Commandino, Federico, Liber de centro gravitatis solidorum, 1565

Page concordance

< >
Scan Original
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
< >
page |< < of 101 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000791">
                <pb xlink:href="023/01/082.jpg"/>
              fruſtum pyramidis ſit abſciſſum. </s>
              <s id="s.000792">erit ex iis quæ proxime
                <lb/>
              tradidimus, fruſti pyramidis ad centrum grauitatis l. </s>
              <s id="s.000793">Quo
                <lb/>
              niam igitur portiones ſpacio o minores ſunt; habebit cir
                <lb/>
                <figure id="id.023.01.082.1.jpg" xlink:href="023/01/082/1.jpg" number="71"/>
                <lb/>
              culus, uel ellipſis ab ad
                <lb/>
              portiones dictas
                <expan abbr="maiorẽ">maiorem</expan>
                <lb/>
              proportionem, quàm nl
                <lb/>
              ad lm. </s>
              <s id="s.000794">ſed ut circulus, uel
                <lb/>
              ellipſis ab ad portiones,
                <lb/>
              ita apb conus, uel coni
                <lb/>
              portio ad ſolidas portio­
                <lb/>
              nes, id quod ſupra demon
                <lb/>
              ſtratum eſt: & ut circulus
                <lb/>
                <arrow.to.target n="marg95"/>
                <lb/>
              uel ellipſis cd ad portio­
                <lb/>
              nes, quæ ip ſi inſunt, ita co
                <lb/>
              nus, uel coni portio cpd
                <lb/>
              ad ſolidas ipſius portio­
                <lb/>
              nes. </s>
              <s id="s.000795">Quòd cum figuræ in
                <lb/>
              circulis, uel ellipſibus ab
                <lb/>
              cd deſcriptæ ſimiles ſint,
                <lb/>
              erit proportio circuli, uel
                <lb/>
              ellipſis ab ad ſuas portio
                <lb/>
              nes,
                <expan abbr="eadẽ">eadem</expan>
              , quæ circuli uel
                <lb/>
              ellipſis cd ad ſuas. </s>
              <s id="s.000796">ergo
                <lb/>
              conus, uel coni portio ap
                <lb/>
              b ad portiones ſolidas
                <expan abbr="eã-dem">ean­
                  <lb/>
                dem</expan>
              habet
                <expan abbr="proportionẽ">proportionem</expan>
              ,
                <lb/>
              quam conus, uel coni por
                <lb/>
              tio cpd ad ſolidas ipſius
                <lb/>
                <arrow.to.target n="marg96"/>
                <lb/>
              portiones. </s>
              <s id="s.000797">reliquum igi­
                <lb/>
              tur coni, uel coni portionis
                <expan abbr="fruſtũ">fruſtum</expan>
              , ſcilicet ad ad reliquas
                <lb/>
              portiones ſolidas in ipſo contentas eandem
                <expan abbr="proportionẽ">proportionem</expan>
                <lb/>
              habet, quam conus, uel coni portio apb ad ſolidas portio
                <lb/>
              nes: hoc eſt eandem, quam circulus, uel ellipſis ab ad por
                <lb/>
              tiones planas. </s>
              <s id="s.000798">quare fruſtum coni, uel coni portionis ad </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum