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

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          <p>
            <s xml:id="echoid-s8281" xml:space="preserve">
              <pb o="2" file="0180" n="195" rhead=""/>
            _vel cura._ </s>
            <s xml:id="echoid-s8282" xml:space="preserve">Sufficere poteſt his quæ communis ſenſus agnoſcit, & </s>
            <s xml:id="echoid-s8283" xml:space="preserve">ob-
              <lb/>
            via comprobant experimenta pro conceſſis arripere; </s>
            <s xml:id="echoid-s8284" xml:space="preserve">hoc imprimìs
              <lb/>
            generale, Quamvis magnitudinem (magnitudinibus etiam punctum
              <lb/>
            accenſebo ceu minimum magnum, ut & </s>
            <s xml:id="echoid-s8285" xml:space="preserve">inſinitum ceu maximum mag-
              <lb/>
            num, quibus mediæ interjacent magnitudines omnes ſinitæ) mobi-
              <lb/>
            lem eſſe, hoc eſt eo quo conſpicimus indies ſieri modo locum ſuum
              <lb/>
            & </s>
            <s xml:id="echoid-s8286" xml:space="preserve">ſitum poſſe demutare, juxta differentias præſtitutas, motu nempe
              <lb/>
            vel directo, vel circulari; </s>
            <s xml:id="echoid-s8287" xml:space="preserve">æquabiliter veloce, vel utcunque magis
              <lb/>
            accelerato, vel magìs retardato. </s>
            <s xml:id="echoid-s8288" xml:space="preserve">Hujuſmodi dico motuum quemvis
              <lb/>
            pro lubitu ſuo tanquam evidenter poſſibilem aſſumunt, ut quid exinde
              <lb/>
            conſequatur inveſtigent & </s>
            <s xml:id="echoid-s8289" xml:space="preserve">oſtendant. </s>
            <s xml:id="echoid-s8290" xml:space="preserve">De iis igitur differentiis motuum
              <lb/>
            quotæ ſint & </s>
            <s xml:id="echoid-s8291" xml:space="preserve">quales diſſeremus. </s>
            <s xml:id="echoid-s8292" xml:space="preserve">In motu potiſſimum à _Mathema-_
              <lb/>
            _ticis_ conſiderantur _ipſe modus lationis, & </s>
            <s xml:id="echoid-s8293" xml:space="preserve">quantitas vis motivæ_. </s>
            <s xml:id="echoid-s8294" xml:space="preserve">ipſe
              <lb/>
            modus primo lationis, juxta quem motus, alii progreſſivi ſunt, alii
              <lb/>
            circumlatitii, alii compoſiti ex his; </s>
            <s xml:id="echoid-s8295" xml:space="preserve">tum vis motivæ quantitas, prop-
              <lb/>
            ter quam alter alterius reſpectu velocior, tardior, æquè velox; </s>
            <s xml:id="echoid-s8296" xml:space="preserve">aut
              <lb/>
            in ſe æ quabilis, acceleratus, retardatus aſſirmatur. </s>
            <s xml:id="echoid-s8297" xml:space="preserve">Ex his manant
              <lb/>
            ſontibus differentiæ motuum; </s>
            <s xml:id="echoid-s8298" xml:space="preserve">quorum de poſteriore nos primùm age-
              <lb/>
            mus, quia nonnulla continet ὲξω{τε}{ει}{κο} quæ velim quam primum
              <lb/>
            ablegata, quo reliqua poſtmodùm expeditiùs fluant & </s>
            <s xml:id="echoid-s8299" xml:space="preserve">limpidiùs. </s>
            <s xml:id="echoid-s8300" xml:space="preserve">& </s>
            <s xml:id="echoid-s8301" xml:space="preserve">
              <lb/>
            quia vis motivæ quantitas ſine tempore dignoſci nequit, de temporis
              <lb/>
            natura perſtringendum eſt aliquid. </s>
            <s xml:id="echoid-s8302" xml:space="preserve">Tempus autem dic ſodes, quid eſt?
              <lb/>
            </s>
            <s xml:id="echoid-s8303" xml:space="preserve">illud _Auguſtini_ tritiſſimum noſtis; </s>
            <s xml:id="echoid-s8304" xml:space="preserve">ſi nemo quærat ſcio, ſi quis in-
              <lb/>
            terroget neſcio. </s>
            <s xml:id="echoid-s8305" xml:space="preserve">Verùm quia _Mathematici_ crebrò tempus adhibent,
              <lb/>
            quid eo deſignetur vocabulo diſtinctè concipiant oportet; </s>
            <s xml:id="echoid-s8306" xml:space="preserve">agyrtæ
              <lb/>
            ſecùs futuri. </s>
            <s xml:id="echoid-s8307" xml:space="preserve">quare jure reſponſum exigatis; </s>
            <s xml:id="echoid-s8308" xml:space="preserve">ac ſtatim pareo, ſed
              <lb/>
            breviter ac ſimpliciter, & </s>
            <s xml:id="echoid-s8309" xml:space="preserve">quantùm potero λε{πι}ολογήμα{τα} defugiens. </s>
            <s xml:id="echoid-s8310" xml:space="preserve">Ab-
              <lb/>
            ſtractè loquendo, tempus eſt perſeverantia rei cujuſque in ſuo eſſe. </s>
            <s xml:id="echoid-s8311" xml:space="preserve">Ali-
              <lb/>
            as verò res aliis diutiùs in eſſe ſuo permanere; </s>
            <s xml:id="echoid-s8312" xml:space="preserve">ſuiſſe cùm hæ non erant,
              <lb/>
            eſſe cum hæ non ſunt; </s>
            <s xml:id="echoid-s8313" xml:space="preserve">priùs incepiſſe, ſeriùs deſinere; </s>
            <s xml:id="echoid-s8314" xml:space="preserve">neque non aliquas
              <lb/>
            cum aliis unà oriri ac occidere, ſimultaneóq; </s>
            <s xml:id="echoid-s8315" xml:space="preserve">quaſi durationis progreſſu,
              <lb/>
            à carceribus ad metas, univerſum ætatis curriculum emetiri, nemini
              <lb/>
            non perſpectum eſt. </s>
            <s xml:id="echoid-s8316" xml:space="preserve">Ergo tempus abſolutè quantum eſt; </s>
            <s xml:id="echoid-s8317" xml:space="preserve">ut quantitatis
              <lb/>
            admittens (modo ſuo) præcipuas affectiones æqualitatem, inæqua-
              <lb/>
            litatem, proportionem; </s>
            <s xml:id="echoid-s8318" xml:space="preserve">nec enim diffiteatur quiſquam, opinor,
              <lb/>
            ί
              <unsure/>
            σόκ{ρο}@α fore, quæ ſimul exoriuntur & </s>
            <s xml:id="echoid-s8319" xml:space="preserve">ſimul intereunt; </s>
            <s xml:id="echoid-s8320" xml:space="preserve">inæqualiter
              <lb/>
            durâſſe, quorum unum fuit antequam alterum cæperit eſſè, necnon
              <lb/>
            eſſe perſeverat, poſtquam alterum deſiêrit exiſtere. </s>
            <s xml:id="echoid-s8321" xml:space="preserve">Longius autem,
              <lb/>
            & </s>
            <s xml:id="echoid-s8322" xml:space="preserve">brevius tempus nemo non dicere ſolet, nemo non concipere vide-
              <lb/>
            tur. </s>
            <s xml:id="echoid-s8323" xml:space="preserve">Quantitatis igitur particeps eſſe tempus communis ſenſus </s>
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