Vitruvius, De architectura libri decem, 1567

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              <s xml:id="echoid-s21293" xml:space="preserve">
                <pb o="279" file="514.01.311" n="311" rhead="NONVS."/>
              quo ſolida conduplicari, & </s>
              <s xml:id="echoid-s21294" xml:space="preserve">multiplicari poſsint, ut uſus organorum ac demonſtrationu nobis facile innoteſcat.
                <lb/>
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              <s xml:id="echoid-s21295" xml:space="preserve">Ac primum ad datum ſolidum ſub data proportione aliud conſtituere demonstrabo. </s>
              <s xml:id="echoid-s21296" xml:space="preserve">Esto igitur propoſitum
                <lb/>
              ſolidum a, uolo aliud ſolidum constituere, quod cum præ dicto eam habeat proportionem, quam habet li-
                <lb/>
              nea b, ad lineam c. </s>
              <s xml:id="echoid-s21297" xml:space="preserve">ſumatur igitur linea æqualis alicui lateri ex bis, quæ babet ſolidum c, & </s>
              <s xml:id="echoid-s21298" xml:space="preserve">eſto illa
                <lb/>
                <figure xlink:label="fig-514.01.311-01" xlink:href="fig-514.01.311-01a" number="112">
                  <description xml:id="echoid-description62" xml:space="preserve">Demonſtratio Eratoſtbenis.</description>
                  <variables xml:id="echoid-variables70" xml:space="preserve">a g t c
                    <lb/>
                  b f b d</variables>
                </figure>
                <figure xlink:label="fig-514.01.311-02" xlink:href="fig-514.01.311-02a" number="113">
                  <description xml:id="echoid-description63" xml:space="preserve">Instrumentum Eratoſthenis.</description>
                  <variables xml:id="echoid-variables71" xml:space="preserve">m a x g n b c n i o l v q
                    <lb/>
                  p b e f k d</variables>
                </figure>
                <figure xlink:label="fig-514.01.311-03" xlink:href="fig-514.01.311-03a" number="114">
                  <description xml:id="echoid-description64" xml:space="preserve">Vſ{us} demonſtratio
                    <lb/>
                  Eratoſtbenis cum
                    <lb/>
                  inſtrumento.</description>
                  <variables xml:id="echoid-variables72" xml:space="preserve">a h n ek l i o d b 8 m c 4</variables>
                </figure>
                <figure xlink:label="fig-514.01.311-04" xlink:href="fig-514.01.311-04a" number="115">
                  <description xml:id="echoid-description65" xml:space="preserve">Inſtrumentum Platonis.</description>
                  <variables xml:id="echoid-variables73" xml:space="preserve">f i n o m</variables>
                </figure>
                <figure xlink:label="fig-514.01.311-05" xlink:href="fig-514.01.311-05a" number="116">
                  <description xml:id="echoid-description66" xml:space="preserve">cubus.</description>
                  <variables xml:id="echoid-variables74" xml:space="preserve">8 8 64 8 8 8 8 512 8
                    <lb/>
                  s e</variables>
                </figure>
                <figure xlink:label="fig-514.01.311-06" xlink:href="fig-514.01.311-06a" number="117">
                  <description xml:id="echoid-description67" xml:space="preserve">Demonstratio Archita.</description>
                  <variables xml:id="echoid-variables75" xml:space="preserve">p l k b o i m b e d af</variables>
                </figure>
                <figure xlink:label="fig-514.01.311-07" xlink:href="fig-514.01.311-07a" number="118">
                  <description xml:id="echoid-description68" xml:space="preserve">Demonctration
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                  Platonis.</description>
                  <variables xml:id="echoid-variables76" xml:space="preserve">d e b c g</variables>
                </figure>
                <note position="left" xlink:label="note-514.01.311-01" xlink:href="note-514.01.311-01a" xml:space="preserve">10</note>
                <note position="left" xlink:label="note-514.01.311-02" xlink:href="note-514.01.311-02a" xml:space="preserve">20</note>
                <note position="left" xlink:label="note-514.01.311-03" xlink:href="note-514.01.311-03a" xml:space="preserve">30</note>
                <note position="left" xlink:label="note-514.01.311-04" xlink:href="note-514.01.311-04a" xml:space="preserve">40</note>
                <note position="left" xlink:label="note-514.01.311-05" xlink:href="note-514.01.311-05a" xml:space="preserve">50</note>
              d, & </s>
              <s xml:id="echoid-s21299" xml:space="preserve">quam rationem habet b, ad c, eandem habeat d, ad e, ſiue dupla, ſiue triplex, ſiue alio modo
                <lb/>
              ad ipſam comparetur, & </s>
              <s xml:id="echoid-s21300" xml:space="preserve">iuxta præ cedentium aliquam dem onſtrationum inter rectas d, & </s>
              <s xml:id="echoid-s21301" xml:space="preserve">e, duæ inuenian-
                <lb/>
              tur mediæ comparabiles, & </s>
              <s xml:id="echoid-s21302" xml:space="preserve">ſint illæ ſ, & </s>
              <s xml:id="echoid-s21303" xml:space="preserve">g, ita ut d, & </s>
              <s xml:id="echoid-s21304" xml:space="preserve">f, g, & </s>
              <s xml:id="echoid-s21305" xml:space="preserve">e, ſint continua proportione inuicem
                <lb/>
              reſpondentes. </s>
              <s xml:id="echoid-s21306" xml:space="preserve">inde ex aliqua recta æ quali ipſi f, per uigeſimam ſeptimam libri undecimi ſiat ſolidum, quod
                <lb/>
              ſit b, & </s>
              <s xml:id="echoid-s21307" xml:space="preserve">ſimiliter poſitum ſolido a, quoniam per trigeſimam tertiam eiuſdem,ſi quatuor lineæ erunt pro-
                <lb/>
                <note position="left" xlink:label="note-514.01.311-06" xlink:href="note-514.01.311-06a" xml:space="preserve">60</note>
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