Clavius, Christoph, Geometria practica

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          <pb o="346" file="374" n="374" rhead="GEOMETR. PRACT."/>
          <p>
            <s xml:id="echoid-s16206" xml:space="preserve">
              <emph style="sc">Hoc</emph>
            problema, quod ad quadratum attinet, alio modo ad finem lib. </s>
            <s xml:id="echoid-s16207" xml:space="preserve">2. </s>
            <s xml:id="echoid-s16208" xml:space="preserve">Eu-
              <lb/>
            clid. </s>
            <s xml:id="echoid-s16209" xml:space="preserve">abſoluimus. </s>
            <s xml:id="echoid-s16210" xml:space="preserve">Sit A, datus exceſſus diametri quadrati cuiuſpiam ſupra la-
              <lb/>
            tus. </s>
            <s xml:id="echoid-s16211" xml:space="preserve">Fiat quodcunque quadratum B C D E, cuius diameter B D, excedat latus
              <lb/>
              <figure xlink:label="fig-374-01" xlink:href="fig-374-01a" number="262">
                <image file="374-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/374-01"/>
              </figure>
            exceſſu D F; </s>
            <s xml:id="echoid-s16212" xml:space="preserve">qui ſi æqualis fuerit dato exceſſui A; </s>
            <s xml:id="echoid-s16213" xml:space="preserve">factum erit, quod iubetur: </s>
            <s xml:id="echoid-s16214" xml:space="preserve">Si
              <lb/>
            vero inæqualis, fiat vt DF, ad datum exceſſum A, ita diameter BD, ad BG,
              <note symbol="a" position="left" xlink:label="note-374-01" xlink:href="note-374-01a" xml:space="preserve">12. ſexti.</note>
            ficiatur que quadratum H I; </s>
            <s xml:id="echoid-s16215" xml:space="preserve">quod dico eſſeid, quod quæritur. </s>
            <s xml:id="echoid-s16216" xml:space="preserve">Sumpta enim
              <lb/>
            recta GK, ipſi A, æquali, quoniam eſt per conſtructionem, vt tota BD, ad totam
              <lb/>
            BG, ita DF, ablata ad A, hoc eſt, ad GK, ablatam; </s>
            <s xml:id="echoid-s16217" xml:space="preserve"> erit quoq; </s>
            <s xml:id="echoid-s16218" xml:space="preserve">vt tota BD,
              <note symbol="b" position="left" xlink:label="note-374-02" xlink:href="note-374-02a" xml:space="preserve">19. quinti.</note>
            tam BG, ita reliqua BF, ad reliquam BK. </s>
            <s xml:id="echoid-s16219" xml:space="preserve">Et permutando, vt BD, ad BF, ita BG,
              <lb/>
            ad BK,. </s>
            <s xml:id="echoid-s16220" xml:space="preserve"> Eſt autem vt BD, ad BF, ita BD, ad BC, (quod BF, BC, æquales ſint;</s>
            <s xml:id="echoid-s16221" xml:space="preserve">
              <note symbol="c" position="left" xlink:label="note-374-03" xlink:href="note-374-03a" xml:space="preserve">7. quinti.</note>
            cum DF, ponatur ex ceſſus diametri BD, ſupra latus BC.) </s>
            <s xml:id="echoid-s16222" xml:space="preserve"> Et vt BD, ad BC,
              <note symbol="d" position="left" xlink:label="note-374-04" xlink:href="note-374-04a" xml:space="preserve">4. ſexti.</note>
            BG, ad BH. </s>
            <s xml:id="echoid-s16223" xml:space="preserve">Igitur erit quo que vt BG, ad BK, ita BG, ad BH; </s>
            <s xml:id="echoid-s16224" xml:space="preserve"> Acproinde
              <note symbol="e" position="left" xlink:label="note-374-05" xlink:href="note-374-05a" xml:space="preserve">9. quinti.</note>
            BH, æquales erunt. </s>
            <s xml:id="echoid-s16225" xml:space="preserve">Diameter ergo BG, ſuperatlatus BH, hoc eſt, BK, recta GK,
              <lb/>
            quæ dato ex ceſſui A, æqualis eſt. </s>
            <s xml:id="echoid-s16226" xml:space="preserve">Quod eſt propoſitum.</s>
            <s xml:id="echoid-s16227" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s16228" xml:space="preserve">
              <emph style="sc">Sit</emph>
            deinde A, exceſſus diametri in Rhombo aliquo ſupra latus, vna cum
              <lb/>
            angulo L, datus. </s>
            <s xml:id="echoid-s16229" xml:space="preserve">Fiat Rhombus quicunque BCDE, habens angulum C, æqua-
              <lb/>
            lem dato angulo L, vt in primo Rhombo, vel angulum B, vt in ſecundo. </s>
            <s xml:id="echoid-s16230" xml:space="preserve">Siue
              <lb/>
            ergo diameter opponi debeat dato angulo C, vt in primo Rhombo, ſiue datum
              <lb/>
            angulum B, ſecare, vt in ſecundo, ducatur diameter B D, excedens latus B C,
              <lb/>
            recta DF, quæ ſi æqualis fuerit dato exceſſui A, factum erit, quo diubetur: </s>
            <s xml:id="echoid-s16231" xml:space="preserve">Si ve-
              <lb/>
              <figure xlink:label="fig-374-02" xlink:href="fig-374-02a" number="263">
                <image file="374-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/374-02"/>
              </figure>
            ro inæqualis, fiat vt D F, ad exceſſum datum A, ita diameter B D, ad B G,
              <note symbol="f" position="left" xlink:label="note-374-06" xlink:href="note-374-06a" xml:space="preserve">12. ſexti.</note>
            pleaturque Rhombus HI, quem dico eſſe, eum, qui quæritur. </s>
            <s xml:id="echoid-s16232" xml:space="preserve">Abſciſſa enimre-
              <lb/>
            cta GK, exceſſui dato A, ęquali, adhibenda eſt, eadem omnino demonſtratio,
              <lb/>
            quæ in quadrato facta eſt.</s>
            <s xml:id="echoid-s16233" xml:space="preserve"/>
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