-
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            manus intellectus aſſequi valet, aut experientia commonſtrare) quic-
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            quid ſiat, à motu ſiat, aut certè non abſque motu. </s>
            <s xml:id="echoid-s8279" xml:space="preserve">De natura motûs
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            igitur, & </s>
            <s xml:id="echoid-s8280" xml:space="preserve">rectâ deſinitione; </s>
            <s xml:id="echoid-s8281" xml:space="preserve">de cauſis, de diſſerentiis complura
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            ſubtiliter argutantur Phyſici, quorum ferè _Matbematicis nibil </s>
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