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

Page concordance

< >
Scan Original
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
< >
page |< < of 207 > >|
    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <pb xlink:href="077/01/088.jpg" pagenum="84"/>
            <p id="N12F72" type="head">
              <s id="N12F74">PROPOSITIO. X.</s>
            </p>
            <p id="N12F76" type="main">
              <s id="N12F78">Omnis parallelogrammi centrum grauitatis
                <lb/>
              eſt punctum, in quo diametri coincidunt. </s>
            </p>
            <p id="N12F7C" type="main">
              <s id="N12F7E">
                <emph type="italics"/>
              Sit parallelogrammum
                <lb/>
              ABCD. & in ipſo ſit li­
                <lb/>
              nea EF
                <emph.end type="italics"/>
              bifariam
                <emph type="italics"/>
                <expan abbr="ſecãs">ſecans</expan>
                <emph.end type="italics"/>
                <lb/>
                <arrow.to.target n="fig35"/>
                <lb/>
                <emph type="italics"/>
              latera AB CD. itidem­
                <lb/>
              què ſit KL
                <expan abbr="ſecãs">ſecans</expan>
              AC BD
                <emph.end type="italics"/>
                <lb/>
              bifariam. </s>
              <s id="N12FA3">conueniant­
                <lb/>
              què EF kL in H.
                <emph type="italics"/>
              est
                <lb/>
              vti〈que〉 parallelogrammi
                <emph.end type="italics"/>
                <lb/>
                <arrow.to.target n="marg85"/>
                <emph type="italics"/>
              ABCD centrum grauita
                <lb/>
              tis in linea EF. hoc enim
                <lb/>
              oſtenſum eſt. </s>
              <s id="N12FBB">eadem verò de cauſa
                <emph.end type="italics"/>
              centrum grauitatis ipſius AD
                <emph type="italics"/>
              est
                <lb/>
              etiam in linea
                <emph.end type="italics"/>
              K
                <emph type="italics"/>
              L. quare punctum H
                <emph.end type="italics"/>
              parallelogrammi AD
                <emph type="italics"/>
              cen­
                <lb/>
              trum grauitatis existit. </s>
              <s id="N12FD3">Verùm in puncio H diametri parallelogram­
                <lb/>
              mi concurrunt.
                <emph.end type="italics"/>
              ductis enim lineis AH HB CH HD; quoniam
                <lb/>
              lineæ AE EB EF FD inter ſe ſunt ęquales. </s>
              <s id="N12FDC">ſimiliter quo〈que〉
                <lb/>
              AK KC BL LD inter ſe ęquales; erit EH ipſi HF ęqua
                <lb/>
              lis, cùm ſint ipſis BL LD ęquales. </s>
              <s id="N12FE2">duæ igitur AE EH dua
                <lb/>
                <arrow.to.target n="marg86"/>
              bus DF FH ſunt æquales, & angulus AEH angulo DFH
                <lb/>
                <arrow.to.target n="marg87"/>
              ęqualis; erit triangulum AEH triangulo DFH ęquale. </s>
              <s id="N12FF0">ac
                <lb/>
              propterea angulus EHA angulo FHD æqualis. </s>
              <s id="N12FF4">cùm igitur
                <lb/>
              ſit EHF recta linea, eruntangnli EHA FHD adverticem,
                <lb/>
              & obid AHD recta exiſtit linea. </s>
              <s id="N12FFA">ac per conſe〈que〉ns diame­
                <lb/>
              ter parallelogrammi AD. pariquè ratione oſtendetur BHC
                <lb/>
              rectam eſſe lineam. </s>
              <s id="N13000">ex quibus patet in puncto H
                <expan abbr="vtrã〈que〉">vtran〈que〉</expan>
              dia
                <lb/>
              metrum conuenire. </s>
              <s id="N13008">centrum igitur grauitatis parallelogram­
                <lb/>
              mi AD eſt
                <expan abbr="pũctum">punctum</expan>
              , in quo diametri concurrunt.
                <emph type="italics"/>
              Quare demon
                <lb/>
              stratumeſt, quod propoſitum fuit.
                <emph.end type="italics"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum