Vitruvius, De architectura libri decem, 1567

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          <div xml:id="echoid-div780" type="section" level="2" n="143">
            <p style="it">
              <s xml:id="echoid-s24559" xml:space="preserve">
                <pb o="322" file="514.01.354" n="354" rhead="LIBER"/>
              mate ſume ſpatium a x. </s>
              <s xml:id="echoid-s24560" xml:space="preserve">& </s>
              <s xml:id="echoid-s24561" xml:space="preserve">in æquinoctiali radio, quod in duodenas æquas partes diuidito, idem facito ab
                <lb/>
              a. </s>
              <s xml:id="echoid-s24562" xml:space="preserve">ad x. </s>
              <s xml:id="echoid-s24563" xml:space="preserve">eas partes in æquinoctiales lineas columellæ transferas. </s>
              <s xml:id="echoid-s24564" xml:space="preserve">Sume iterum ſpatium ex analemmate r
                <lb/>
              k. </s>
              <s xml:id="echoid-s24565" xml:space="preserve">uel l g. </s>
              <s xml:id="echoid-s24566" xml:space="preserve">hoc ita diuides, ut pars, quæ eſt ab u. </s>
              <s xml:id="echoid-s24567" xml:space="preserve">ad k. </s>
              <s xml:id="echoid-s24568" xml:space="preserve">ſupra horizontem e a i. </s>
              <s xml:id="echoid-s24569" xml:space="preserve">in duodecim ſeces æ.
                <lb/>
              </s>
              <s xml:id="echoid-s24570" xml:space="preserve">quas partes, & </s>
              <s xml:id="echoid-s24571" xml:space="preserve">partem ſub horizonte ab a. </s>
              <s xml:id="echoid-s24572" xml:space="preserve">ad r. </s>
              <s xml:id="echoid-s24573" xml:space="preserve">ſimiliter diuidas in duodenas portiones. </s>
              <s xml:id="echoid-s24574" xml:space="preserve">has omnes tranſ
                <lb/>
              feras in columella ad lineam ſolſtitiij, ideſt Cancri, idem facito de linea g l. </s>
              <s xml:id="echoid-s24575" xml:space="preserve">partire ab s. </s>
              <s xml:id="echoid-s24576" xml:space="preserve">ad l. </s>
              <s xml:id="echoid-s24577" xml:space="preserve">in partes
                <lb/>
              duodecim, & </s>
              <s xml:id="echoid-s24578" xml:space="preserve">ad g. </s>
              <s xml:id="echoid-s24579" xml:space="preserve">ſimiliter, & </s>
              <s xml:id="echoid-s24580" xml:space="preserve">eas ſectiones ad lineam brumæ, hoc eſt Capricorni transferto ordine
                <lb/>
              quo in analemmate ponuntur. </s>
              <s xml:id="echoid-s24581" xml:space="preserve">quod ſi ex analemmate aliorum ſignorum diametros ſumpſeris, & </s>
              <s xml:id="echoid-s24582" xml:space="preserve">eas ea ra-
                <lb/>
              tione diuiſeris, ut partes ſupra, & </s>
              <s xml:id="echoid-s24583" xml:space="preserve">infra horizontem diuidas in duodecim portiones, & </s>
              <s xml:id="echoid-s24584" xml:space="preserve">eas in columella ad
                <lb/>
              ſuas lineas trans ſeras, optime tranſuerſas horarum lineas a punctis mutuis, & </s>
              <s xml:id="echoid-s24585" xml:space="preserve">reſpondentibus duces. </s>
              <s xml:id="echoid-s24586" xml:space="preserve">nam li-
                <lb/>
              nea, quæ a puncto a. </s>
              <s xml:id="echoid-s24587" xml:space="preserve">per punctum V. </s>
              <s xml:id="echoid-s24588" xml:space="preserve">ad ſignum. </s>
              <s xml:id="echoid-s24589" xml:space="preserve">s. </s>
              <s xml:id="echoid-s24590" xml:space="preserve">& </s>
              <s xml:id="echoid-s24591" xml:space="preserve">rurſus ab s. </s>
              <s xml:id="echoid-s24592" xml:space="preserve">ad a. </s>
              <s xml:id="echoid-s24593" xml:space="preserve">in columella peruenerit, linea
                <lb/>
                <note position="left" xlink:label="note-514.01.354-01" xlink:href="note-514.01.354-01a" xml:space="preserve">10</note>
              erit quæ horas diurnas a nocturnis ſeparabit. </s>
              <s xml:id="echoid-s24594" xml:space="preserve">Signato igitur ſuis numeris horas in præſcriptis ſectionibus, & </s>
              <s xml:id="echoid-s24595" xml:space="preserve">
                <lb/>
              ſub lineis menſtruis ſignorum ſingulorum caracteres appone: </s>
              <s xml:id="echoid-s24596" xml:space="preserve">& </s>
              <s xml:id="echoid-s24597" xml:space="preserve">columellam ita deſignatam erige axiculo in
                <lb/>
              imo eius impoſito, ut in foramen ſubiectum ingredi, & </s>
              <s xml:id="echoid-s24598" xml:space="preserve">conuolui poſſit. </s>
              <s xml:id="echoid-s24599" xml:space="preserve">Pedem columellæ orbiculo circunda-
                <lb/>
              bis æreo, uet rotam appones denticulis 360. </s>
              <s xml:id="echoid-s24600" xml:space="preserve">diſſectam ita ut ſub erecta collumella, rota alia in planum po-
                <lb/>
              ſita dentata, & </s>
              <s xml:id="echoid-s24601" xml:space="preserve">uerſata, eius orbiculi dentes impellat, ita ut ſingulis diebus dentes ſingulos moueat. </s>
              <s xml:id="echoid-s24602" xml:space="preserve">Ea uero
                <lb/>
              quæ in plano fuerit, ab alia impellatur, quæ in plano poſita ſit, & </s>
              <s xml:id="echoid-s24603" xml:space="preserve">unicum habeat dẽticulum in capite ſui axis,
                <lb/>
              hæc quoque ab alia impellitur rota in cultro poſita, & </s>
              <s xml:id="echoid-s24604" xml:space="preserve">in fronte dentata paribus cum ſuperiori denticulis,
                <lb/>
              ita ut quæque ſemel in die totam faciat circuitionem, ſecundum quod eorum axis mouebitur. </s>
              <s xml:id="echoid-s24605" xml:space="preserve">circum axem
                <lb/>
              funis inuoluitur, qui habebit ex uno capite phellum, uel ſcaphium, ſeu tympanum inuerſum, & </s>
              <s xml:id="echoid-s24606" xml:space="preserve">ex alia æqui-
                <lb/>
              pondium. </s>
              <s xml:id="echoid-s24607" xml:space="preserve">Phellos aut in arcula, aut uaſe collocabitur, in quod ex caſtello influet aqua, quæſcaphum ſuble-
                <lb/>
                <note position="left" xlink:label="note-514.01.354-02" xlink:href="note-514.01.354-02a" xml:space="preserve">20</note>
              uabit, & </s>
              <s xml:id="echoid-s24608" xml:space="preserve">æquipondium axem funiculo circumuoluet, axis rotam in cultro poſitam mouebit, ea in plano poſi-
                <lb/>
              tam mouebit, quæ denticulo in capite eius axis collocato, motionem, & </s>
              <s xml:id="echoid-s24609" xml:space="preserve">uerſationem eius faciet, quæ in plano
                <lb/>
              erat denticulis formata, quæ orbiculum, uel rotam columellæ impellendo quotidie partem unam ex 360. </s>
              <s xml:id="echoid-s24610" xml:space="preserve">cõ-
                <lb/>
              tinget, ita ut in anno perfectam circinationem columella perficiat. </s>
              <s xml:id="echoid-s24611" xml:space="preserve">Sed ut horæ indicentur, ita eſt aqua tempe-
                <lb/>
              randa. </s>
              <s xml:id="echoid-s24612" xml:space="preserve">Conos, pyramides, uel metas duas æreas ex torno facies. </s>
              <s xml:id="echoid-s24613" xml:space="preserve">altera ſit caua, altera ſolida, & </s>
              <s xml:id="echoid-s24614" xml:space="preserve">ita perfecta,
                <lb/>
              ut in cauam inire, conuenireq́; </s>
              <s xml:id="echoid-s24615" xml:space="preserve">poßit. </s>
              <s xml:id="echoid-s24616" xml:space="preserve">cauæ conus ſit perforatus tenui foramine, in quo perforata gemma, uel
                <lb/>
              æurum imponatur, ut ex eo aqua effluat, ſolidæ regula in baſimedia infigatur, uel coagmentetur, regula me-
                <lb/>
              dia findatur, ut cunei per eius apertiones immitti poßint maiores, uel minores, ut uſus postulabit. </s>
              <s xml:id="echoid-s24617" xml:space="preserve">regula itẽ-
                <lb/>
              directa maneat inter duas tranſuerſas regulas, & </s>
              <s xml:id="echoid-s24618" xml:space="preserve">caua meta etiam loculamento imponatur, ut ſustineri poſ-
                <lb/>
              ſit, & </s>
              <s xml:id="echoid-s24619" xml:space="preserve">in eam directe ſolida intrare queat. </s>
              <s xml:id="echoid-s24620" xml:space="preserve">Metæ ita collo catæ recipiant aquama quodam uaſe, quod Vitru.
                <lb/>
              </s>
              <s xml:id="echoid-s24621" xml:space="preserve">
                <note position="left" xlink:label="note-514.01.354-03" xlink:href="note-514.01.354-03a" xml:space="preserve">30</note>
              Castellum uocat, tunc adiectione cuneorum, uel unius cunei interiori fixione, extolletur ſolida meta, & </s>
              <s xml:id="echoid-s24622" xml:space="preserve">aqua
                <lb/>
              maiori impetu in cauam metam influet, & </s>
              <s xml:id="echoid-s24623" xml:space="preserve">maior copia ex tenui foramine effluet, in arcam ſubiectam in qua
                <lb/>
              phellos erat poſitum. </s>
              <s xml:id="echoid-s24624" xml:space="preserve">quod ſi cuneos detraxeris, uel eundem retraxeris, ſolida meta cauam implebit, ncc per-
                <lb/>
              mittet aquæ copiam ingredi, ita fiet ut minori impetu expulſa aqua, minori etiam copia eforamine exeat, in
                <lb/>
              arcam ſubiectam, unde phellos motionis celeritatem mutabit. </s>
              <s xml:id="echoid-s24625" xml:space="preserve">cognoſcendum uero est, quanta uis aquæ ex cu-
                <lb/>
              neorum detractione, uel adiectione in cauam metam influere poſſit, quod experimento, uel alia ratione tenta-
                <lb/>
              bis. </s>
              <s xml:id="echoid-s24626" xml:space="preserve">aqua igitur in arcam influens ſcaphum ſubleuabit, cui regula infigetur. </s>
              <s xml:id="echoid-s24627" xml:space="preserve">Regulæ ſigillum imponetur uir-
                <lb/>
              gulam horarum indicem tenens. </s>
              <s xml:id="echoid-s24628" xml:space="preserve">quod aſcenſione, & </s>
              <s xml:id="echoid-s24629" xml:space="preserve">deſcenſione horas in columella deſcriptas oſtendet, dum
                <lb/>
              columella quotidie aliam, atque aliam ſigni lineam uerſando ad ſigillum uertet. </s>
              <s xml:id="echoid-s24630" xml:space="preserve">eo autem modo quo imple-
                <lb/>
              tur arca, exinanitur per metas in fundo poſitas, & </s>
              <s xml:id="echoid-s24631" xml:space="preserve">cuneis temperatas, utin diagrammate uideri potest.</s>
              <s xml:id="echoid-s24632" xml:space="preserve"/>
            </p>
            <note position="left" xml:space="preserve">40</note>
            <p>
              <s xml:id="echoid-s24633" xml:space="preserve">Fiunt etiam alio genere horologia hyberna, quæ anaporica dicuntur, perſiciunturq; </s>
              <s xml:id="echoid-s24634" xml:space="preserve">rationibus
                <lb/>
              his. </s>
              <s xml:id="echoid-s24635" xml:space="preserve">Horæ diſponuntur ex uirgulis æneis ex analemmatos deſcriptione ab centro diſpoſitæ in fronte.
                <lb/>
              </s>
              <s xml:id="echoid-s24636" xml:space="preserve">In ea circuli ſunt circundati menſtrua ſpatia finientes: </s>
              <s xml:id="echoid-s24637" xml:space="preserve">poſt has uirgulas tym panum collocetur, in quo
                <lb/>
              deſcriptus, & </s>
              <s xml:id="echoid-s24638" xml:space="preserve">pictus ſit mundus ſigniferq́; </s>
              <s xml:id="echoid-s24639" xml:space="preserve">circulus, deſcriptioq́; </s>
              <s xml:id="echoid-s24640" xml:space="preserve">ex duodecim cœleſtium ſignorum
                <lb/>
              fit figurata, cuius e. </s>
              <s xml:id="echoid-s24641" xml:space="preserve">in centro deformatur cuiuſlibet ſigni ſpatium unum maius, alterum minus.</s>
              <s xml:id="echoid-s24642" xml:space="preserve"/>
            </p>
            <p style="it">
              <s xml:id="echoid-s24643" xml:space="preserve">Artificioſum maxime horologij genus deſcribitur, uel innuitur potius a Vitruuio. </s>
              <s xml:id="echoid-s24644" xml:space="preserve">duas habet partes tra-
                <lb/>
              ctatio hæc, altera pertinet ad horologij ſubiectionem, altera ad aquæ temperationem. </s>
              <s xml:id="echoid-s24645" xml:space="preserve">Horologij ſubiectio duas
                <lb/>
              partes habet, altera est horarum deſcriptio, altera eſt cœli, ſyderumq́; </s>
              <s xml:id="echoid-s24646" xml:space="preserve">deſignatio. </s>
              <s xml:id="echoid-s24647" xml:space="preserve">Horarum deſcriptio ſumi-
                <lb/>
              tur ab analemmate, ſed qua ratione non docet Vitr. </s>
              <s xml:id="echoid-s24648" xml:space="preserve">Non minus ab eodem deſideratur cœli, ſyderumq́; </s>
              <s xml:id="echoid-s24649" xml:space="preserve">deſi-
                <lb/>
              gnatio. </s>
              <s xml:id="echoid-s24650" xml:space="preserve">quare hæc utraque ostendenda eſſe arbitror. </s>
              <s xml:id="echoid-s24651" xml:space="preserve">Analemma igitur a ſphæra ſumitur in planum proiecta.
                <lb/>
              </s>
              <s xml:id="echoid-s24652" xml:space="preserve">
                <note position="left" xlink:label="note-514.01.354-05" xlink:href="note-514.01.354-05a" xml:space="preserve">50</note>
              proijcere ſphæram in plano nihil aliud est, quàm omnes eius circulos, omnia ſigna, in plano deſcribere, ita ut
                <lb/>
              eandem uim habeant in plano, quam in ſphæra tenent; </s>
              <s xml:id="echoid-s24653" xml:space="preserve">id autem fit opticis rationibus, eo modo, quo tabellæ
                <lb/>
              astrolabij componuntur. </s>
              <s xml:id="echoid-s24654" xml:space="preserve">Deſcribatur in plano circulus per orbis cardines permeans a b c d. </s>
              <s xml:id="echoid-s24655" xml:space="preserve">ponatur
                <lb/>
              diametri æquidiſtantium circulorum quemadmodum in analemmate f l. </s>
              <s xml:id="echoid-s24656" xml:space="preserve">brumæ. </s>
              <s xml:id="echoid-s24657" xml:space="preserve">b d. </s>
              <s xml:id="echoid-s24658" xml:space="preserve">æquatoris. </s>
              <s xml:id="echoid-s24659" xml:space="preserve">i m.
                <lb/>
              </s>
              <s xml:id="echoid-s24660" xml:space="preserve">ſolstitij. </s>
              <s xml:id="echoid-s24661" xml:space="preserve">a, ſit cardo in quo uiſus noſter ponitur. </s>
              <s xml:id="echoid-s24662" xml:space="preserve">c, vero oppoſitus cardo. </s>
              <s xml:id="echoid-s24663" xml:space="preserve">ducantur radij ab A. </s>
              <s xml:id="echoid-s24664" xml:space="preserve">ad rectam
                <lb/>
              lineam ſubiecti plani per extrema diametrorum, & </s>
              <s xml:id="echoid-s24665" xml:space="preserve">ſint a f g. </s>
              <s xml:id="echoid-s24666" xml:space="preserve">a b h. </s>
              <s xml:id="echoid-s24667" xml:space="preserve">a i k. </s>
              <s xml:id="echoid-s24668" xml:space="preserve">a e c. </s>
              <s xml:id="echoid-s24669" xml:space="preserve">dico punctum
                <lb/>
              e. </s>
              <s xml:id="echoid-s24670" xml:space="preserve">alterum cardinem in linea repræſentare, punctum g. </s>
              <s xml:id="echoid-s24671" xml:space="preserve">extremam diametri brumæ, punctum h. </s>
              <s xml:id="echoid-s24672" xml:space="preserve">extre-
                <lb/>
              mam diametron æquatoris. </s>
              <s xml:id="echoid-s24673" xml:space="preserve">punctum k. </s>
              <s xml:id="echoid-s24674" xml:space="preserve">extremam diametri ſolstitij referre. </s>
              <s xml:id="echoid-s24675" xml:space="preserve">centro igitur C. </s>
              <s xml:id="echoid-s24676" xml:space="preserve">ſpatio uero
                <lb/>
              c g. </s>
              <s xml:id="echoid-s24677" xml:space="preserve">ducito circulum, referet is circulum brumæ. </s>
              <s xml:id="echoid-s24678" xml:space="preserve">Spatio autem c h. </s>
              <s xml:id="echoid-s24679" xml:space="preserve">ductio circulum, referet is æqua-
                <lb/>
              torem, ſpatio demum c k. </s>
              <s xml:id="echoid-s24680" xml:space="preserve">ducito circulum, referet is ſolſtitij circulum. </s>
              <s xml:id="echoid-s24681" xml:space="preserve">eadem ſi infra tropicos alios æqui-
                <lb/>
                <note position="left" xlink:label="note-514.01.354-06" xlink:href="note-514.01.354-06a" xml:space="preserve">60</note>
              </s>
            </p>
          </div>
        </div>
      </text>
    </echo>
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