Ceva, Giovanni, Geometria motus, 1692

Page concordance

< >
Scan Original
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
< >
page |< < of 110 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000484">
                <pb pagenum="47" xlink:href="022/01/053.jpg"/>
              cta FE parallela AB, vti etiam FG parallela AC, erunt
                <lb/>
                <arrow.to.target n="marg106"/>
                <lb/>
              AE, AG latera compoſiti motus, cuius ſemita AF: Con­
                <lb/>
              cipiatur modò P momentum, quo mobile adeſt in F, &
                <lb/>
              ducta OPK parallela alteri HI, vel NL, erit imago MHIL ad
                <lb/>
                <arrow.to.target n="marg107"/>
                <lb/>
                <expan abbr="imaginẽ">imaginem</expan>
              PHIK, hoc eſt MH ad HP, vt CA ad AE, ſeu vt BD
                <lb/>
              ad GF. </s>
              <s id="s.000485">Pariter erit imago NHM ad
                <expan abbr="imaginẽ">imaginem</expan>
              OHP, hoc eſt
                <lb/>
              quadratum ex MH ad
                <expan abbr="quadratũ">quadratum</expan>
              ex PH; immò id ex BO ad
                <lb/>
              illud ex GF, vt BA ad AG; quamobrem punctum F cadet
                <lb/>
              in curuam parabolicam communem, cuius diameter AB,
                <lb/>
              & baſis, ſeu ordinatim applicata BD, ſcilicet AFD erit ipſa
                <lb/>
              curua parabolica. </s>
              <s id="s.000486">Quod &c. </s>
            </p>
            <p type="margin">
              <s id="s.000487">
                <margin.target id="marg104"/>
                <emph type="italics"/>
              pr.
                <emph.end type="italics"/>
              2.
                <emph type="italics"/>
              primum
                <lb/>
              huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.000488">
                <margin.target id="marg105"/>
                <emph type="italics"/>
              Pr.
                <emph.end type="italics"/>
              3.
                <emph type="italics"/>
              huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.000489">
                <margin.target id="marg106"/>
                <emph type="italics"/>
              Ex eadem.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.000490">
                <margin.target id="marg107"/>
                <emph type="italics"/>
              Pr.
                <emph.end type="italics"/>
              2.
                <emph type="italics"/>
              huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000491">
                <emph type="center"/>
                <emph type="italics"/>
              Scholium.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000492">
                <emph type="italics"/>
              Quoniam graue, quod iaculatur extræ perpendiculum, li­
                <lb/>
              berum ab omni obice, niſi turbaretur eius motus à proprią
                <lb/>
              grauitate pergerct moueri æquabiliter iuxta directionem, ve­
                <lb/>
              locitatemque ei traditam; habet verò coniunctam grauita­
                <lb/>
              tem, qua, niſi ab impreſſo impetu flecteretur motus, deſcen­
                <lb/>
              deret iuxta perpendiculum motu naturaliter concitato, cuius
                <lb/>
              imago velocitatum, triangulum eſt; Hinc propterea granę
                <lb/>
              vltra perpendiculum proiectum deſcribit in curſu ſuo, motu
                <lb/>
              ſcilicet compoſite, parabolam vulgatam. </s>
              <s id="s.000493">Verùm enim verò
                <lb/>
              deſcriptionem iſt am neceſſe aliquo pacto eſt ex duabus cauſis
                <lb/>
              vitiari, hoc est ab aeris reſiſtentia, & perpendiculis non in­
                <lb/>
              terſe parallelis, quippe in idem,
                <expan abbr="vnumq;">vnumque</expan>
              punctum, vniuerſi
                <lb/>
              centrum, conuergentibus.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000494">
                <emph type="center"/>
              PROP. XIII. THEOR. IX.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000495">SI ab aſſumpto hyperbolæ puncto, recta axi primo pa­
                <lb/>
                <arrow.to.target n="marg108"/>
                <lb/>
              rallela deducatur, quæ ad ſecundam diametrum per­
                <lb/>
              tingat; Quadrilineum comprehenſum ab ipſa curua hy­
                <lb/>
              perbolica. </s>
              <s id="s.000496">& dictis tribus rectis, erit imago velocitatis il-</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum