Vitruvius, De architectura libri decem, 1567

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          <div xml:id="echoid-div329" type="section" level="2" n="64">
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              <s xml:id="echoid-s9874" xml:space="preserve">
                <pb o="113" file="514.01.145" n="145" rhead="TERTIVS."/>
              datur in partes ſeptem, inde trium partium torus, qui eſt in ſummo, reliquæ quatuor partes diuiden-
                <lb/>
              dæ ſunt æ qualiter, & </s>
              <s xml:id="echoid-s9875" xml:space="preserve">una pars fiat cum ſuis aſtragalis, & </s>
              <s xml:id="echoid-s9876" xml:space="preserve">ſupercilio ſuperior trochilus, altera pars in-
                <lb/>
              feriori trochilo relinquatur, ſed inferior major apparebit, ideo quod habebit ad extremam plinthum
                <lb/>
              proiecturam. </s>
              <s xml:id="echoid-s9877" xml:space="preserve">Aſtragali faciendæ ſunt octauæ partis trochili, proiectura erit ſpiræ pars octaua, & </s>
              <s xml:id="echoid-s9878" xml:space="preserve">ſex-
                <lb/>
              tadecima craſsitudinis columnæ.</s>
              <s xml:id="echoid-s9879" xml:space="preserve"/>
            </p>
            <figure number="33">
              <description xml:id="echoid-description20" style="it" xml:space="preserve">A. Plinthus.
                <lb/>
              B. Torus inferior.
                <lb/>
              O. quadræ.
                <lb/>
              C. Scotia.
                <lb/>
              D. torus ſuperior.
                <lb/>
              E. quadra apophygis.
                <lb/>
              F. apophygis.
                <lb/>
              tt. craſſitudo columnæ.</description>
              <variables xml:id="echoid-variables19" xml:space="preserve">f x F q E D C B I K 3 a 2 1 0 b</variables>
            </figure>
            <note position="left" xml:space="preserve">10</note>
            <note position="left" xml:space="preserve">20</note>
            <note position="left" xml:space="preserve">30</note>
            <p style="it">
              <s xml:id="echoid-s9880" xml:space="preserve">Ionica ſpira ita deformatur, ut habeat plinthum, ſcotias duas, & </s>
              <s xml:id="echoid-s9881" xml:space="preserve">torum. </s>
              <s xml:id="echoid-s9882" xml:space="preserve">Scotiæ uero, ſeu trochili duo
                <lb/>
              ſint inter torum ſuperiorem, & </s>
              <s xml:id="echoid-s9883" xml:space="preserve">plinthum, ſed inter duas ſcotias, ſint aſtragali. </s>
              <s xml:id="echoid-s9884" xml:space="preserve">Aſtragali a forma ſic dicuntur,
                <lb/>
              imitantur enim oſſa illa, quæ in iuncturis colli pedis ponuntur, latine tali uocantur. </s>
              <s xml:id="echoid-s9885" xml:space="preserve">Itali aſtragalos in baſi
                <lb/>
              tondinos appellant. </s>
              <s xml:id="echoid-s9886" xml:space="preserve">Altitudo baſis est quemadmodum atticurgis pro dimidia columnæ craſſitudine. </s>
              <s xml:id="echoid-s9887" xml:space="preserve">latitudo
                <lb/>
              eſt quaqua uerſus unius diametri, & </s>
              <s xml:id="echoid-s9888" xml:space="preserve">quartæ partis, & </s>
              <s xml:id="echoid-s9889" xml:space="preserve">octauæ craßitudinis, columnæ. </s>
              <s xml:id="echoid-s9890" xml:space="preserve">Plinthus pro tertia
                <lb/>
              parte altitudinis ſpiræ, reliquum in ſeptem partes diuiditur, quarum tres ſuperioritoro conceduntur, reliquæ
                <lb/>
              quatuor æquas in partes ſecantur, ex quibus una ſcotiæ, ſeu trochilo ſuperiori conceditur, & </s>
              <s xml:id="echoid-s9891" xml:space="preserve">ſuis astragalis,
                <lb/>
              & </s>
              <s xml:id="echoid-s9892" xml:space="preserve">ſuo ſupercilio, quod eſt tanquam quadra ſuperior. </s>
              <s xml:id="echoid-s9893" xml:space="preserve">altera pars datur inferiori trochilo. </s>
              <s xml:id="echoid-s9894" xml:space="preserve">Aſtragali vero ex
                <lb/>
              octaua trochili parte conſtituuntur. </s>
              <s xml:id="echoid-s9895" xml:space="preserve">Sed uidebitur inferior trochilus maior, quia ad extremam plinthum flecti-
                <lb/>
              tur, & </s>
              <s xml:id="echoid-s9896" xml:space="preserve">flexus ille amplior, maiorem ſpeciem præſefert. </s>
              <s xml:id="echoid-s9897" xml:space="preserve">Nam cum duo trochili ſint animaduertendum est,
                <lb/>
                <note position="left" xlink:label="note-514.01.145-04" xlink:href="note-514.01.145-04a" xml:space="preserve">40</note>
              ut inferioris cauum ſuperioris, ſuperiori regulæ reſpondeat. </s>
              <s xml:id="echoid-s9898" xml:space="preserve">trochilus ſuperior clauditur duabus regulis, qua-
                <lb/>
              rum ſuperior appellatur ſupercilium, inferior quadra: </s>
              <s xml:id="echoid-s9899" xml:space="preserve">ſupercilium unius est partis, quadra dimidiæ tantum.
                <lb/>
              </s>
              <s xml:id="echoid-s9900" xml:space="preserve">circumflectere autem trochilos oportet, quemadmodum in ſuperiori, hoc eſt Attica ſpira declaratum eſt. </s>
              <s xml:id="echoid-s9901" xml:space="preserve">illud
                <lb/>
              uero pauci animaduertunt, quod Vitr. </s>
              <s xml:id="echoid-s9902" xml:space="preserve">dixit. </s>
              <s xml:id="echoid-s9903" xml:space="preserve">Proiectura erit ſpiræ pars octaua, & </s>
              <s xml:id="echoid-s9904" xml:space="preserve">ſextadecima: </s>
              <s xml:id="echoid-s9905" xml:space="preserve">nam loqui-
                <lb/>
              tur hic de proiectura partis ſuperioris ſpiræ. </s>
              <s xml:id="echoid-s9906" xml:space="preserve">Aſſumitur enim columnæ craſſitudo ex qua integra primum
                <lb/>
              octaua pars ſumitur, deinde ex eadem integra ſumitur ſextadecima pars, deinde utræq́; </s>
              <s xml:id="echoid-s9907" xml:space="preserve">partes coniunguntur,
                <lb/>
              & </s>
              <s xml:id="echoid-s9908" xml:space="preserve">dimidium earum utrinque ponitur pro proiectura ſuperioris partis, quod æque eſt, ac ſidiceret partiendam
                <lb/>
              eſſe columnæ diametrum in partes ſexdecim, ex quibus duæ primum, deinde una ſumenda eſt, & </s>
              <s xml:id="echoid-s9909" xml:space="preserve">eas ſimul com
                <lb/>
              ponere, efficient tres ex ſexdecim partibus, quas partire, & </s>
              <s xml:id="echoid-s9910" xml:space="preserve">utrinque appone pro proiectura. </s>
              <s xml:id="echoid-s9911" xml:space="preserve">Altuudo apo-
                <lb/>
              phygis annuli eſt pro tertia parte tori, apopbygis eodem modo formatur, quo in Atticis dictum eſt. </s>
              <s xml:id="echoid-s9912" xml:space="preserve">totius au-
                <lb/>
                <note position="left" xlink:label="note-514.01.145-05" xlink:href="note-514.01.145-05a" xml:space="preserve">50</note>
              tem ſpiræ deſcriptio infra hoc loco ponitur, atque ita Ionica baſis deformatur.</s>
              <s xml:id="echoid-s9913" xml:space="preserve"/>
            </p>
            <p>
              <s xml:id="echoid-s9914" xml:space="preserve">
                <emph style="sc">Spiris</emph>
              perfectis, & </s>
              <s xml:id="echoid-s9915" xml:space="preserve">collocatis, columnæ ſunt medianæ in pronao, & </s>
              <s xml:id="echoid-s9916" xml:space="preserve">poſtico ad perpendiculum
                <lb/>
              medij centri collocandæ. </s>
              <s xml:id="echoid-s9917" xml:space="preserve">Angulares autem, quæq́; </s>
              <s xml:id="echoid-s9918" xml:space="preserve">e regione earum futuræ ſunt in lateribus æ dis dex-
                <lb/>
              tra, ac ſiniſtra, uti partes interiores, quæ ad parietes cellæ ſpectant ad perpendiculum latus habeant
                <lb/>
              collocatum, exteriores autem partes, (uti dictum eſt) de earum contractura. </s>
              <s xml:id="echoid-s9919" xml:space="preserve">Sic enim erunt figuræ
                <lb/>
              compoſitionis ædium contracturæ iuſta ratione exactæ.</s>
              <s xml:id="echoid-s9920" xml:space="preserve"/>
            </p>
            <p style="it">
              <s xml:id="echoid-s9921" xml:space="preserve">Iam ad collocationem columnarum deuentum est, in qua obſeruabimus medianas columnas ad centrum
                <lb/>
              medium collocandas, ita ut ad perpendiculum circum circa reſpondeant. </s>
              <s xml:id="echoid-s9922" xml:space="preserve">Angulares uero non item, ſed extra
                <lb/>
              contractæ ſint, quæ uero partem interiorem reſpiciunt, rectis lineis ad perpendiculum poſitæ ſint, quod æque
                <lb/>
              est, ac ſi diceret non eſſe columnas angulares, atque etiam laterales contrahendas parte qua ad cellam ſpe-
                <lb/>
                <note position="left" xlink:label="note-514.01.145-06" xlink:href="note-514.01.145-06a" xml:space="preserve">60</note>
              </s>
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