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-s8456" xml:space="preserve">
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            exporrecta ſucceſſione; </s>
            <s xml:id="echoid-s8457" xml:space="preserve">quam ſpatii decurſi longitudo demonſtrat,
              <lb/>
            ac determinat. </s>
            <s xml:id="echoid-s8458" xml:space="preserve">Tempus itaque per rectam lineam ſemper deſigna-
              <lb/>
            bimus; </s>
            <s xml:id="echoid-s8459" xml:space="preserve">arbitrariè quidem initio ſumptam & </s>
            <s xml:id="echoid-s8460" xml:space="preserve">expoſitam, at cujus
              <lb/>
            partes proportionalibus temporis partibus, & </s>
            <s xml:id="echoid-s8461" xml:space="preserve">puncta temporis inſtan-
              <lb/>
            tibus reſpectivis juſtè reſpondebunt, & </s>
            <s xml:id="echoid-s8462" xml:space="preserve">iis appoſitè repræſentandis
              <lb/>
            inſervient. </s>
            <s xml:id="echoid-s8463" xml:space="preserve">His de tempore prælibatis ad conſiderandam vim motûs
              <lb/>
            eſſectivam procedimus, quæ ſanè (quæcunque ſit ejus natura, vel
              <lb/>
            undicunque procedat, nam iſta _Phyſicis_ diſquirenda relinquimus)
              <lb/>
            merito quoque ſeu quantum quid concipitur, & </s>
            <s xml:id="echoid-s8464" xml:space="preserve">ſicut alia quanta com-
              <lb/>
            puto ſubjicitur. </s>
            <s xml:id="echoid-s8465" xml:space="preserve">Etenim experientiâ compertiſſi@@m eſt, ſæpe duo-
              <lb/>
            rum mobilium ab eodem termino per eandem orbitam delatorum al-
              <lb/>
            terum alteri prævertere, ſeu majus eodem tempore ſpatium conſi-
              <lb/>
            cere. </s>
            <s xml:id="echoid-s8466" xml:space="preserve">Nec aliunde poteſt hoc procedere, quàm à majori vi, ſeu
              <lb/>
            potentia motiva, quâ præcellit alterum mobile, cujú@que gratiâ velo-
              <lb/>
            cius dicitur. </s>
            <s xml:id="echoid-s8467" xml:space="preserve">Et quia perſpicuum eſt nil impedire, quin ſecundum
              <lb/>
            omnimodas proportiones contingat hic ſpatiorum una peractorum
              <lb/>
            exceſſus, ideò vis hæc jure concipiatur in partes quaſlibet (quas & </s>
            <s xml:id="echoid-s8468" xml:space="preserve">
              <lb/>
            ſicuti partes cujuſcunque qualitatis intenſivas ſuccinctæ diſtinctionis
              <lb/>
            ergò gradus appellare licet, & </s>
            <s xml:id="echoid-s8469" xml:space="preserve">conſuetum eſt) in partes, inquam,
              <lb/>
            quaſlibet infinitas, aut indefinitas diviſibilis concipiatur; </s>
            <s xml:id="echoid-s8470" xml:space="preserve">quas inter
              <lb/>
            ſe nectens, & </s>
            <s xml:id="echoid-s8471" xml:space="preserve">à ſe dirimens communis terminus, vel (juxta ſuppo-
              <lb/>
            ſitionem quòd quanta conſtant ex infinitis atomis) pars abſolutè mi-
              <lb/>
            nima dicatur quies, hoc eſt ſumma tarditas, aut infima velocitas;
              <lb/>
            </s>
            <s xml:id="echoid-s8472" xml:space="preserve">è cujus ſuccreſcentia, vel intenſione continua velocitatis gradus quili-
              <lb/>
            bet eo modo concipiatur aggregari, vel produci, quo linea è puncto-
              <lb/>
            rum appoſitione, vel motu, tempus ex inſtantium ſucceſſione vel ſluxu
              <lb/>
            progenitum imaginamur. </s>
            <s xml:id="echoid-s8473" xml:space="preserve">Unde rem abſolutè conſiderando, quo
              <lb/>
            vis hujuſce quantitas menti ſeu phantaſiæ rectè proponatur, ſuſſicit
              <lb/>
            ejus vice magnitudinem quamvis regularem exhibere (hoc eſt talem,
              <lb/>
            in cujus partibus quamvis diſſerentiam, quamlibétque proportionem
              <lb/>
            clarè promptéque valeamus apprehendere) ſimplicitatis adeò perſpi-
              <lb/>
            cuitatíſque causâ cuilibet ejus repræſentando gradui recta linea cum
              <lb/>
            primìs accuratè quadrat. </s>
            <s xml:id="echoid-s8474" xml:space="preserve">Ità quidem in ſe generatim & </s>
            <s xml:id="echoid-s8475" xml:space="preserve">abſoluta
              <lb/>
            ſpectata vis iſta tempus non implicat, eóque ſecluſo concipi poteſt (in
              <lb/>
            quolibet enim temporis inſtanti, pérque quodcunque temporis inter-
              <lb/>
            vallum eâ præditum mobile concipiatur) at quatenus computabilis,
              <lb/>
            ac æſtimio Mathematico ſubdita, quâ ratione velocitas dicitur, cum
              <lb/>
            ſpatio tempus adſignificat; </s>
            <s xml:id="echoid-s8476" xml:space="preserve">è quibus nempe quantitas ejus dijudicatur,
              <lb/>
            ac diſcernitur definitur idcircò velocitas potentia, quâ mobile ſpatium
              <lb/>
            aliquod in aliquo tempore pertranſire poteſt. </s>
            <s xml:id="echoid-s8477" xml:space="preserve">Uude conſectatur </s>
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