Vitruvius, De architectura libri decem, 1567

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                <pb o="280" file="514.01.312" n="312" rhead="LIBER"/>
              portione inter ſe comparatæ, ſicut ſe habet prima ad quartam, ita ſolidum quod fit a prima ſimile eſt illi, quæ
                <lb/>
              fit a ſecunda, & </s>
              <s xml:id="echoid-s21308" xml:space="preserve">ſimiliter deſcriptum. </s>
              <s xml:id="echoid-s21309" xml:space="preserve">igitur ratio ſolidi a, ad ſimile ſolidum b, est, ut d, ad c, exſubie=
                <lb/>
              ctione autem d, ad e, comparatur ut b, ad o, Propoſito igitur ſolido a, ſub data ratione ipſius b, ad c,
                <lb/>
              conſtructum eſt ſimile ſolidum b, quod facere mens fuerat. </s>
              <s xml:id="echoid-s21310" xml:space="preserve">Amplius ſi cubum ſolido quadrangulari &</s>
              <s xml:id="echoid-s21311" xml:space="preserve">-
                <lb/>
                <figure xlink:label="fig-514.01.312-01" xlink:href="fig-514.01.312-01a" number="119">
                  <description xml:id="echoid-description69" xml:space="preserve">Demostratio ter tiæ proprietatis, & aſſumptionis Nicomedis.
                    <lb/>
                  instrumentum Nicomedis.</description>
                  <variables xml:id="echoid-variables77" xml:space="preserve">f h d g b s n m k a</variables>
                </figure>
                <figure xlink:label="fig-514.01.312-02" xlink:href="fig-514.01.312-02a" number="120">
                  <description xml:id="echoid-description70" xml:space="preserve">Duplicatio cubi.</description>
                  <variables xml:id="echoid-variables78" xml:space="preserve">e a
                    <lb/>
                  b c d f g</variables>
                </figure>
                <figure xlink:label="fig-514.01.312-03" xlink:href="fig-514.01.312-03a" number="121">
                  <description xml:id="echoid-description71" xml:space="preserve">Dimonctratio
                    <lb/>
                  prrima proprie
                    <lb/>
                  tatis.</description>
                  <variables xml:id="echoid-variables79" xml:space="preserve">s n m l k</variables>
                </figure>
                <figure xlink:label="fig-514.01.312-04" xlink:href="fig-514.01.312-04a" number="122">
                  <description xml:id="echoid-description72" xml:space="preserve">Vſus inſtrume ti Nicomedis & eius demő ſtratio.</description>
                  <variables xml:id="echoid-variables80" xml:space="preserve">l e b c g f a k h i</variables>
                </figure>
                <figure xlink:label="fig-514.01.312-05" xlink:href="fig-514.01.312-05a" number="123">
                  <variables xml:id="echoid-variables81" xml:space="preserve">h</variables>
                </figure>
                <figure xlink:label="fig-514.01.312-06" xlink:href="fig-514.01.312-06a" number="124">
                  <variables xml:id="echoid-variables82" xml:space="preserve">b d c e f g</variables>
                </figure>
                <figure xlink:label="fig-514.01.312-07" xlink:href="fig-514.01.312-07a" number="125">
                  <variables xml:id="echoid-variables83" xml:space="preserve">a b c e d</variables>
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              quale conficere uelimus, hoc modo agendum eſt. </s>
              <s xml:id="echoid-s21312" xml:space="preserve">Sit propoſitum parallelipedum a b c d, cuius latitudo
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              a b, altitudo b c, longitudo c d, oportet cubum æqualem illi conſtituere. </s>
              <s xml:id="echoid-s21313" xml:space="preserve">inveniatur per ultimam ſecundi
                <lb/>
              latus quadratum plani a b c, ideſt linez recta, cuius quadratum æquum ſit plano a b c, quæ linea ſit e,
                <lb/>
              & </s>
              <s xml:id="echoid-s21314" xml:space="preserve">inxta aliquem ex ſupradictis modis inveniantur duæ mediæ comparabiles inter e, & </s>
              <s xml:id="echoid-s21315" xml:space="preserve">c d. </s>
              <s xml:id="echoid-s21316" xml:space="preserve">& </s>
              <s xml:id="echoid-s21317" xml:space="preserve">ſint ille f.</s>
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