Fabri, Honoré, Tractatus physicus de motu locali, 1646

List of thumbnails

< >
231
231
232
232
233
233
234
234
235
235
236
236
237
237
238
238
239
239
240
240
< >
page |< < of 491 > >|
    <archimedes>
      <text>
        <body>
          <chap id="N1EE3A">
            <p id="N1FADC" type="main">
              <s id="N1FAE4">
                <pb pagenum="248" xlink:href="026/01/280.jpg"/>
              æqualis ceſſionis, & reſiſtentiæ, acquiritur tantùm noua determinatio
                <lb/>
              æqualis priori: </s>
              <s id="N1FAF3">ſimiliter à termino nullius ceſſionis, & totius reſiſtentiæ
                <lb/>
              ad terminum æqualis reſiſtentiæ, & ceſſionis, acquiritur tantùm æqualis
                <lb/>
              ceſſio; </s>
              <s id="N1FAFB">ſed qua proportione creſcit ceſſio, imminuitur reſiſtentia, & vi­
                <lb/>
              ciſsim; </s>
              <s id="N1FB01">igitur cum æqualis ceſsio, & reſiſtentia ſint in communi medio; </s>
              <s id="N1FB05">
                <lb/>
              tantùm enim eſt ab æquali reſiſtentia & æquali ceſsione ad totam ceſ­
                <lb/>
              ſionem, & nullam reſiſtentiam, quantùm eſt ab æquali reſiſtentia & ceſ­
                <lb/>
              ſione æquali ad totam reſiſtentiam, & nullam ceſsionem; </s>
              <s id="N1FB0E">& cum à nulla
                <lb/>
              reſiſtentia ad æqualem acquiritur noua determinatio æqualis priori; </s>
              <s id="N1FB14">cer­
                <lb/>
              tè ab æquali ad totam acquiretur
                <expan abbr="tantũdem">tantundem</expan>
              determinationis nouæ; igi­
                <lb/>
              tur tunc erit dupla prioris, quod erat demonſtrandum. </s>
            </p>
            <p id="N1FB20" type="main">
              <s id="N1FB22">Sextò, præterea globus A impactus ſine acceſsione noui impetus non
                <lb/>
              poteſt velociùs moueri, quàm antè moueretur; </s>
              <s id="N1FB28">ſed per reflexionem non
                <lb/>
              acquirit maiorem impetum, vt conſtat; </s>
              <s id="N1FB2E">igitur velociùs, quàm antè non
                <lb/>
              mouetur; </s>
              <s id="N1FB34">igitur ſi conſideretur globus A impactus; </s>
              <s id="N1FB38">ſi eſt æqualis reſi­
                <lb/>
              ſtentia, nullo modo mouetur; </s>
              <s id="N1FB3E">ſi eſt maior reſiſtentia, ſed non tota; </s>
              <s id="N1FB42">mo­
                <lb/>
              uetur quidem motu reflexo; </s>
              <s id="N1FB48">ſed inæquali priori, ſi adhuc maior moue­
                <lb/>
              tur etiam, ſed velociore motu, donec tandem in tota reſiſtentia toto
                <lb/>
              priore motu moueatur per ſe, vt dicemus paulò pòſt; </s>
              <s id="N1FB50">ſi verò ſit minor
                <lb/>
              reſiſtentia ceſsione, mouetur quidem per eandem lineam, ſed tardiore
                <lb/>
              motu, ſi adhuc minor mouetur quoque, ſed velociore motu, donec tan­
                <lb/>
              dem in nulla reſiſtentia ſit totus prior motus; </s>
              <s id="N1FB5A">ſi verò conſideretur glo­
                <lb/>
              bus reflectens, ſi eſt æqualis reſiſtentia mouetur æquali motu; ſi maior
                <lb/>
              minore; ſi tota nullo; </s>
              <s id="N1FB62">ſi vero ſit minor reſiſtentia mouetur motu velo­
                <lb/>
              ciore, atque ita deinceps; ſi nulla quaſi infinito: </s>
              <s id="N1FB68">dico quaſi, quia ſi va­
                <lb/>
              cuum moueri poſſet per impoſsibile, certè cum non reſiſtat, infinitè ce­
                <lb/>
              deret; igitur infinito motu quaſi moueretur. </s>
            </p>
            <p id="N1FB70" type="main">
              <s id="N1FB72">Septimò, vnde vides ab illo communi medio verſus vtrumque extre­
                <lb/>
              mum creſcere ſemper motum globi impacti; </s>
              <s id="N1FB78">donec tandem in vtroque
                <lb/>
              extremo æquali motu moueatur, quo iam priùs mouebatur in linea inci­
                <lb/>
              dentiæ; </s>
              <s id="N1FB80">at verò globi reflectentis verſus extremum nullius ceſsionis im­
                <lb/>
              minui motum, donec tandem in illo extremo nullus ſit; </s>
              <s id="N1FB86">creſcere vero
                <lb/>
              verſus aliud extremum, donec tandem in illo infinitus ſit, eo modo, quo
                <lb/>
              diximus, id eſt infinita ceſsio, quam accipio ad inſtar motus infinitæ ve­
                <lb/>
              locitatis; quemadmodum accipi poteſt nulla ceſsio, ſeu tota reſiſtentia
                <lb/>
              ad inſtar motus infinitæ tarditatis. </s>
            </p>
            <p id="N1FB92" type="main">
              <s id="N1FB94">Octauò, globus impactus imprimit ſemper æqualem impetum refle­
                <lb/>
              ctenti, qui pro diuerſa huius mole diuerſum modum præſtat; </s>
              <s id="N1FB9A">ſi refle­
                <lb/>
              ctens æqualis eſt æqualem, ſi maior minorem, ſi minor maiorem; </s>
              <s id="N1FBA0">quippe
                <lb/>
              idem impetus in paucioribus partibus facit maiorem motum, in totidem
                <lb/>
              æqualem, in pluribus minorem, donec tandem ſi plures ſint partes ſub­
                <lb/>
              jecti quàm partes impetus, nullus ſit motus; igitur nullus impetus, vt
                <lb/>
              conſtat ex his, quæ diximus lib.1. </s>
            </p>
            <p id="N1FBAD" type="main">
              <s id="N1FBAF">Nonò, hinc motus reflexus in perpendiculari minor eſt ea parte mo­
                <lb/>
              tus, quæ reflectenti imprimitur; </s>
              <s id="N1FBB5">vel enim imprimitur motus æqualis, </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>