Clavius, Christoph, Geometria practica

Table of figures

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            <s xml:id="echoid-s4233" xml:space="preserve">
              <pb o="109" file="139" n="139" rhead="LIBER TERTIVS."/>
            eſt, vt BE, ad AB, ita AF, ad GF; </s>
            <s xml:id="echoid-s4234" xml:space="preserve">erit permutando, vt BE, ad AF, ita AB, ad
              <note symbol="a" position="right" xlink:label="note-139-01" xlink:href="note-139-01a" xml:space="preserve">4. ſexti.</note>
            FG. </s>
            <s xml:id="echoid-s4235" xml:space="preserve">Eademque ratione erit vt b H, ad a F, ita a b, ad FG; </s>
            <s xml:id="echoid-s4236" xml:space="preserve">ac proinde erit, vt tota
              <lb/>
            BE, ad totam AF, ita ablata b H, vel B I, ad ablatam a F, cum vtraque propor-
              <lb/>
            tio ſit, quæ AB, vel a b, ad FG.</s>
            <s xml:id="echoid-s4237" xml:space="preserve"/>
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          <figure number="66">
            <image file="139-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/139-01"/>
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          <p>
            <s xml:id="echoid-s4238" xml:space="preserve">Igitur erit quo que reliqua IE, ad reliquam A a, vt tota BE, ad totam AF, hoc
              <lb/>
            eſt, vt AB, ad FG, cum duæ hę proportiones eædem inter ſe ſint, vt paulò ant@
              <lb/>
            demonſtrauimus. </s>
            <s xml:id="echoid-s4239" xml:space="preserve">Quo circa ſi fiat,</s>
          </p>
          <note style="it" position="right" xml:space="preserve">
            <lb/>
          Vt IE, differentia vmbra- \\ rum rectarum # Ad Aa, differentiam ſta- \\ tionum: # Ita A B, quadrati
            <unsure/>
          \\ lat{us} 1000. # ad F G,
            <lb/>
          </note>
          <p>
            <s xml:id="echoid-s4240" xml:space="preserve">proſiliet nota altitudo FG, & </s>
            <s xml:id="echoid-s4241" xml:space="preserve">adiuncta menſoris ſtatura FL, tota altitudo G L,
              <lb/>
            quęſita nota efficietur.</s>
            <s xml:id="echoid-s4242" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div274" type="section" level="1" n="119">
          <head xml:id="echoid-head122" xml:space="preserve">ALITER.</head>
          <p style="it">
            <s xml:id="echoid-s4243" xml:space="preserve">DIVIDE quadrati lat{us} 1000. </s>
            <s xml:id="echoid-s4244" xml:space="preserve">per vtramque vmbram rectam, & </s>
            <s xml:id="echoid-s4245" xml:space="preserve">minorem Quo-
              <lb/>
            tientem duc in differ entiam ſtationum, numerumque productum partire per differen-
              <lb/>
            tiam Quotientum. </s>
            <s xml:id="echoid-s4246" xml:space="preserve">Si namque hic vltim{us} Quotiens ducatur in Quotientem maiorem
              <lb/>
            ex priorib{us} duob{us} Quotientib{us}, produc{et}ur altitudo quæſi@a in partib{us} differentiæ
              <lb/>
            ſtationum. </s>
            <s xml:id="echoid-s4247" xml:space="preserve">Quod ita perſpicuum fi{et}.</s>
            <s xml:id="echoid-s4248" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4249" xml:space="preserve">
              <emph style="sc">Sit</emph>
            vmbra recta minor b H. </s>
            <s xml:id="echoid-s4250" xml:space="preserve">50. </s>
            <s xml:id="echoid-s4251" xml:space="preserve">verbi gratia, & </s>
            <s xml:id="echoid-s4252" xml:space="preserve">maior B E, 125. </s>
            <s xml:id="echoid-s4253" xml:space="preserve">at differentia
              <lb/>
            ſtationum Aa, ſit 16. </s>
            <s xml:id="echoid-s4254" xml:space="preserve">paſſuum. </s>
            <s xml:id="echoid-s4255" xml:space="preserve"> Et quia eſt, vt b H, ad a b, ita a F, quatenus 1. </s>
            <s xml:id="echoid-s4256" xml:space="preserve">
              <note symbol="b" position="right" xlink:label="note-139-03" xlink:href="note-139-03a" xml:space="preserve">4. ſexti.</note>
            F G; </s>
            <s xml:id="echoid-s4257" xml:space="preserve">ſi a b, 1000. </s>
            <s xml:id="echoid-s4258" xml:space="preserve">diuidatur per b H, 50. </s>
            <s xml:id="echoid-s4259" xml:space="preserve">indicabit Quotiens 20. </s>
            <s xml:id="echoid-s4260" xml:space="preserve">rectam a F, in
              <lb/>
            F G, contineri vicies.</s>
            <s xml:id="echoid-s4261" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4262" xml:space="preserve">
              <emph style="sc">Sic</emph>
            etiam, quia eſt, vt BE, ad A B, ita AF, quatenus 1, ad FG; </s>
            <s xml:id="echoid-s4263" xml:space="preserve">ſi A B, 1000.</s>
            <s xml:id="echoid-s4264" xml:space="preserve">
              <note symbol="c" position="right" xlink:label="note-139-04" xlink:href="note-139-04a" xml:space="preserve">4. ſexti.</note>
            diuidatur per BE, 125. </s>
            <s xml:id="echoid-s4265" xml:space="preserve">monſtrabit Quotiens 8. </s>
            <s xml:id="echoid-s4266" xml:space="preserve">rectam AF, in FG, contineri o-
              <lb/>
            cties. </s>
            <s xml:id="echoid-s4267" xml:space="preserve">Quia itaque A a, 16. </s>
            <s xml:id="echoid-s4268" xml:space="preserve">paſſuum vna cum a F, continetur in FG, octies, fit vt
              <lb/>
            Aa, 16. </s>
            <s xml:id="echoid-s4269" xml:space="preserve">paſſuum octies ſumpta, vna cum a F, octies quoque ſumpta, faciat 128.
              <lb/>
            </s>
            <s xml:id="echoid-s4270" xml:space="preserve">paſſus, & </s>
            <s xml:id="echoid-s4271" xml:space="preserve">a F, octies ſumptam, nimirum numerum ipſi F G, æqualem. </s>
            <s xml:id="echoid-s4272" xml:space="preserve">Eſt </s>
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