Salusbury, Thomas, Mathematical collections and translations (Tome I), 1667

Page concordance

< >
Scan Original
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
< >
page |< < of 701 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="040/01/594.jpg" pagenum="25"/>
              duſtry truly heroicall and admirable, by Monſignor
                <emph type="italics"/>
              Maffei Bar­
                <lb/>
              herino,
                <emph.end type="italics"/>
              then Prefect for the Wayes, and now Pope. </s>
              <s>And being
                <lb/>
              neceſſitated, that I might be able to walk in the Cave, and for
                <lb/>
              other cauſes, I let down the Sluices of the ſaid Cave, at the mouth
                <lb/>
              of the Lake: No ſooner were they ſtopt, but a great many of the
                <lb/>
              people of the Towns and Villages coaſting upon the
                <emph type="italics"/>
              L
                <emph.end type="italics"/>
              ake
                <lb/>
              flocking thither, began to make grievous complaints, that if thoſe
                <lb/>
              Sluices were kept ſhut, not onely the Lake would want its due
                <lb/>
              Vent, but alſo the parts adjacent to the Lake would be over
                <lb/>
              flown to their very great detriment. </s>
              <s>And becauſe at firſt appea­
                <lb/>
              rance their motion ſeemed very reaſonable, I found my ſelf hard
                <lb/>
              put to it, ſeeing no way to perſwade ſuch a multitude, that the
                <lb/>
              prejudice which they pretended I ſhould do them by keeping
                <lb/>
              the Sluices ſhut for two dayes, was abſolutely inſenſible; and that
                <lb/>
              by keeping them open, the Lake did not ebb in the ſame time ſo
                <lb/>
              much as the thickneſs of a ſheet of Paper: And therefore I was
                <lb/>
              neceſſitated to make uſe of the authority I had, and ſo followed
                <lb/>
              my buſineſs as cauſe required, without any regard to that Rab­
                <lb/>
              ble tumultuouſly aſſembled. </s>
              <s>Now when I am not working with
                <lb/>
              Mattock or Spade, but with the Pen and Diſcourſe, I intend to
                <lb/>
              demonſtrate clearly to thoſe that are capable of reaſon, and that
                <lb/>
              have well underſtood the ground of this my Treatiſe, that the
                <lb/>
              fear was altogether vain which thoſe people conceited. </s>
              <s>And
                <lb/>
              therefore I ſay, that the Emiſſary or Sluice of the Lake of
                <emph type="italics"/>
              Peru­
                <lb/>
              gia,
                <emph.end type="italics"/>
              ſtanding in the ſame mannner as at preſent, and the water
                <lb/>
              paſſing thorow it with the ſame velocity as now; to examine
                <lb/>
              how much the Lake may abate in two days ſpace, we ought to
                <lb/>
              conſider, what proportion the ſuperficies of the whole Lake hath
                <lb/>
              to the meaſure of the Section of the Emiſſary, and afterwards to
                <lb/>
              infer, that the velocity of the water by the Emiſſary or Sluice,
                <lb/>
              ſhall have the ſame proportion to the abatement of the Lake,
                <lb/>
              and to prove thorowly and clearly this diſcourſe, I intend to
                <lb/>
              demonſtrate the following Propoſition.</s>
            </p>
            <p type="main">
              <s>Suppoſe a Veſſel of any bigneſſe, and that it hath an Emiſſary
                <lb/>
              or Cock, by which it diſchargeth its water. </s>
              <s>And look what pro­
                <lb/>
              portion the ſuperſicies of the
                <lb/>
              veſſel hath to the meaſure of
                <lb/>
                <figure id="id.040.01.594.1.jpg" xlink:href="040/01/594/1.jpg" number="37"/>
                <lb/>
              the ſection of the cock, ſuch pro­
                <lb/>
              portion ſhall the velocity of the
                <lb/>
              Water in the Cock have to the
                <lb/>
              abatement of the Lake Let the
                <lb/>
              Veſſel be A B C D, H I L B, through which the Water runneth,
                <lb/>
              the ſuperficies of the Water in the Veſſel A D, and the ſection
                <lb/>
              of the Cock H L: and let the Water in the Veſſel
                <lb/>
              be ſuppoſed to have falne in one determinate time from A to F. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum