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

Table of figures

< >
[Figure 91]
Page: 143
[Figure 92]
Page: 143
[Figure 93]
Page: 144
[Figure 94]
Page: 146
[Figure 95]
Page: 147
[Figure 96]
Page: 148
[Figure 97]
Page: 154
[Figure 98]
Page: 154
[Figure 99]
Page: 157
[Figure 100]
Page: 158
[Figure 101]
Page: 158
[Figure 102]
Page: 162
[Figure 103]
Page: 162
[Figure 104]
Page: 164
[Figure 105]
Page: 167
[Figure 106]
Page: 168
[Figure 107]
Page: 170
[Figure 108]
Page: 173
[Figure 109]
Page: 173
[Figure 110]
Page: 174
[Figure 111]
Page: 177
[Figure 112]
Page: 177
[Figure 113]
Page: 180
[Figure 114]
Page: 180
[Figure 115]
Page: 181
[Figure 116]
Page: 181
[Figure 117]
Page: 182
[Figure 118]
Page: 193
[Figure 119]
Page: 193
[Figure 120]
Page: 193
< >
page |< < of 207 > >|
    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <pb xlink:href="077/01/092.jpg" pagenum="88"/>
            <p id="N131E6" type="margin">
              <s id="N131E8">
                <margin.target id="marg92"/>
              6.& 7
                <emph type="italics"/>
              poſt
                <lb/>
              huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N131F3" type="head">
              <s id="N131F5">SCHOLIVM.</s>
            </p>
            <p id="N131F7" type="main">
              <s id="N131F9">In hac propoſitione ſupponit Archimedes dari poſſe pun­
                <lb/>
              cta in triangulis ſimilib^{9} ſimiliter poſita, qd
                <expan abbr="quidẽ">quidem</expan>
              ſieri poſſe
                <lb/>
              oſtendimus in ſcholijs ſeptimi poſtulati. </s>
              <s id="N13203">Præterea idem vide­
                <lb/>
              tur Archimedes in triangulis demonſtrare, quod in ſexto po­
                <lb/>
              ſtulato vniuerſaliter in figuris ſuppoſuit. </s>
              <s id="N13209">Nam ſi centra gra­
                <lb/>
              uitatis ſupponuntur in ſimilibus figuris eſſe ſimiliter poſita;
                <lb/>
              & in ſimilibus triangulis quo〈que〉 erunt ſimiliter poſita. </s>
              <s id="N1320F">In­
                <lb/>
              ter hęc tamen maxima eſt differentia, nam in poſtulato inquit,
                <lb/>
              centra grauitatum in ſimilibus figuris eſſe ſimiliter poſita; cu
                <lb/>
              ius quidem conuerſum, nempè puncta in ſimilibus figuris ſi­
                <lb/>
              militer poſita eſſe ipſarum centra grauitatis, eſt falium. </s>
              <s id="N13219">quod
                <lb/>
              eſt quidem manifeſtum abſ〈que〉 alio exemplo. </s>
              <s id="N1321D">ac propterea
                <lb/>
              Archimedes hoc in loco inquit, ſi duo erunt punſta in ſimi­
                <lb/>
              libus triangulis ſimiliter poſita, & alterum ipſorum fuerit
                <expan abbr="cẽ-trum">cen­
                  <lb/>
                trum</expan>
              grauitatis. </s>
              <s id="N13229">& alterum quo〈que〉
                <expan abbr="cẽtrum">centrum</expan>
              grauitatis exiſtet.
                <lb/>
              Vnde propoſitio hęc potiùs eſt conuerſa poſtulati, quàm
                <lb/>
              eadem. </s>
            </p>
            <p id="N13233" type="main">
              <s id="N13235">Ob demonſtrationem autem nouiſſe oportet, quòd ſi pun
                <lb/>
              ctum G fuerit in linea DN, tuncanguli EDG EDN eſſent in
                <lb/>
              terſe ęquales, ac propterea demonſtratio nihil abſurdi conclu
                <lb/>
              deret. </s>
              <s id="N1323D">In hoc autem caſu oſtendendum eſſet, angulum EFG
                <lb/>
              ipſi EFN ęqualem eſſe, vel FEG ipſi FEN. quæ quidem eo­
                <lb/>
              dem prorſus modo oſtendentur. </s>
              <s id="N13243">comparando nempè angu­
                <lb/>
              los EFG EFN angulo BCH; angulos verò FEG FEN ipſi
                <lb/>
              CBH. Quòd ſi G fuerit in alio ſitu, vt in triangulo EDN,
                <lb/>
              tuncanguli FDG FDN oſtendentur ęquales. </s>
              <s id="N1324B">& ita in alijs
                <lb/>
              caſibus, vbicun〈que〉 ſcilicet fuerit punctum G, ſemper ali­
                <lb/>
              quod inuenietur huiuſmodi abſurdum. </s>
              <s id="N13251">quæ quidem omni­
                <lb/>
              nò fieri non poſſunt. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum