Fabri, Honoré, Tractatus physicus de motu locali, 1646

List of thumbnails

< >
11
11 		12
12
13
13 		14
14
15
15 		16
16
17
17 		18
18
19
19 		20
20
< >
page |< < of 491 > >|
    <archimedes>
      <text>
        <body>
          <chap id="N15AC3">
            <pb pagenum="82" xlink:href="026/01/114.jpg"/>
            <p id="N16215" type="main">
              <s id="N16217">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              12.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N16223" type="main">
              <s id="N16225">
                <emph type="italics"/>
              Quando graue eſt in medio libero, per quod ſcilicet deſcendere poteſt, ſecun­
                <lb/>
              do instanti producitur nouus impetus, itemque tertio, quarto, quinto. </s>
              <s id="N1622C">&c.
                <emph.end type="italics"/>
              </s>
              <s id="N16231"> Pro­
                <lb/>
              batur primò; </s>
              <s id="N16236">quia ſecundo inſtanti eſt eadem cauſa quæ primo non ma­
                <lb/>
              gis impedita, eáque neceſſaria; </s>
              <s id="N1623C">igitur neceſſariò agit per Ax. 12. lib.1.
                <lb/>
              igitur aliquem effectum producit; ſed hic effectus non eſt impetus pro­
                <lb/>
              ductus primo inſtanti, quia non conſeruatur à cauſa primò productiua
                <lb/>
              per Th.11. igitur eſt nouus. </s>
              <s id="N16246">Probatur ſecundò; creſcit motus grauium in
                <lb/>
              libero medio per hypoth. </s>
              <s id="N1624B">1.2.3. igitur creſcit impetus; </s>
              <s id="N1624E">quia cum motus
                <lb/>
              naturalis ſit ab impetu per Th.5. quâ proportione creſcit effectus, ſcilicet
                <lb/>
              formalis, & exigentiæ; </s>
              <s id="N16256">ſic enim motus eſt effectus impetus per Th. 15.
                <lb/>
              lib.1.eàdem creſcit cauſa per Ax.2. Probatur tertiò, quia corpus graue ex
                <lb/>
              maiore altitudine cadens maiorem quoque ictum infligit per hypoth.1.
                <lb/>
              igitur maior impetus imprimitur in corpore percuſſo; ſed impetus ad ex­
                <lb/>
              tra producitur ab alio impetu per Th.42.lib.1. igitur ſi creſcit productus
                <lb/>
              inpetus, creſcit impetus producens. </s>
            </p>
            <p id="N16264" type="main">
              <s id="N16266">
                <emph type="center"/>
                <emph type="italics"/>
              Corollarium.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N16272" type="main">
              <s id="N16274">Hinc reiicies quorumdam placitum, qui volunt cauſam velocioris
                <lb/>
              motus eſſe grauitatem ipſam, quatenus connotat motum præuium; </s>
              <s id="N1627A">quia
                <lb/>
              ſcilicet grauitas non producit illum maiorem impetum ad extra, vt con­
                <lb/>
              ſtat; </s>
              <s id="N16282">nec ſubſtantia ipſius corporis grauis per Th.40.lib.1.igitur ipſe im­
                <lb/>
              petus: </s>
              <s id="N16288">præterea ſi hoc eſſet, fruſtrà requireretur impetus contra Th. 5.
                <lb/>
              Denique motus præuius nihil eſt amplius, cum alius ſuccedit: Vide Th.
                <lb/>
              40.lib.1. vbi hæc fusè diſcuſſimus. </s>
            </p>
            <p id="N16291" type="main">
              <s id="N16293">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              13.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1629F" type="main">
              <s id="N162A1">
                <emph type="italics"/>
              Impetus productus ſecundo instanti in medio libero conſeruatur tertio, &
                <lb/>
              productus tertio conſeruatur, quarto, atque ita deinceps
                <emph.end type="italics"/>
              ; </s>
              <s id="N162AC">quia ſcilicet nec con­
                <lb/>
              ſeruantur à cauſa primo productiua per Th.144.libri: </s>
              <s id="N162B2">nec aliquid exigit
                <lb/>
              deſtructionem; </s>
              <s id="N162B8">non contrarius impetus, quia nullus eſt applicatus, vt
                <lb/>
              conſtat; </s>
              <s id="N162BE">non reſiſtentia medij, quæ quidem alicuius momenti eſt; </s>
              <s id="N162C2">ſed
                <lb/>
              non tanti, vt impedire poſſit motum omninò, vt conſtat; </s>
              <s id="N162C8">nam ſuppono
                <lb/>
              liberum medium, igitur nec deſtruere impetum; </s>
              <s id="N162CE">cum tamdiu duret cau­
                <lb/>
              ſa quamdiu durat effectus, vt patet; </s>
              <s id="N162D4">igitur nihil eſt quod exigat impe­
                <lb/>
              tus huius deſtructionem; igitur non deſtruitur per Ax. 14. lib.1.
                <lb/>
                <expan abbr="qūanta">quanta</expan>
              verò ſit, & quid ſit cuiuſlibet medij reſiſtentia, dicemus
                <lb/>
              infrà. </s>
            </p>
            <p id="N162E1" type="main">
              <s id="N162E3">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              14.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N162EF" type="main">
              <s id="N162F1">
                <emph type="italics"/>
              Si impetus innatus impeditur, ita vt moueri non poſſit corpus graue, ſe­
                <lb/>
              cundo instanti non producitur nouus impetus.
                <emph.end type="italics"/>
              </s>
              <s id="N162FA"> Probatur primò, non creſcit
                <lb/>
              corporis grauis ſeu grauitas, ſeu grauitatio, vt conſtat experientiâ; </s>
              <s id="N16300">igitur
                <lb/>
              non creſcit impetus; </s>
              <s id="N16306">alioquin ſi creſceret cauſa, creſceret effectus per
                <lb/>
              Ax.2. igitur de re, quòd ſit, certum eſt, atque euidens; </s>
              <s id="N1630C">iam demonſtratur
                <lb/>
              propter quid ſit; </s>
              <s id="N16312">impetus ſecundo inſtanti productus eſſet fruſtrà; </s>
              <s id="N16316">careret </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum