Cavalieri, Buonaventura, Geometria indivisibilibvs continvorvm : noua quadam ratione promota

Page concordance

< >
Scan Original
191 171
192 172
193 173
194 174
195 175
196 176
197 177
198 178
199 179
200 180
201 181
202 182
203 183
204 184
205 185
206 186
207 187
208 188
209 189
210 190
211 191
212 192
213 193
214 194
215 195
216
217 197
218 198
219 199
220 200
< >
page |< < (195) of 569 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div491" type="section" level="1" n="296">
          <p style="it">
            <s xml:id="echoid-s4833" xml:space="preserve">
              <pb o="195" file="0215" n="215" rhead="LIBER II."/>
            ſct Icoſaedrum, AC, &</s>
            <s xml:id="echoid-s4834" xml:space="preserve">, AB, recta linea ipſius latere minor, non diſ-
              <lb/>
            ſimiliter, ac in cubis inuenta eſſent Icoſaedra, AD, DB, quorum diffe-
              <lb/>
            rentia eſſet æqualis dato Icoſaedro, AC, nec non eorumdem laterum bo-
              <lb/>
            mologorum differentia æqualis datæ rectæ lineæ, AB. </s>
            <s xml:id="echoid-s4835" xml:space="preserve">Sic etiam datæ
              <lb/>
            Sphæræ Orbem datæ craſſitici, minoris tamen illius ſemidiametro, æqua-
              <lb/>
            lem poſſibile erit inuenire. </s>
            <s xml:id="echoid-s4836" xml:space="preserve">Vniuerſaliſſimè autem dato quocumq. </s>
            <s xml:id="echoid-s4837" xml:space="preserve">ſolido,
              <lb/>
            duorum ipſi dato ſimilium differentiam æqualem poſſibile erit inuenire,
              <lb/>
            quorum pariter linearum, ſeu laterum bomologorum differentia ſit da-
              <lb/>
            ta, dummodo ea ſit minor linea, ſeu latere propoſiti ſolidi prædictis
              <lb/>
            bomologo, quodex ſuperius dictis facilè conſiare poteſt.</s>
            <s xml:id="echoid-s4838" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div492" type="section" level="1" n="297">
          <head xml:id="echoid-head313" xml:space="preserve">SCHOLIVM.</head>
          <p style="it">
            <s xml:id="echoid-s4839" xml:space="preserve">NOnnulla autem ex præfatis proximis Propoſitionibus etiam ab
              <lb/>
            alijs oſtenſæ fuerunt, ſed ne Lectori ad alios Libros pro barum
              <lb/>
            captu eſſet recurrendum, bic eas adiungere placuit, pręcipuè cum ea-
              <lb/>
            rum adductę demonſtrationes abaliorum Auctorum rationibus, ni fal-
              <lb/>
            lor, non parum ſint differentes, cum ferè omnes ex vnica Propoſ. </s>
            <s xml:id="echoid-s4840" xml:space="preserve">35.
              <lb/>
            </s>
            <s xml:id="echoid-s4841" xml:space="preserve">via ſatis compendioſa deductæ ſint; </s>
            <s xml:id="echoid-s4842" xml:space="preserve">qued olim me circa Propoſitiones
              <lb/>
            Secundi Elem. </s>
            <s xml:id="echoid-s4843" xml:space="preserve">à prima nempè vſq; </s>
            <s xml:id="echoid-s4844" xml:space="preserve">ad 10. </s>
            <s xml:id="echoid-s4845" xml:space="preserve">præſtitiſſe memini, eas omnes
              <lb/>
            ex prima compendioſiſſimè demonſtrando, vt etiam poſtmodum, & </s>
            <s xml:id="echoid-s4846" xml:space="preserve">Pa-
              <lb/>
            trem Clauium feciſſe animaduerti.</s>
            <s xml:id="echoid-s4847" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div493" type="section" level="1" n="298">
          <head xml:id="echoid-head314" xml:space="preserve">Finis Secundi Libri.</head>
          <figure number="130">
            <image file="0215-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0215-01"/>
          </figure>
        </div>
      </text>
    </echo>
Impressum