Clavius, Christoph, Geometria practica

Table of figures

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[Figure 281]
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[Figure 282]
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[Figure 283]
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[Figure 284]
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[Figure 285]
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            <s xml:id="echoid-s11611" xml:space="preserve">
              <pb o="251" file="281" n="281" rhead="LIBER SEXTVS."/>
            mos B, H, nullum figuræ latus interſecantes. </s>
            <s xml:id="echoid-s11612" xml:space="preserve"> Siigitur reperiantur ſexrectæ
              <note symbol="a" position="right" xlink:label="note-281-01" xlink:href="note-281-01a" xml:space="preserve">3. hui{us}.</note>
            K L, L M, M N, N O, O P, ſex triangulis
              <lb/>
              <figure xlink:label="fig-281-01" xlink:href="fig-281-01a" number="184">
                <image file="281-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/281-01"/>
              </figure>
            ABC, ACD, ADE, AEF, AFG, AGH,
              <lb/>
            proportionales; </s>
            <s xml:id="echoid-s11613" xml:space="preserve">& </s>
            <s xml:id="echoid-s11614" xml:space="preserve">tota linea L P, ſece-
              <lb/>
            tur in S, ſecundnm datam proportionem
              <lb/>
            Q, ad R; </s>
            <s xml:id="echoid-s11615" xml:space="preserve">atque baſis D E, tertij trianguli
              <lb/>
            (Nam diuiſio nis punctum S, in tertiamli-
              <lb/>
            neam LM, incidit) dato puncto A, oppo-
              <lb/>
            ſita diuidatur in T, vt linea L M, in S, di-
              <lb/>
            uiſa eſt, ducaturque recta A T: </s>
            <s xml:id="echoid-s11616" xml:space="preserve"> Erit
              <note symbol="b" position="right" xlink:label="note-281-02" xlink:href="note-281-02a" xml:space="preserve">1. hui{us}.</note>
            gura ABCDTA, ad figurã ATEFGHA,
              <lb/>
            vt IS, ad SP, hoc eſt, vt Q, ad R.</s>
            <s xml:id="echoid-s11617" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s11618" xml:space="preserve">
              <emph style="sc">Ex</emph>
            angulo B, vel H, non poterit propoſita figura in quamcunque propor-
              <lb/>
            tionem diuidi: </s>
            <s xml:id="echoid-s11619" xml:space="preserve">quia lineæ ex eorum vtrolibet ad oppoſitos angulos emiſſæ par-
              <lb/>
            tim ſecant latera, & </s>
            <s xml:id="echoid-s11620" xml:space="preserve">partim cadunt extra figuram. </s>
            <s xml:id="echoid-s11621" xml:space="preserve">Quod ſi data proportio mi-
              <lb/>
            nor eſſet, quam figuræ BCDEB, (ſi nimirum intelligatur ducta recta BE,) ad figu-
              <lb/>
            ram BEFGHAB, tum demum diuidi poſſet ex B, tota figura in datam propor-
              <lb/>
            tionem: </s>
            <s xml:id="echoid-s11622" xml:space="preserve">propterea quod fierent duo triangula B C D, (ducta videlicet recta
              <lb/>
            B D,) B D E, ad punctum B, quorum baſes ſunt latera figuræ C D, D E; </s>
            <s xml:id="echoid-s11623" xml:space="preserve">alia vero
              <lb/>
            quatuor ABE, AEF, AFG, AGH, ad punctum A, quorum etiam baſes ſunt figu-
              <lb/>
            rælatera AB, EF, FG, GH, &</s>
            <s xml:id="echoid-s11624" xml:space="preserve">c.</s>
            <s xml:id="echoid-s11625" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s11626" xml:space="preserve">
              <emph style="sc">Eodem</emph>
            modo quamcunque figuram rectilineam, etiam irregulariſsimam,
              <lb/>
            partiemur in datam proportionem, non quidem ex quolibet angulo, vel pun-
              <lb/>
            cto dato, (niſi ex eo duci poſsint rectæ ad omnes angulos oppoſitos, ex-
              <lb/>
            ceptis duobus proximis, quæ nullum figuræ latus interſecent: </s>
            <s xml:id="echoid-s11627" xml:space="preserve">cuiuſmo-
              <lb/>
              <figure xlink:label="fig-281-02" xlink:href="fig-281-02a" number="185">
                <image file="281-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/281-02"/>
              </figure>
            di eſſet punctum V, in antecedentifigura) ſed ex aliquo puncto particulari; </s>
            <s xml:id="echoid-s11628" xml:space="preserve">ſi
              <lb/>
            prius figura diuidatur in triangula ex pluribus punctis, ita vt quodlibet
              <lb/>
            triangulum habeat ſaltem vnum latus, quod etiam ſit latus figuræ. </s>
            <s xml:id="echoid-s11629" xml:space="preserve">Vt ſi fi-
              <lb/>
            gura hæc A B C D E F G H I K A, diuidatur in octo triangula, & </s>
            <s xml:id="echoid-s11630" xml:space="preserve">illis in recta
              <lb/>
            L T, inueniantur totidem lineæ proportionales, totaq; </s>
            <s xml:id="echoid-s11631" xml:space="preserve">linea L T, ſecetur in
              <note symbol="c" position="right" xlink:label="note-281-03" xlink:href="note-281-03a" xml:space="preserve">3. hui{us}.</note>
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