Borelli, Giovanni Alfonso, De motionibus naturalibus a gravitate pendentibus, 1670

Page concordance

< >
Scan Original
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
< >
page |< < of 579 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.002100">
                <pb pagenum="412" xlink:href="010/01/420.jpg"/>
                <arrow.to.target n="marg534"/>
                <lb/>
              neceſsè eſt vt aucta decliuitate vniatur cum infimą
                <lb/>
              accliuitate D3, & ideò neceſsè eſt vt ſuperficies
                <expan abbr="cõ-poſita">con­
                  <lb/>
                poſita</expan>
              montis ETD ſit multò magis erecta, & accliuis
                <lb/>
              quam priùs; & ducta perpendiculari TY ſupra MN,
                <lb/>
              eam ſecet in Y & vaſis fundum in Z: & quia momen­
                <lb/>
              tum portionis aquei anuli CDTY maius eſt momen­
                <lb/>
              to eiuſdem ſectoris aquei anuli
                <expan abbr="nõ">non</expan>
              imminuti CDGQ
                <lb/>
              (non
                <expan abbr="quidẽ">quidem</expan>
              ratione molis, cùm hæc nec iuuet in hoc
                <lb/>
              negotio, nec noceat, vt dictum eſt, ſed quia eius
                <expan abbr="mõ-tuoſa">mon­
                  <lb/>
                tuoſa</expan>
              ſuperficies DTE facta eſt decliuior, & magis
                <lb/>
                <arrow.to.target n="marg535"/>
                <lb/>
              ad perpendicularem
                <expan abbr="accedẽs">accedens</expan>
              , quàm priùs); erat verò
                <lb/>
              momentum integræ portionis anuli aquei CDGQ æ­
                <lb/>
              quale momento ſectoris laminæ 4CD, igitur momen­
                <lb/>
              tum portionis anuli aquei magis decliuis CDTY erit
                <lb/>
                <figure id="id.010.01.420.1.jpg" xlink:href="010/01/420/1.jpg" number="145"/>
                <lb/>
              maius momento ſe­
                <lb/>
              ctoris laminæ 4CD,
                <lb/>
              & premunt ambo
                <lb/>
              partes aquæ ſubie­
                <lb/>
              ctas 4P, & CZ
                <expan abbr="cõ-tinuatas">con­
                  <lb/>
                tinuatas</expan>
              , & æquali­
                <lb/>
              ter diſpoſitas ſupra idipſum planum horizontale MB
                <lb/>
              CY, quapropter (ex demonſtratis) prædicta lamina
                <lb/>
                <arrow.to.target n="marg536"/>
                <lb/>
              AC diſcedet, remouebiturque ab YZ. eadem ratio­
                <lb/>
              ne reliqua aſſula EH remoueri debet, fugereque à vi­
                <lb/>
              cinia YZ, cum expelli debeat lateralitèr aqua ſubie­
                <lb/>
              cta RF vnà cum inſiſtente lamina, propterea quod à
                <lb/>
              magis preſſa aqua FZ expelli debet; Patet igitur duo
                <lb/>
              corpora AC, & EH ſegregari debere, & vnum ab al­
                <lb/>
              tero ſugere quotieſcumque duo eorum argines con-</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum