Vitruvius, De architectura libri decem, 1567

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          <div xml:id="echoid-div312" type="section" level="2" n="63">
            <p style="it">
              <s xml:id="echoid-s9242" xml:space="preserve">
                <pb o="104" file="514.01.136" n="136" rhead="LIBER"/>
              ru
                <unsure/>
              m distributione fiet; </s>
              <s xml:id="echoid-s9243" xml:space="preserve">ſi ſpatia inter columnas duas craßitudines, & </s>
              <s xml:id="echoid-s9244" xml:space="preserve">quartam unius craßitudinis columnæ
                <lb/>
              continebunt. </s>
              <s xml:id="echoid-s9245" xml:space="preserve">ita enim laxamenta columnarum, ita impedimenta ambulationum, ita obſcurationem ualuarũ,
                <lb/>
              & </s>
              <s xml:id="echoid-s9246" xml:space="preserve">ſignorum euitabimus, ita demum oculis ſatisfactum erit. </s>
              <s xml:id="echoid-s9247" xml:space="preserve">Pycnoſtylos, & </s>
              <s xml:id="echoid-s9248" xml:space="preserve">ſiſtylos ambulationes, aditus, & </s>
              <s xml:id="echoid-s9249" xml:space="preserve">
                <lb/>
              aſpectum impediebant. </s>
              <s xml:id="echoid-s9250" xml:space="preserve">Diaſtylos, & </s>
              <s xml:id="echoid-s9251" xml:space="preserve">areostylos periculum afferebant; </s>
              <s xml:id="echoid-s9252" xml:space="preserve">Ergo euſtylos inter extrema tanquã
                <lb/>
              medium, in quo uirtus est poſita, cõmoditatẽ, & </s>
              <s xml:id="echoid-s9253" xml:space="preserve">uenuſtatem afferet. </s>
              <s xml:id="echoid-s9254" xml:space="preserve">Siigitur unum & </s>
              <s xml:id="echoid-s9255" xml:space="preserve">dimidium, uel duo pauca
                <lb/>
              ſunt, ſi tria plura, quàm par est, relinquitur duo, & </s>
              <s xml:id="echoid-s9256" xml:space="preserve">quartã partẽ conuenire. </s>
              <s xml:id="echoid-s9257" xml:space="preserve">Sed cur non ita duo, & </s>
              <s xml:id="echoid-s9258" xml:space="preserve">dimidium,
                <lb/>
              ſicut duo, & </s>
              <s xml:id="echoid-s9259" xml:space="preserve">quarta pars ſatisfacient & </s>
              <s xml:id="echoid-s9260" xml:space="preserve">opportunitati, & </s>
              <s xml:id="echoid-s9261" xml:space="preserve">pulchritudini? </s>
              <s xml:id="echoid-s9262" xml:space="preserve">Reſpondeo, duo, & </s>
              <s xml:id="echoid-s9263" xml:space="preserve">quartam par-
                <lb/>
              tem inſtum commenſum facere, cum medianum ſpatium laxius , & </s>
              <s xml:id="echoid-s9264" xml:space="preserve">remiſſius faciendum erit, quàm extrema.
                <lb/>
              </s>
              <s xml:id="echoid-s9265" xml:space="preserve">Sed illud magis animaduertendum, quod ſi a proportione ſubſeſquitertia ſubtrahere uelimus proportionem,
                <lb/>
                <note position="left" xlink:label="note-514.01.136-01" xlink:href="note-514.01.136-01a" xml:space="preserve">10</note>
              ſubſeſquiquintam, reddetur ſubſeſquioctaua. </s>
              <s xml:id="echoid-s9266" xml:space="preserve">Ecce exemplum. </s>
              <s xml:id="echoid-s9267" xml:space="preserve">Vnum cum dimidio ſunt ſex quartæ, duo ſunt
                <lb/>
              octo quartæ, duo cum dimidio decem quartæ, tria duodecim quartæ. </s>
              <s xml:id="echoid-s9268" xml:space="preserve">Sex ad octo eſt in proportione ſubſeſqui-
                <lb/>
              tertia. </s>
              <s xml:id="echoid-s9269" xml:space="preserve">decem ad duodecim in proportione ſubſeſquiquinta . </s>
              <s xml:id="echoid-s9270" xml:space="preserve">duc igitur duodecim per ſex, reddes ſeptuaginta
                <lb/>
              duo. </s>
              <s xml:id="echoid-s9271" xml:space="preserve">decem per octo, reddes octuaginta. </s>
              <s xml:id="echoid-s9272" xml:space="preserve">inter ſeptuaginta duo, & </s>
              <s xml:id="echoid-s9273" xml:space="preserve">octuaginta cadit ratio ſubſeſquioctaua.
                <lb/>
              </s>
              <s xml:id="echoid-s9274" xml:space="preserve">Nouem igitur magis reſpondet & </s>
              <s xml:id="echoid-s9275" xml:space="preserve">ſenario, & </s>
              <s xml:id="echoid-s9276" xml:space="preserve">duodenario, quàm decem. </s>
              <s xml:id="echoid-s9277" xml:space="preserve">nouem quartæ igitur erunt inter colum-
                <lb/>
              nia elegantis formæ; </s>
              <s xml:id="echoid-s9278" xml:space="preserve">cuius ratio redditur a Vitr. </s>
              <s xml:id="echoid-s9279" xml:space="preserve">hoc modo.</s>
              <s xml:id="echoid-s9280" xml:space="preserve"/>
            </p>
            <p>
              <s xml:id="echoid-s9281" xml:space="preserve">
                <emph style="sc">Frons</emph>
              loci, quæ in æde conſtituta fuerit, ſi tetraſtylos facienda fuerit, diuidatur in partes unde-
                <lb/>
              cim ſemis, præter crepidines, & </s>
              <s xml:id="echoid-s9282" xml:space="preserve">proiecturas ſpirarum. </s>
              <s xml:id="echoid-s9283" xml:space="preserve">Si ſex erit columnarum in partes decem, & </s>
              <s xml:id="echoid-s9284" xml:space="preserve">octo;
                <lb/>
              </s>
              <s xml:id="echoid-s9285" xml:space="preserve">ſi octa ſtylos conſtituetur diuidatur in 24. </s>
              <s xml:id="echoid-s9286" xml:space="preserve">& </s>
              <s xml:id="echoid-s9287" xml:space="preserve">ſemiſſem. </s>
              <s xml:id="echoid-s9288" xml:space="preserve">Item ex his partibus ſiue tetraſtyli, ſiue exa-
                <lb/>
              ſtyli, ſiue octaſtyli una pars ſumatur, eaq; </s>
              <s xml:id="echoid-s9289" xml:space="preserve">erit modulus, cuius moduli unius erit craſsitudo columnarũ. </s>
              <s xml:id="echoid-s9290" xml:space="preserve">
                <lb/>
                <note position="left" xlink:label="note-514.01.136-02" xlink:href="note-514.01.136-02a" xml:space="preserve">20</note>
              Intercolumnia ſingula præter mediana modulorum duorum, & </s>
              <s xml:id="echoid-s9291" xml:space="preserve">moduli quartæ partis, mediana in
                <lb/>
              fronte, & </s>
              <s xml:id="echoid-s9292" xml:space="preserve">poſtico ſingula, ternum modulorum. </s>
              <s xml:id="echoid-s9293" xml:space="preserve">Ipſarum columnarum altitudo erit modulorum octo,
                <lb/>
              & </s>
              <s xml:id="echoid-s9294" xml:space="preserve">dimidiæ moduli partes. </s>
              <s xml:id="echoid-s9295" xml:space="preserve">Ita ex ea diuiſione intercolumnia, altitudinesq́; </s>
              <s xml:id="echoid-s9296" xml:space="preserve">columnarum habebunt
                <lb/>
              iuſtam rationem.</s>
              <s xml:id="echoid-s9297" xml:space="preserve"/>
            </p>
            <p style="it">
              <s xml:id="echoid-s9298" xml:space="preserve">Eustyli ratio redditur hoc loco a Vitr. </s>
              <s xml:id="echoid-s9299" xml:space="preserve">& </s>
              <s xml:id="echoid-s9300" xml:space="preserve">ea ratione diſtribuit pr ædictos figurarum aſpectus, nam dum exa-
                <lb/>
              ſtylum dicit, peripteron intelligit, & </s>
              <s xml:id="echoid-s9301" xml:space="preserve">pro octastylo dipteron ſeu pſeudodipterum , & </s>
              <s xml:id="echoid-s9302" xml:space="preserve">pro tetraſtylo proſtylon
                <lb/>
              forte, & </s>
              <s xml:id="echoid-s9303" xml:space="preserve">amphiproſtylon. </s>
              <s xml:id="echoid-s9304" xml:space="preserve">dixi forte, ne uidear ignorare hæc duo genera additione ad ædes in antis eſſe factas. </s>
              <s xml:id="echoid-s9305" xml:space="preserve">ſed
                <lb/>
              quis prohibet quin & </s>
              <s xml:id="echoid-s9306" xml:space="preserve">de illis intelligamus cum tetraſtylæ ſint. </s>
              <s xml:id="echoid-s9307" xml:space="preserve">Quod uero pro octaſtylo dipteron, & </s>
              <s xml:id="echoid-s9308" xml:space="preserve">pſeudodi-
                <lb/>
              pteron intelligat, patebit ex his, quæ paulò inferius dicturus est. </s>
              <s xml:id="echoid-s9309" xml:space="preserve">vnde etiam fit ut etiam exastylon pro dipte-
                <lb/>
              ro poſuerit. </s>
              <s xml:id="echoid-s9310" xml:space="preserve">quod & </s>
              <s xml:id="echoid-s9311" xml:space="preserve">ratio poſtulat, nullibi enim eos figurarum aſpectus diſtribuit. </s>
              <s xml:id="echoid-s9312" xml:space="preserve">Volentes igitur ædes con-
                <lb/>
              ſtruere, aut eas ita faciemus, ut pro fronte quaternas columnas habeant; </s>
              <s xml:id="echoid-s9313" xml:space="preserve">aut ſenas, aut octonas, aut etiam
                <lb/>
                <note position="left" xlink:label="note-514.01.136-03" xlink:href="note-514.01.136-03a" xml:space="preserve">30</note>
              denas, quemadmodum in hypetbro figuræ genere. </s>
              <s xml:id="echoid-s9314" xml:space="preserve">Si quaternas habituræ ſunt, & </s>
              <s xml:id="echoid-s9315" xml:space="preserve">eas ſecundum commodam,
                <lb/>
              & </s>
              <s xml:id="echoid-s9316" xml:space="preserve">elegantem formam ordinare uelimus, Frons loci, quæ in æde conſtituta fuerit diuidenda eſt in partes unde-
                <lb/>
              nas, & </s>
              <s xml:id="echoid-s9317" xml:space="preserve">dimidiam; </s>
              <s xml:id="echoid-s9318" xml:space="preserve">una ex his partibus pro modulo ſumenda. </s>
              <s xml:id="echoid-s9319" xml:space="preserve">quid autem ſit modulus primo libro, & </s>
              <s xml:id="echoid-s9320" xml:space="preserve">etiam hoc
                <lb/>
              tertio dictum eſt. </s>
              <s xml:id="echoid-s9321" xml:space="preserve">menſuræ enim genus eſt notæ, qua uniuerſum opus metimur. </s>
              <s xml:id="echoid-s9322" xml:space="preserve">Vnius moduli erit columnæ craſ-
                <lb/>
              ſitudo. </s>
              <s xml:id="echoid-s9323" xml:space="preserve">Cum igitur quaternæ columnæ ſint , quatuor modulos in illis diſtribuemus . </s>
              <s xml:id="echoid-s9324" xml:space="preserve">hæ tria interualla facient
                <lb/>
              extrema duo, & </s>
              <s xml:id="echoid-s9325" xml:space="preserve">medianum unum: </s>
              <s xml:id="echoid-s9326" xml:space="preserve">in imo extremorum interuallo erit intercolumnium duorum modulorum, & </s>
              <s xml:id="echoid-s9327" xml:space="preserve">
                <lb/>
              quartæ partis, tantundem in altero extremo. </s>
              <s xml:id="echoid-s9328" xml:space="preserve">quaterni ergo moduli cum dimidio in extremis intercolumnijs
                <lb/>
              ponemus; </s>
              <s xml:id="echoid-s9329" xml:space="preserve">hi quatuor primis additi , reddent octo, & </s>
              <s xml:id="echoid-s9330" xml:space="preserve">dimidium; </s>
              <s xml:id="echoid-s9331" xml:space="preserve">mediano uero interuallo tres moduli tri-
                <lb/>
              buentur; </s>
              <s xml:id="echoid-s9332" xml:space="preserve">laxiore enim ſpatio medianum intercolumnium diſtentum ualuarum proſpectum efficiet clario-
                <lb/>
              rem. </s>
              <s xml:id="echoid-s9333" xml:space="preserve">Tres igitur moduli octonis , & </s>
              <s xml:id="echoid-s9334" xml:space="preserve">dimidio additis, constituent undecim, & </s>
              <s xml:id="echoid-s9335" xml:space="preserve">ſemis. </s>
              <s xml:id="echoid-s9336" xml:space="preserve">tot igitur partibus di-
                <lb/>
                <note position="left" xlink:label="note-514.01.136-04" xlink:href="note-514.01.136-04a" xml:space="preserve">40</note>
              stribuenda frons eſt in tetraſtylo commodo, & </s>
              <s xml:id="echoid-s9337" xml:space="preserve">eleganti; </s>
              <s xml:id="echoid-s9338" xml:space="preserve">modo crepidines, & </s>
              <s xml:id="echoid-s9339" xml:space="preserve">proiecturas extremarum co-
                <lb/>
              lumnarum in ea distributione non ponamus. </s>
              <s xml:id="echoid-s9340" xml:space="preserve">Crepidines intelligo margines baſium, & </s>
              <s xml:id="echoid-s9341" xml:space="preserve">plinthorum, atq; </s>
              <s xml:id="echoid-s9342" xml:space="preserve">adeò
                <lb/>
              proiecturas, extantesq́; </s>
              <s xml:id="echoid-s9343" xml:space="preserve">partes ultra columnæ ſcapum. </s>
              <s xml:id="echoid-s9344" xml:space="preserve">Quod ſi eadem forma hexastylon, hoc eſt peripteros cõ-
                <lb/>
              stituere uolumus, frontem in partes decem & </s>
              <s xml:id="echoid-s9345" xml:space="preserve">osto diuidemus. </s>
              <s xml:id="echoid-s9346" xml:space="preserve">In hoc genere quinque ſunt intercolumnia. </s>
              <s xml:id="echoid-s9347" xml:space="preserve">Co-
                <lb/>
              lumnæ ſex; </s>
              <s xml:id="echoid-s9348" xml:space="preserve">ſingulis columnis ſinguli moduli tribuentur; </s>
              <s xml:id="echoid-s9349" xml:space="preserve">ſenos igitur modulos in columnis diſtribuemus, ter-
                <lb/>
              nos in medio intercolumnio, ita nouem moduli reddentur, nouem autem quatuor reliquis intercolumnijs da-
                <lb/>
              bimus , cum ſingula binos modulos, & </s>
              <s xml:id="echoid-s9350" xml:space="preserve">quartam partem occupent; </s>
              <s xml:id="echoid-s9351" xml:space="preserve">ita demum decem, & </s>
              <s xml:id="echoid-s9352" xml:space="preserve">octo moduli pro fron-
                <lb/>
              te exaſtyli elegantis formæ dabuntur. </s>
              <s xml:id="echoid-s9353" xml:space="preserve">pari ratione ſi octaſtylos, ideſt ſi uel dipteros, uel pſeudodipteros con-
                <lb/>
              ſtituenda eſt, frons loci diuidetur in partes 24. </s>
              <s xml:id="echoid-s9354" xml:space="preserve">& </s>
              <s xml:id="echoid-s9355" xml:space="preserve">ſemißem. </s>
              <s xml:id="echoid-s9356" xml:space="preserve">Octo moduli octonis columnis diſtribuentur.
