Fabri, Honoré, Tractatus physicus de motu locali, 1646
page |< < of 491 > >|
    <archimedes>
      <text>
        <body>
          <chap id="N1137F">
            <p id="N142C7" type="main">
              <s id="N142E0">
                <pb pagenum="49" xlink:href="026/01/081.jpg"/>
              titatis; </s>
              <s id="N142E9">cum reuerâ, vt dictum eſt ſuprà, remiſſus producat intenſum,
                <lb/>
              quod in vecte clariſſimum eſt; </s>
              <s id="N142EF">quippe momentum applicatum in F, quod
                <lb/>
              tardiùs mouetur deorſum, quàm B, ſurſum, vt patet, habet impetum re­
                <lb/>
              miſſiorem, qui tamen producit in B, intenſiorem: </s>
              <s id="N142F7">Pro quo, obſeruabis
                <lb/>
              impetum imperfectum cum alio perfecto actione communi agentem
                <lb/>
              poſſe concurrere ad producendum perfectum, vt patet; </s>
              <s id="N142FF">non tamen in
                <lb/>
              ratione cauſæ totalis: </s>
              <s id="N14305">ſimiliter plures imperfecti ſimul concurrentes
                <lb/>
              poſſunt producere perfectum; quia plures imperfecti conjunctim adæ­
                <lb/>
              quant perfectionem alterius perfectioris ſinguli ſeorſim. </s>
            </p>
            <p id="N1430D" type="main">
              <s id="N1430F">Obſeruabis ſecundò præclarum naturæ inſtitutum, quo factum eſt; </s>
              <s id="N14313">
                <lb/>
              vt cum vires hominum maiora pondera leuare non poſſint, ſi ſeorſun
                <lb/>
              conſiderentur; </s>
              <s id="N1431A">cum organis tamen mechanicis conjunctæ nullum pon­
                <lb/>
              dus quantumuis immane leuare non poſſint; </s>
              <s id="N14320">quod certè nullo modo ac­
                <lb/>
              cideret, niſi plures partes impetus producerent neque plures producere
                <lb/>
              poſſent, niſi minoris perfectionis eſſent; quia faciliùs producitur effe­
                <lb/>
              ctus imperfectus, quam perfectus per Ax. 13.num.4. </s>
            </p>
            <p id="N1432A" type="main">
              <s id="N1432C">Tertiò hinc optimè à natura prouiſum eſt, vt motus tardior in infi­
                <lb/>
              nitum eſſe poſſit; quod reuerâ fieri non poſſet, niſi dari poſſet impetus
                <lb/>
              alio imperfectior. </s>
            </p>
            <p id="N14334" type="main">
              <s id="N14336">Quartò, hinc quoque benè explicatur diuerſitas impetus, quæ oritur
                <lb/>
              tum à diuerſo medio, tùm à plano inclinato, tùm ab aliis impedimentis,
                <lb/>
              tùm à diuerſo niſu eiuſdem potentiæ, tùm maximè à diuerſo applicatio­
                <lb/>
              nis modo; de quibus aliàs. </s>
            </p>
            <p id="N14340" type="main">
              <s id="N14342">Quintò, ſi potentia applicata mobili immediatè illud moueat motu
                <lb/>
              recto, vel in ſingulis punctis mobilis producitur vnum punctum impe­
                <lb/>
              tus, vel plura; </s>
              <s id="N1434A">ſi primum, erit primus tantùm gradus maximæ perfectio­
                <lb/>
              nis; </s>
              <s id="N14350">ita vt perfectiorem producere non poſſit, ad quem eſt determinata
                <lb/>
              potentia; </s>
              <s id="N14356">imperfectiorem tamen impetu innato, de quo infrà; ſi verò
                <lb/>
              ſecundum, producet in ſingulis partibus
                <expan abbr="eũdem">eundem</expan>
              gradum perfectiſſi­
                <lb/>
              mum cum aliis pluribus, vel paucioribus heterogeneis, & imperfectio­
                <lb/>
              ribus. </s>
            </p>
            <p id="N14364" type="main">
              <s id="N14366">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              86.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N14372" type="main">
              <s id="N14374">
                <emph type="italics"/>
              Potentia naturalis grauium producit tantùm vno inſtanti ad intra vnicum
                <lb/>
              punctum impetus in quolibet puncto ſubiecti; </s>
              <s id="N1437C">ſi tamen impetum producit, quod
                <lb/>
              definiam lib.
                <emph.end type="italics"/>
              20.
                <emph type="italics"/>
              & ſi dentur puncta ſubiecti, quod ad præſens inſtitutum non
                <lb/>
              pertinet
                <emph.end type="italics"/>
              ; </s>
              <s id="N1438D">Probatur, quia fruſtrà eſſent plura puncta impetus; nec enim
                <lb/>
              ſunt multiplicandæ formæ ſine neceſſitate, ratione &c. </s>
              <s id="N14393">per Ax. 7. & 3.
                <lb/>
              n. </s>
              <s id="N14398">1. Præterea non eſt, cur potius produceret 2. quàm 3. 4. &c. </s>
              <s id="N1439B">atqui
                <lb/>
              quod vnum eſt, determinatum eſt per Ax. 5. </s>
            </p>
            <p id="N143A1" type="main">
              <s id="N143A3">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              87.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N143AF" type="main">
              <s id="N143B1">
                <emph type="italics"/>
              Potentia motrix animantium etiam vno inſtanti plura puncta, ſen partes
                <lb/>
              impetus in eadem parte ſubiecti producere potest
                <emph.end type="italics"/>
              ; </s>
              <s id="N143BC">Probatur in proiectis,
                <lb/>
              quorum impetus aliquando plùs, aliquando minùs durat licèt ſenſim
                <lb/>
              ſingulis inſtantibus aliquid illius deſtruatur; </s>
              <s id="N143C4">determinatur autem </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>