Clavius, Christoph, Geometria practica

Table of figures

< >
[Figure 261]
Page: 373
[Figure 262]
Page: 374
[Figure 263]
Page: 374
[Figure 264]
Page: 375
[Figure 265]
Page: 376
[Figure 266]
Page: 377
[Figure 267]
Page: 378
[Figure 268]
Page: 379
[Figure 269]
Page: 380
[Figure 270]
Page: 381
[Figure 271]
Page: 381
[Figure 272]
Page: 382
[Figure 273]
Page: 383
[Figure 274]
Page: 383
[Figure 275]
Page: 383
[Figure 276]
Page: 384
[Figure 277]
Page: 385
[Figure 278]
Page: 386
[Figure 279]
Page: 387
[Figure 280]
Page: 388
[Figure 281]
Page: 389
[Figure 282]
Page: 390
[Figure 283]
Page: 391
[Figure 284]
Page: 392
[Figure 285]
Page: 393
[Figure 286]
Page: 393
[Figure 287]
Page: 394
[Figure 288]
Page: 394
[Figure 289]
Page: 397
[Figure 290]
Page: 398
< >
page |< < (234) of 450 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div674" type="section" level="1" n="237">
          <p>
            <s xml:id="echoid-s10948" xml:space="preserve">
              <pb o="234" file="264" n="264" rhead="GEOMETR. PRACT."/>
            referent ſemiſſes dolij ABEF, CDEB, conos decuratos: </s>
            <s xml:id="echoid-s10949" xml:space="preserve">quos ſi per ea, quæ c-
              <lb/>
            3. </s>
            <s xml:id="echoid-s10950" xml:space="preserve">huius libri ſcripta ſunt, metieris, dabit eorum ſumma dolij propoſiti capa cita-
              <lb/>
            tem. </s>
            <s xml:id="echoid-s10951" xml:space="preserve">Memortamen eſto, profunditatem dolij B E, & </s>
            <s xml:id="echoid-s10952" xml:space="preserve">diametrum circuli A F,
              <lb/>
            menſurandam eſſe intra aſſeres, ita, vt eorum craſsities excludantur; </s>
            <s xml:id="echoid-s10953" xml:space="preserve">vt habea-
              <lb/>
            tur decurtatus conus, cuius baſes ſint circuli BE, AF, & </s>
            <s xml:id="echoid-s10954" xml:space="preserve">c.</s>
            <s xml:id="echoid-s10955" xml:space="preserve"/>
          </p>
          <figure number="169">
            <image file="264-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/264-01"/>
          </figure>
          <p>
            <s xml:id="echoid-s10956" xml:space="preserve">2. </s>
            <s xml:id="echoid-s10957" xml:space="preserve">
              <emph style="sc">Si</emph>
            vero aſſeres dolij verè ſint ali-
              <lb/>
            quo modo circulares, quod nonuulli aſ-
              <lb/>
            ſerunt, concipiendum erit dolium, tan-
              <lb/>
            quam fruſtum quoddam Sphæroidis. </s>
            <s xml:id="echoid-s10958" xml:space="preserve">Nã
              <lb/>
            curuitas aſſerum ſenſibiliter à curuitate
              <lb/>
            Sphæroidis, cuius axes ſunt rectæ KL, BE,
              <lb/>
            non different. </s>
            <s xml:id="echoid-s10959" xml:space="preserve">Sed quia ſolum axis minor
              <lb/>
            nimirum profunditas dolij, data eſt, re-
              <lb/>
            periemus ex puncto A, in Ellipſi dato,
              <lb/>
            maiorem axem KL, hoc modo. </s>
            <s xml:id="echoid-s10960" xml:space="preserve">Interual-
              <lb/>
            lo ſemiſsis minoris axis B G, deſcribatur
              <lb/>
            ex A, arcus ſecans in H, rectam G H, ad angulos rectos ipſi minori axi per eius
              <lb/>
            punctum medium G, ductam: </s>
            <s xml:id="echoid-s10961" xml:space="preserve">& </s>
            <s xml:id="echoid-s10962" xml:space="preserve">ex A, per H, recta emittatur ſecans minorem
              <lb/>
            axem in I. </s>
            <s xml:id="echoid-s10963" xml:space="preserve">Recta enim A I, dabit ſemiſſes G K, G L, maioris axis, vt lib. </s>
            <s xml:id="echoid-s10964" xml:space="preserve">1. </s>
            <s xml:id="echoid-s10965" xml:space="preserve">noſtri
              <lb/>
            Aſtrolabij in ſcholio Lemmatis 50. </s>
            <s xml:id="echoid-s10966" xml:space="preserve">demonſtrauimus. </s>
