DelMonte, Guidubaldo, In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata

Page concordance

< >
Scan Original
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
< >
page |< < of 207 > >|
    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <p id="N1215A" type="main">
              <s id="N12310">
                <pb xlink:href="077/01/067.jpg" pagenum="63"/>
              LH, HE, EC, CG, inter ſe ſunt æquales; erunt ST TV VX in
                <lb/>
              terſe æquales. </s>
              <s id="N1231C">quare lineæ inter centra grauitatis magnitudi­
                <lb/>
              num STVX exiſtentes ſunt inter ſe ęquales.
                <emph type="italics"/>
              omnes verò magni
                <lb/>
              tudines
                <emph.end type="italics"/>
              STVX ſimul
                <emph type="italics"/>
              ſunt æquales ipſi A
                <emph.end type="italics"/>
              , quandoquidem ipſis
                <lb/>
              OPQR, & numero, & magnitudine ſunt ęquales; ergo
                <emph type="italics"/>
              magni­
                <lb/>
              tudinis ex omnibus
                <emph.end type="italics"/>
              magnitudinibus STVX
                <emph type="italics"/>
              compoſitæ centrumgra
                <lb/>
              uitatis erit punstum E. cùm omnes
                <emph.end type="italics"/>
              magnitudines STVX
                <emph type="italics"/>
              ſint nu­
                <lb/>
              mero pares.
                <emph.end type="italics"/>
              quippe cùm ſint in ſectionibus LH HE EC CG nu
                <lb/>
              mero paribus. </s>
              <s id="N1234A">&
                <emph type="italics"/>
              LE ipſi EG æqualis exiſtat.
                <emph.end type="italics"/>
              quòd ſi LE eſtipſi
                <lb/>
              EG æqualis, demptis æqualibus LS GX æqualibus, ſiquidem
                <lb/>
              ſunt dimidiæ ſectionum LH CG æqualium: erunt SE
                <arrow.to.target n="marg49"/>
              in­
                <lb/>
              terſe æquales, vnde ex præcedenti colligitur, punctum E cen­
                <lb/>
              trum eſſe grauitatis magnitudinum STVX.
                <emph type="italics"/>
              ſimiliter autem
                <expan abbr="oſtẽ">oſtem</expan>
                <lb/>
              detur, quòd ſi
                <emph.end type="italics"/>
              diuidatur GK in partes GD DK ipſi N æquales;
                <lb/>
              cadetvti〈que〉 diuiſionum aliqua in
                <expan abbr="pũcto">puncto</expan>
              D; ſiquidem Nipſas
                <lb/>
              GD DK metitur; cùm vtra〈que〉 ſit æqualisipſi EC. diuiſioneſ­
                <lb/>
              què GD DK numero pares erunt; cùm N dimidiam
                <arrow.to.target n="marg50"/>
                <lb/>
              GK, ipſam ſcilicet EC metiatur. </s>
              <s id="N12379">ſi ita〈que〉 diuidatur GD DK
                <lb/>
              bifariam in punctis ZM. deinde diuidatur magnitudo B
                <lb/>
              in partes ipſi F æquales; ſectiones GD DH in GK exiſtentes
                <lb/>
              ipſi N æquales, erunt numero æquales ſectionibus in ma
                <lb/>
              gnitudine B exiſtentibus ipſi F æqualibus. </s>
              <s id="N12383">quare
                <emph type="italics"/>
              vnicui〈que〉
                <lb/>
              partium ipſius GK apponatur magnitudo æqualis ipſi F; centrum gra­
                <lb/>
              uitatis habens in medio ſectionis
                <emph.end type="italics"/>
              ; vt
                <expan abbr="ponãtur">ponantur</expan>
              magnitudines ZM in
                <lb/>
              ſectionibus GD DK, ita vt magnitudinum centra grauita­
                <lb/>
              tis, quæ ſint ZM, in medio ſectionum GD DK, in punctis
                <lb/>
              nempè ZM ſint conſtituta,
                <emph type="italics"/>
              omnes autem magnitudines
                <emph.end type="italics"/>
              ZM ſi
                <lb/>
              mul
                <emph type="italics"/>
              ſunt æquales ipſi B. magnitudinis ex omnibus
                <emph.end type="italics"/>
              magnitudinibus
                <lb/>
              ZM
                <emph type="italics"/>
              compoſitæ centrum grauitatis erit punctum D.
                <emph.end type="italics"/>
              cùm ſit ZD
                <lb/>
              ęqualis DM.
                <emph type="italics"/>
              ſed
                <emph.end type="italics"/>
              magnitudines STVX ſunt magnitudini A
                <lb/>
              æquales, & ZM ipſi B ergo
                <emph type="italics"/>
              magnitudo A eſt
                <emph.end type="italics"/>
              tanquam
                <emph type="italics"/>
              impoſita
                <lb/>
              ad E, ipſa verò B ad D.
                <emph.end type="italics"/>
              eodem ſcilicet modo ſe habebit ma­
                <lb/>
              gnitudo A impoſita ad E, vt ſe habent magnitudines STVX;
                <lb/>
              ipſa verò B ſe habebit ad D, vt magnitudines ZM.
                <emph type="italics"/>
              ſunt au
                <lb/>
              tem magnitudines
                <emph.end type="italics"/>
              STVXZM
                <emph type="italics"/>
              inter ſe æquales
                <emph.end type="italics"/>
              , cùm vnaquæ 〈que〉 ſit
                <lb/>
              ipſi F ęqualis: ſuntquè omnes, (hoc eſt ipſarum centra graui
                <lb/>
              tatis)
                <emph type="italics"/>
              inrecta linea poſitæ; quarum centragrauitatis poſita ſunt inter ſe
                <emph.end type="italics"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum