Clavius, Christoph, Geometria practica

Table of figures

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          <pb o="5" file="035" n="35" rhead="LIBER PRIMVS."/>
          <p>
            <s xml:id="echoid-s250" xml:space="preserve">1. </s>
            <s xml:id="echoid-s251" xml:space="preserve">
              <emph style="sc">Qvando</emph>
            enim linea recta propoſita rectæ AF, vel AG, in priorifa-
              <lb/>
              <note position="right" xlink:label="note-035-01" xlink:href="note-035-01a" xml:space="preserve">Centeſimæ,
                <lb/>
              vel milleſimæ
                <lb/>
              part{es} in recta
                <lb/>
              linea quo mo-
                <lb/>
              do accipian-
                <lb/>
              tur.</note>
            cie inſtrumenti æqualis eſt, nullo negotio ex ea abſcindẽtur quotcunq; </s>
            <s xml:id="echoid-s252" xml:space="preserve">par-
              <lb/>
            tes centeſimæ, aut milleſi-
              <lb/>
              <figure xlink:label="fig-035-01" xlink:href="fig-035-01a" number="10">
                <image file="035-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/035-01"/>
              </figure>
            mæ, prout inſtrumentum in
              <lb/>
            100. </s>
            <s xml:id="echoid-s253" xml:space="preserve">aut 1000. </s>
            <s xml:id="echoid-s254" xml:space="preserve">partes fuerit
              <lb/>
            diuiſum; </s>
            <s xml:id="echoid-s255" xml:space="preserve">ſi nimirum partes,
              <lb/>
            quæ deſiderantur, exinſtru-
              <lb/>
            mento in datam rectam
              <lb/>
            transferantur.</s>
            <s xml:id="echoid-s256" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s257" xml:space="preserve">2. </s>
            <s xml:id="echoid-s258" xml:space="preserve">
              <emph style="sc">Qvand</emph>
            doero pro-
              <lb/>
            poſita linea non eſt æqualis
              <lb/>
            rectæ AF, vel AG, in inſtru-
              <lb/>
            mento, dilatandum inſtru-
              <lb/>
            mentum eſt, vel conſtrin-
              <lb/>
            gendum, donec interual-
              <lb/>
            lum inter F, G, datę lineę ſit
              <lb/>
            æquale. </s>
            <s xml:id="echoid-s259" xml:space="preserve">Nam circinus inter
              <lb/>
            partes rectarum AF, AG,
              <lb/>
            quę deſiderantur, extenſus
              <lb/>
            dabit in recta propoſita
              <lb/>
            partes quęſitas. </s>
            <s xml:id="echoid-s260" xml:space="preserve">Vt ſi data
              <lb/>
            recta æqualis ſitipſi FG, & </s>
            <s xml:id="echoid-s261" xml:space="preserve">
              <lb/>
            deſiderẽtur 50 partes cen-
              <lb/>
            teſimæ, continebit interual-
              <lb/>
            lum inter partes 50. </s>
            <s xml:id="echoid-s262" xml:space="preserve">& </s>
            <s xml:id="echoid-s263" xml:space="preserve">50.
              <lb/>
            </s>
            <s xml:id="echoid-s264" xml:space="preserve">in lineis AF, AG, partes 50. </s>
            <s xml:id="echoid-s265" xml:space="preserve">
              <lb/>
            ex 100. </s>
            <s xml:id="echoid-s266" xml:space="preserve">in quas recta FG,
              <lb/>
            cogitatur eſſe diuiſa. </s>
            <s xml:id="echoid-s267" xml:space="preserve">quod
              <lb/>
            ſic demonſtratur. </s>
            <s xml:id="echoid-s268" xml:space="preserve">
              <note symbol="a" position="right" xlink:label="note-035-02" xlink:href="note-035-02a" xml:space="preserve">2. ſext.</note>
            FG, & </s>
            <s xml:id="echoid-s269" xml:space="preserve">50. </s>
            <s xml:id="echoid-s270" xml:space="preserve">50. </s>
            <s xml:id="echoid-s271" xml:space="preserve">(ſi concipia-
              <lb/>
            tur ducta recta à parte 50. </s>
            <s xml:id="echoid-s272" xml:space="preserve">ad
              <lb/>
            partem 50.) </s>
            <s xml:id="echoid-s273" xml:space="preserve">parallelæ ſunt; </s>
            <s xml:id="echoid-s274" xml:space="preserve">propterea quod latera AF, AG, proportionali-
              <lb/>
            ter ſecta ſuntin 50. </s>
            <s xml:id="echoid-s275" xml:space="preserve">& </s>
            <s xml:id="echoid-s276" xml:space="preserve">50. </s>
            <s xml:id="echoid-s277" xml:space="preserve">Sunt enim tam AF, AG, quam A 50, A 50, æquales.
              <lb/>
            </s>
            <s xml:id="echoid-s278" xml:space="preserve"> Igitur erit vt A 50. </s>
            <s xml:id="echoid-s279" xml:space="preserve">ad rectam 50. </s>
            <s xml:id="echoid-s280" xml:space="preserve">50. </s>
            <s xml:id="echoid-s281" xml:space="preserve">ita AF, ad FG. </s>
            <s xml:id="echoid-s282" xml:space="preserve">Et permutando vt A 50.</s>
            <s xml:id="echoid-s283" xml:space="preserve">
              <note symbol="b" position="right" xlink:label="note-035-03" xlink:href="note-035-03a" xml:space="preserve">4. ſexti.</note>
            ad AF, ita recta 50. </s>
            <s xml:id="echoid-s284" xml:space="preserve">50. </s>
            <s xml:id="echoid-s285" xml:space="preserve">ad FG. </s>
            <s xml:id="echoid-s286" xml:space="preserve">Cum ergo A 50. </s>
            <s xml:id="echoid-s287" xml:space="preserve">contineat partes 50. </s>
            <s xml:id="echoid-s288" xml:space="preserve">ex 100.
              <lb/>
            </s>
            <s xml:id="echoid-s289" xml:space="preserve">totius AF, continebit quoque recta 50. </s>
            <s xml:id="echoid-s290" xml:space="preserve">50. </s>
            <s xml:id="echoid-s291" xml:space="preserve">partes 50. </s>
            <s xml:id="echoid-s292" xml:space="preserve">ex 100. </s>
            <s xml:id="echoid-s293" xml:space="preserve">in quas diuiſa
              <lb/>
            eſſe concipitur FG. </s>
            <s xml:id="echoid-s294" xml:space="preserve">Eademque ratio eſt de cæteris. </s>
            <s xml:id="echoid-s295" xml:space="preserve">Nam verbi gratia inter-
              <lb/>
            uallum quo que interpuncta 80. </s>
            <s xml:id="echoid-s296" xml:space="preserve">& </s>
            <s xml:id="echoid-s297" xml:space="preserve">80. </s>
            <s xml:id="echoid-s298" xml:space="preserve">partes 80. </s>
            <s xml:id="echoid-s299" xml:space="preserve">comple ctetur ex 100. </s>
            <s xml:id="echoid-s300" xml:space="preserve">totius
              <lb/>
            FG, &</s>
            <s xml:id="echoid-s301" xml:space="preserve">c. </s>
            <s xml:id="echoid-s302" xml:space="preserve">quæ demonſtratio locum etiam habet, ſi in AF, contineantur 1000. </s>
            <s xml:id="echoid-s303" xml:space="preserve">
              <lb/>
              <handwritten xlink:label="hd-035-02" xlink:href="hd-035-02a" number="3"/>
            partes, vt conſtat.</s>
            <s xml:id="echoid-s304" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s305" xml:space="preserve">
              <emph style="sc">Non</emph>
            aliter, propoſitis duabus rectis, quarum altera in quotlibet partes
              <lb/>
              <note position="right" xlink:label="note-035-04" xlink:href="note-035-04a" xml:space="preserve">Diuiſa recta
                <lb/>
              in quotuis par
                <lb/>
              tes æqual{es},
                <lb/>
              quot eiuſmo-
                <lb/>
              di part{es} in
                <lb/>
              quauis al ia
                <lb/>
              contineantur.</note>
            æquales cogitetur eſſe diuiſa, cognoſcemus, quotnam ex illis partibus alte-
              <lb/>
            ra recta contineat; </s>
            <s xml:id="echoid-s306" xml:space="preserve">hac ſcilicet ratione. </s>
            <s xml:id="echoid-s307" xml:space="preserve">Aperto inſtrumento, ſtatuatur inter-
              <lb/>
            uallum rectæ diuiſæ inter partes, in quas diuiſa intelligitur. </s>
            <s xml:id="echoid-s308" xml:space="preserve">Nam ſi altera per
              <lb/>
            circinum tran sferatur inter duas alias partes eaſdem, vel inter duo puncta ab
              <lb/>
            eiſdem duabus partibus æqualiter diſtantia, continebit illa recta tot </s>
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