            <s xml:id="echoid-s10967" xml:space="preserve">Itaq; </s>
            <s xml:id="echoid-s10968" xml:space="preserve">ſi tam ſemiſsis ſphę-
              <lb/>
              <note position="left" xlink:label="note-264-01" xlink:href="note-264-01a" xml:space="preserve">Capacitas do-
                <lb/>
              lij alio modo.</note>
            roidis BKE, quam portio minor AKF, menſuretur, vt cap. </s>
            <s xml:id="echoid-s10969" xml:space="preserve">7. </s>
            <s xml:id="echoid-s10970" xml:space="preserve">traditum eſt, & </s>
            <s xml:id="echoid-s10971" xml:space="preserve">ſo-
              <lb/>
            liditas portionis AKF, ex ſoliditate ſemiſsis BKE, detrahatur, remanebit capaci-
              <lb/>
            tas ſemiſsis dolij ABEF, quæ duplicata totius dolij capa citatem exhibebit. </s>
            <s xml:id="echoid-s10972" xml:space="preserve">V-
              <lb/>
            tram que hanc rationem dolij dimetiendi à vera dolij capacitate non longè ab-
              <lb/>
            eſſe arbitror. </s>
            <s xml:id="echoid-s10973" xml:space="preserve">Paratus tamen interim ſum, ſi quis accuratiorem inuenerit, eam li-
              <lb/>
            benti animo, & </s>
            <s xml:id="echoid-s10974" xml:space="preserve">grato acceptare.</s>
            <s xml:id="echoid-s10975" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div677" type="section" level="1" n="238">
          <head xml:id="echoid-head260" xml:space="preserve">DE AREA CORPORVM.
            <lb/>
          omnino irregularium.</head>
          <head xml:id="echoid-head261" xml:space="preserve">
            <emph style="sc">Capvt</emph>
          XI.</head>
          <p>
            <s xml:id="echoid-s10976" xml:space="preserve">1. </s>
            <s xml:id="echoid-s10977" xml:space="preserve">
              <emph style="sc">TRadvnt</emph>
            ſcriptores nonnulli regulam quandã mechanicam ad cor-
              <lb/>
            pora dimetienda, quæ omnino ſunt irregularia, ita vt ſub regulas Geo-
              <lb/>
            metricas, quæ hactenus explicatæ ſunt, cadere non poſsint: </s>
            <s xml:id="echoid-s10978" xml:space="preserve">cuiuſ-
              <lb/>
            modi ſunt ſtatuæ, vrnæ, amphoræ, fruſta ſaxorum, quæ neque vniformis ſunt
              <lb/>
            craſsitiei, neque latera habent prorſus recta, aut ad baſes perpendicularia, & </s>
            <s xml:id="echoid-s10979" xml:space="preserve">c.
              <lb/>
            </s>
            <s xml:id="echoid-s10980" xml:space="preserve">Hæc ergo regula, quæ nullo modo videtur aſpernanda, ita ſe habet.</s>
            <s xml:id="echoid-s10981" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s10982" xml:space="preserve">
              <emph style="sc">Paretvr</emph>
            arca lignea ex aſſeribus leuigatis, inſtar parallelepipedi cuiuſdã,
              <lb/>
              <note position="left" xlink:label="note-264-02" xlink:href="note-264-02a" xml:space="preserve">Soliditas cu-
                <lb/>
              i{us}libet cor-
                <lb/>
              poris irregu-
                <lb/>
              laris.</note>
            quæ pice ita oblinatur, vt aquam continere poſsit. </s>
            <s xml:id="echoid-s10983" xml:space="preserve">Arca hæc tantæ debet eſſe
              <lb/>
            longitudinis, latitudinis, atq; </s>
            <s xml:id="echoid-s10984" xml:space="preserve">altitu dinis, vt corpus metiendum intra ipſam po-
              <lb/>
            ſitum, a qua totum po ſsit operiri. </s>
            <s xml:id="echoid-s10985" xml:space="preserve">Poſita autem hac arca Horizonti æquidiſtan-
              <lb/>
            te, beneficio libellæ, aut perpendiculi, infun datur in eam tantũ aquæ, quantum
              <lb/>
            ſatis eſt, vt corpus imp oſitum omnino tegat, notentur que diligenter </s>
          </p>
        </div>
      </text>
    </echo>
Impressum