                <lb/>
              </s>
              <s xml:id="echoid-s9357" xml:space="preserve">terni medio intercolumnio. </s>
              <s xml:id="echoid-s9358" xml:space="preserve">ita reddentur undeni. </s>
              <s xml:id="echoid-s9359" xml:space="preserve">ſuperſunt ſex interualla, quorum ſingulis binos modulos, et
                <lb/>
                <note position="left" xlink:label="note-514.01.136-05" xlink:href="note-514.01.136-05a" xml:space="preserve">50</note>
              quartam partem tribuendo, conſumemus modulos treſdecim cum dimidio, qui undenis prioribus additi , ſum-
                <lb/>
              mam prædictarum 24. </s>
              <s xml:id="echoid-s9360" xml:space="preserve">partium cum dimidia reſtituent. </s>
              <s xml:id="echoid-s9361" xml:space="preserve">In his omnibus altitudo columnarum erit modulo-
                <lb/>
              rum octo, & </s>
              <s xml:id="echoid-s9362" xml:space="preserve">dimidio . </s>
              <s xml:id="echoid-s9363" xml:space="preserve">Quibus poſitis nemo eſt, qui non uideat hypethron, idest decaſtylon diſtribui poſſe eiuſ-
                <lb/>
              dem elegantis formæ artificio. </s>
              <s xml:id="echoid-s9364" xml:space="preserve">nam frons diuidenda eſt in partes unam, & </s>
              <s xml:id="echoid-s9365" xml:space="preserve">triginta. </s>
              <s xml:id="echoid-s9366" xml:space="preserve">quarum una erit modulus,
                <lb/>
              decem igitur moduli decem columnis diſtribuentur , medio interuallo terni. </s>
              <s xml:id="echoid-s9367" xml:space="preserve">reliquis intercolumnijs, quæ ſunt
                <lb/>
              octo, decem & </s>
              <s xml:id="echoid-s9368" xml:space="preserve">octo, qui additi tredecim primis, reddent unum & </s>
              <s xml:id="echoid-s9369" xml:space="preserve">triginta modulos . </s>
              <s xml:id="echoid-s9370" xml:space="preserve">Sed nos ad Vitruuium.</s>
              <s xml:id="echoid-s9371" xml:space="preserve"/>
            </p>
            <p>
              <s xml:id="echoid-s9372" xml:space="preserve">
                <emph style="sc">Hvivs</emph>
              exemplar Romæ nullum habemus, ſed in Aſia Teo octaſtylon Liberi patris . </s>
              <s xml:id="echoid-s9373" xml:space="preserve">Eas autem
                <lb/>
              ſymmetrias conſtituit Hermogenes, qui etiam primus octaſtylon pſeudodipterive rationem inuenit.
                <lb/>
              </s>
              <s xml:id="echoid-s9374" xml:space="preserve">Ex dipteri enim ædis ſymmetria ſuſtulit interiores ordines columnarum triginta quatuor, eaq́; </s>
              <s xml:id="echoid-s9375" xml:space="preserve">ratio-
                <lb/>
              ne ſumptus, operisq́; </s>
              <s xml:id="echoid-s9376" xml:space="preserve">compendia fecit. </s>
              <s xml:id="echoid-s9377" xml:space="preserve">Is in medio ambulationi laxamentum egregie circa cellam
                <lb/>
                <note position="left" xlink:label="note-514.01.136-06" xlink:href="note-514.01.136-06a" xml:space="preserve">60</note>
              </s>
            </p>
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