Schott, Gaspar, Mechanica hydraulico-pneumatica. Pars I. Mechanicae Hydraulico-pnevmaticae Theoriam continet. , 1657

List of thumbnails

< >
101
101 		102
102
103
103 		104
104
105
105 		106
106
107
107 		108
108
109
109 		110
110
< >
page |< < of 203 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="051/01/106.jpg" pagenum="75"/>
              zontali, v.g. in linea HIK; hoc eſt, donec omnes dictarum ſu­
                <lb/>
              perficierum partes diſtent æqualiter à centro terræ, juxta dicta
                <lb/>
              cap. 1. Proprietat. 2. Ratio deſumitur ex dictis ibidem. </s>
              <s>Ex his
                <lb/>
              formo ſequens. </s>
            </p>
            <figure id="id.051.01.106.1.jpg" xlink:href="051/01/106/1.jpg" number="29"/>
            <p type="main">
              <s>
                <emph type="center"/>
              Axioma Hydraulicum I.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>
                <emph type="italics"/>
              QVantùm aqua deſcendit per vnum ſiphonis erecti crus, tantundem </s>
            </p>
            <p type="main">
              <s>
                <arrow.to.target n="marg152"/>
                <lb/>
              aſcendit per alterum.
                <emph.end type="italics"/>
              Idem contingit in omnibus canalibus,
                <lb/>
              alveis, & meatibus quibuscunque incurvatis. </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg152"/>
              Axioma hy­
                <lb/>
              draulicum.</s>
            </p>
            <p type="main">
              <s>
                <emph type="italics"/>
              Secunda.
                <emph.end type="italics"/>
              Si vni crurium, ſive longiori, ſive breviori, ſive
                <lb/>
              æquali, & ſive capaciori, ſive minùs capaci, addas aliquid aquæ,
                <lb/>
              v.g. cruri AB; attollitur etiam alterius cruris aqua, donec rur­
                <lb/>
              ſus ſuperficies diſtent æqualiter a centrro terræ, ſeu ſint in eadem
                <lb/>
              linea horizontali, v.g. in linea GFE. </s>
              <s>Ratio eſt eadem. </s>
            </p>
            <p type="main">
              <s>
                <emph type="italics"/>
              Tertia.
                <emph.end type="italics"/>
              Si cruri longiori, ſive id capacius ſit altero iam
                <lb/>
              pleno, ſive non, addas plùs aquæ, v.g. cruri AB; deſcendet ea
                <lb/>
              per B,
                <expan abbr="elevabitq́ue">elevabitque</expan>
              aquam cruris CDEF, & expellet per os
                <lb/>
              EF, donec ceſſante infuſione ſit iterum vtraque ſuperficies in li­
                <lb/>
              nea GFE. </s>
              <s>Patet experientiâ, & ratio eſt eadem, ne ſcilicet ſu­
                <lb/>
              perficies vnius cruris diſtet plùs aut minùs, à centro terræ, quàm
                <lb/>
              alterius. </s>
            </p>
            <p type="main">
              <s>
                <emph type="italics"/>
              Quarta.
                <emph.end type="italics"/>
              Si cruri breviori, licet capaciori, nempe cruri
                <lb/>
              EFCD, jam pleno addas plùs aquæ |; ea non attollet aquam
                <lb/>
              cruris longioris vltra punctum G, ſed effluet ex ore EF, licet
                <lb/>
              aqua cruris EFCD ſit longè maior & ponderoſior, quàm
                <lb/>
              aqua cruris AB. </s>
              <s>Patet itidem experientiâ, & ratio eſt eadem. </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              Corollarium I.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>COlligitur hinc primò, aquam maioris perpendiculi pellere
                <lb/>
                <arrow.to.target n="marg153"/>
                <lb/>
              aquam minoris perpendiculi, non obſtante maiore copia, &
                <lb/>
              maiore pondere huius: ideo enim aqua cruris AB primæ & tertiæ
                <lb/>
              figuræ expellit aquam cruris CDEF, licet longè maiorem &
                <lb/>
              ponderoſiorem, quia perpendiculum illius eſt maius ſeu longius,
                <lb/>
              quàm perpendiculum huius. </s>
              <s>Aquæ perpendiculum hic, & in
                <lb/>
                <arrow.to.target n="marg154"/>
                <lb/>
              ſequentibus, appello altitudinem aquæ ſupra horizontem, ſeu
                <lb/>
              ſupra centrum Terræ, ita vt illa dicatur habere maius </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum