Vitruvius, De architectura libri decem, 1567

Table of figures

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[71] EXEMPLVM MONOCHORDI.VniſonumTonusSemitoniumDitonusSemiditonusTuo no
[72] Harmoni cum 92 1 {1/4} 1 {1/23} 1 {1/45} 69 15 8 216 345 360 368
[73] chrona molle 70 1 {I/15} 1 {r/14} 1 {I/27} 42 18 10 210 252 270 280
[74] Chromat non languid. 22 1 {r/6} 1 {I/11} 1 {I/21} II 7 4 66 77 84 88
[75] Diatonic nolle 21 1 {r/7} 1 {I/9} 1 {r/20} 9 8 4 63 72 80 84
[76] Molle inten tum 56 1 {I/8} 1 {I/7} 1 {I/27} 21 27 8 168 189 216 224
[77] Aquale 3 1 {I/9} 1 {I/10} 1 {I/11} 1 1 1 9 10 11 12
[78] Sintonu 24 1 {I/9} 1 {I/8} 1 {I/15} 8 10 6 72 80 90 96
[79] Diatonihem 64 {I/8} 1 {r/8} 24 27 13 192 216 243 286
[80] Hæc iam nota ſunt ex prædictis, & ex ſequenti figuratione.DiateſſaronquartaſeſquitertiaDiapentequintaſeſquialtera.Semitonium cum diapente.Sexta minorTonus cum diapenteSexta maior.Semiditonus cum diapenteSeptima minor.Diapaſonoctauadiſdiapaſon.diapaſon con diapentediapaſondiapentediateſſaron 18 16 12 8 6
[81] Diateſſ. Diapente Diat. Diat. Diat.meseSumma regio diatonimedia regio chrom.Ima regio bannonproslamua nomenos Lycanosmeſonparanete ſymemenõparanete di ezeugmenõparanete hyperboleõparameſe parhypate hypateon parhypate meſon Trite ſynne menonTrite dieze ugmenonTrite hy-perboleonHypate meſon. Meſenete ſynne-menon parameſenete diezeu gmenon nete hyper-boleon.
[Figure 82]
[Figure 83]
[Figure 84]
[Figure 85]
[Figure 86]
[87] @ESTIGIVM THEATRI GRAECORVM.P D E B R
[88] I. Laconicum.H. Tepidarium.K. Frigidarium.L. Labrum.I. Fistulæ vaporarie. L K h I
[89] a. Frigidarium.b. Tepidarium.C. caldarium.e. Laconicum.d. clypeus æneus.f. Tepidarium.g. frigidarium.i. fistulæ uaporariæ d g f e a b c
[90] VESTIGIVM PALAESTRAE.A. Ephœbeum.B. coriceum.C. conis̃terium.D. frigida lauatio.E. elæotheſium.F. frigidarium.G. propignæus.H. concamerata ſudatio.I. Laconicum.K. calda la-uatio.#L. porticus exterior.M. duplex porticus ad ſeptentrionem.N. porticus ubi athletæ exercebantur xyſtos dicta.O. platanones.P. hypethræ ambulationes, ubi æstate exercebantur athletæ.Q. ſtadium, in quo ſpectabantur athletæ.†. oriens.O. Auſter.P. occidens.♐. Septentrio.I. I. I. I. stationes. reliqua ſunt exedræ, & ſcholæ. cum periſtylijs. O N P L D C B A E F G H K M O
[91] A. Templum diui Marci.B. Turris diui Marci.C. Duæ columne.D. Forum diui ’Marci.E. D. Geminianus.F. D. Moyſes.G. D. Baſſus.H. D. Theodorus.I. D. Zacharias.K. D. Ioan. embracora.L. D. Martinus.M. D. Dominicus.N. D. Antonius.O. D. Petrus.P. D. Daniel.Q. D. Donatus.R. Dogana.S. Nauale.T. D. Cœleſtis.V. D. Franciſcus.X. D. Io. & Paulus.Y. D. Laurentius.Z. D. Seuerus.a. D. Marina.b. D. Cantianus.c. D. Apoſtoli.d. Crucigeri.e. D. Sophia.f. D. Maria ab hortis.g. D. Iob.h. S. Crux.i. D. Margarita.k. Magna domus Franciſcanorum.l. D. Paulus.m. D. Auguſtinus.n. D. Agatha.o. D. Maria mater domini.p. D. Caßiani.q. D. Matthia.r. D. Iacobus in riuo alto.ΔΔΔ. Magnus canalis.ſ. Forum riui alti.t. Pons riui alti.@. D. Maria Iubanica.x. D. Stephanus.y. Templum charitatis.Z. D. Gregorius. TRAMONTANAPONENTELEVANTE
[92] B G F M A H I N E C D
[93] A. tetrastylon cauum ædium.F. cellæ F A FF A F
[94] B. Tuſcanicum cauum ædium.E. cellæ.D. interpenſiua. E B E
[95] D D E B E
[96] C. diſpluuiatum.G. cellæ. G C G
[97] G C G
[98] D. cauædium teſtudinatum.M. cellæ.P. lumen. M D MM D P M
[99] O. cauum ædium.P. alæ.Q. uiridaria.T. ueſtibulum.Z. baſilica.r. tablinum. Z Y Q Q O Q Q T
[Figure 100]
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            <pb o="11" file="514.01.043" n="43" rhead="PRIMVS."/>
            <p>
              <s xml:id="echoid-s1224" xml:space="preserve">
                <emph style="sc">Mvsicen</emph>
              autem ſciat oportet, uti canonicam rationem, & </s>
              <s xml:id="echoid-s1225" xml:space="preserve">Mathematicam notam habeat, præ-
                <lb/>
              rerea Baliſtarum, catapultarum, ſcorpionum temperaturas poſsit rectè facere, in capitulis enim dex-
                <lb/>
              tra, ac ſiniſtra ſunt foramina, homotona, per quæ tenduntur ſucculis, & </s>
              <s xml:id="echoid-s1226" xml:space="preserve">uectibus è neruo torti fu-
                <lb/>
              nes, qui non præcluduntur, nec præligantur, niſi tinnitus ad artificis aures certos, & </s>
              <s xml:id="echoid-s1227" xml:space="preserve">æ quales fecerint.
                <lb/>
              </s>
              <s xml:id="echoid-s1228" xml:space="preserve">bracchia enim quæ in eas tenſiones includuntur, cum extenduntur æqualiter, & </s>
              <s xml:id="echoid-s1229" xml:space="preserve">pariter utraque pla-
                <lb/>
              gam emittere debent. </s>
              <s xml:id="echoid-s1230" xml:space="preserve">Quod ſi non homotona fuerint, impedient rectam telorum miſsionem. </s>
              <s xml:id="echoid-s1231" xml:space="preserve">
                <lb/>
              Item in Theatris uaſa ærea quæ in cellis ſub gradibus mathematica ratione collocantur, & </s>
              <s xml:id="echoid-s1232" xml:space="preserve">ſonituũ di-
                <lb/>
              ſcrimina; </s>
              <s xml:id="echoid-s1233" xml:space="preserve">quæ græcè ὴχ{εῖ}α uocant ad ſymphonias muſicas, ſiue concentus componuntur diuiſa in cir-
                <lb/>
              cinatione diateſſaron, & </s>
              <s xml:id="echoid-s1234" xml:space="preserve">diapente, & </s>
              <s xml:id="echoid-s1235" xml:space="preserve">diapaſon, uti uox ſcenici ſonitus conueniens in diſpoſitionibus
                <lb/>
                <note position="left" xlink:label="note-514.01.043-01" xlink:href="note-514.01.043-01a" xml:space="preserve">10</note>
              facta cum offenderit aucta cum incremento clarior, & </s>
              <s xml:id="echoid-s1236" xml:space="preserve">ſuauior ad ſpectatorum perueniat aures. </s>
              <s xml:id="echoid-s1237" xml:space="preserve">Hy-
                <lb/>
              draulicas quoque machinas, & </s>
              <s xml:id="echoid-s1238" xml:space="preserve">cætera, quæ ſunt ſimilia his organis, ſine muſicis rationibus effice-
                <lb/>
              re nemo poterit.</s>
              <s xml:id="echoid-s1239" xml:space="preserve"/>
            </p>
            <p style="it">
              <s xml:id="echoid-s1240" xml:space="preserve">Hoc loco utilem eſſe Architecto Muſicen oſtendit Vitr. </s>
              <s xml:id="echoid-s1241" xml:space="preserve">tam praxin. </s>
              <s xml:id="echoid-s1242" xml:space="preserve">quam ſpeculationem comprebendens:
                <lb/>
              </s>
              <s xml:id="echoid-s1243" xml:space="preserve">quod duobus illis uerbis innuit, { Canonicam, & </s>
              <s xml:id="echoid-s1244" xml:space="preserve">Mathematicam. </s>
              <s xml:id="echoid-s1245" xml:space="preserve">} canonica enim ad aures pertinet: </s>
              <s xml:id="echoid-s1246" xml:space="preserve">quem-
                <lb/>
              admodum opticè ad oculos, ſumitur autem à Muſicis tanquam fundamentum artis, eaq́; </s>
              <s xml:id="echoid-s1247" xml:space="preserve">ipſa eſt, quœ altitu-
                <lb/>
              dines, & </s>
              <s xml:id="echoid-s1248" xml:space="preserve">longitudines uocum metitur, commenſus autem durationis, & </s>
              <s xml:id="echoid-s1249" xml:space="preserve">temporis Græcè rithmus, latinè nu-
                <lb/>
              merus appellatur, altitudinis uerò & </s>
              <s xml:id="echoid-s1250" xml:space="preserve">interualli menſura melos, ſiuè cantus dicitur, habet autem canonica
                <lb/>
              alteram partem; </s>
              <s xml:id="echoid-s1251" xml:space="preserve">quæ metrica nominatur: </s>
              <s xml:id="echoid-s1252" xml:space="preserve">eſt enim ars componendorum carminum, qui prædictarum menſu-
                <lb/>
              rarum effectus ſunt in ſyllabis, & </s>
              <s xml:id="echoid-s1253" xml:space="preserve">in dictionibus: </s>
              <s xml:id="echoid-s1254" xml:space="preserve">ars iucunda ualdè, & </s>
              <s xml:id="echoid-s1255" xml:space="preserve">humanæ naturæ ſocia, ( canonica, ſiue
                <lb/>
                <note position="left" xlink:label="note-514.01.043-02" xlink:href="note-514.01.043-02a" xml:space="preserve">20</note>
              regularis dicitur, ut inquit Boetius ) quoniam non omne iudicium ſenſibus concedendum est, quoniam fal-
                <lb/>
              luntur, & </s>
              <s xml:id="echoid-s1256" xml:space="preserve">leui offenſione ſœpius immutantur, licet prius occaſionem a ſenſibus deſumamus, ideò fit, ut uis
                <lb/>
              & </s>
              <s xml:id="echoid-s1257" xml:space="preserve">perfectio notitiæ in ratione collocetur: </s>
              <s xml:id="echoid-s1258" xml:space="preserve">quœ cum certis regulis, quaſi prœſcriptis obfirmata fuerit, nos er-
                <lb/>
              rare amplius non permittit. </s>
              <s xml:id="echoid-s1259" xml:space="preserve">ideò canonica, & </s>
              <s xml:id="echoid-s1260" xml:space="preserve">regulata dicitur. </s>
              <s xml:id="echoid-s1261" xml:space="preserve">Mathematica uero est, quæ nulla ratione
                <lb/>
              ſenſuum habita indicij facultatem ſpeculationi concedit, propoſitamq; </s>
              <s xml:id="echoid-s1262" xml:space="preserve">rationem harmoniæ modulationis, & </s>
              <s xml:id="echoid-s1263" xml:space="preserve">
                <lb/>
              generum, permixtionisq́; </s>
              <s xml:id="echoid-s1264" xml:space="preserve">inueſtigat. </s>
              <s xml:id="echoid-s1265" xml:space="preserve">atque altius ſuſpicendo cœlorum concentum, atque animœ ſymphoniam
                <lb/>
              ſpeculatur: </s>
              <s xml:id="echoid-s1266" xml:space="preserve">ſed nos hæc omnia libro quinto dilucidius explicabimus.</s>
              <s xml:id="echoid-s1267" xml:space="preserve"/>
            </p>
            <p>
              <s xml:id="echoid-s1268" xml:space="preserve">
                <emph style="sc">Praeterea</emph>
              Baliſtarum, Catapultarum, Scorpionum temperaturas poſsit rectè facere.</s>
              <s xml:id="echoid-s1269" xml:space="preserve"/>
            </p>
            <p style="it">
              <s xml:id="echoid-s1270" xml:space="preserve">Alius item muſicæ uſus in quarundam machinarum contentionibus & </s>
              <s xml:id="echoid-s1271" xml:space="preserve">temperaturis, de quibus libro: </s>
              <s xml:id="echoid-s1272" xml:space="preserve">de-
                <lb/>
              cimo cap. </s>
              <s xml:id="echoid-s1273" xml:space="preserve">decimo octauo. </s>
              <s xml:id="echoid-s1274" xml:space="preserve">nec opus initio omnia afferre; </s>
              <s xml:id="echoid-s1275" xml:space="preserve">quæ ſuis locis diligentius, & </s>
              <s xml:id="echoid-s1276" xml:space="preserve">utilius explicabun-
                <lb/>
                <note position="left" xlink:label="note-514.01.043-03" xlink:href="note-514.01.043-03a" xml:space="preserve">30</note>
              tur, ſatis eſt illud eandem haberi rationem, & </s>
              <s xml:id="echoid-s1277" xml:space="preserve">comparationem inter ſonos, quœ habetur inter ſpatia. </s>
              <s xml:id="echoid-s1278" xml:space="preserve">cum igi-
                <lb/>
              tur utrumque machinæ brachium œquali longitudine menſura, est, funis quoque, quæ contenditur œqualis
                <lb/>
              erit, utriuſque etiam partis ſonus œqualis: </s>
              <s xml:id="echoid-s1279" xml:space="preserve">quare & </s>
              <s xml:id="echoid-s1280" xml:space="preserve">contentio, & </s>
              <s xml:id="echoid-s1281" xml:space="preserve">temperatura œqualiter tela mittet. </s>
              <s xml:id="echoid-s1282" xml:space="preserve">hinc
                <lb/>
              eſt illud, quod dicit Vitr. </s>
              <s xml:id="echoid-s1283" xml:space="preserve">loco ſupracitato. </s>
              <s xml:id="echoid-s1284" xml:space="preserve">{ Deinde anſæ rudentum inducuntur per foramina capitulorum, & </s>
              <s xml:id="echoid-s1285" xml:space="preserve">
                <lb/>
              in alteram partem traijciuntur, deinde in ſucculas conijciuntur, inuoluunturque uectibus, uti per eas extenti
                <lb/>
              rudentes cum manibus ſunt tacti, æqualem in utroque ſontius habent reſponſum. </s>
              <s xml:id="echoid-s1286" xml:space="preserve">tunc autem cuneis ad forami-
                <lb/>
              na concluduntur, ut non poſſint ſe remittere, ita traiecti in alteram partem eadem ratione uectib. </s>
              <s xml:id="echoid-s1287" xml:space="preserve">per ſuc-
                <lb/>
              culas extenduntur, donec œqualiter ſonent } homotona hoc loco dixit, ita cuneorum concluſio nibus ad ſoni
                <lb/>
              tum muſicis auditionibus catapultœ temperantur, nos ſuccularum, uectium, aliorumq́ inſtrumentorum de-
                <lb/>
              ſcriptiones, & </s>
              <s xml:id="echoid-s1288" xml:space="preserve">rationes decimo libro explicabimus.</s>
              <s xml:id="echoid-s1289" xml:space="preserve"/>
            </p>
            <p>
              <s xml:id="echoid-s1290" xml:space="preserve">
                <emph style="sc">Item</emph>
              in Theatris uaſa ærea, quæ in cellis ſub gradibus Mathematica ratione collocantur.</s>
              <s xml:id="echoid-s1291" xml:space="preserve"/>
            </p>
            <note position="left" xml:space="preserve">40</note>
            <p style="it">
              <s xml:id="echoid-s1292" xml:space="preserve">Maximus quoque hoc loco Muſicæ uſus eſt in his uaſis conficiendis, ponebantur enim in circuitione Thea-
                <lb/>
              tri ſub cellis ordine quodam, & </s>
              <s xml:id="echoid-s1293" xml:space="preserve">muſicis rationibus, quas Mathematicas Vitru. </s>
              <s xml:id="echoid-s1294" xml:space="preserve">uocat conuenientia inter ſe,
                <lb/>
              unde & </s>
              <s xml:id="echoid-s1295" xml:space="preserve">claritas uocis, & </s>
              <s xml:id="echoid-s1296" xml:space="preserve">concentus efficiebatur: </s>
              <s xml:id="echoid-s1297" xml:space="preserve">quorum artificium libro quinto cap. </s>
              <s xml:id="echoid-s1298" xml:space="preserve">proprio expeditur,
                <lb/>
              ibi etiam copiosè de ſymphonijs, & </s>
              <s xml:id="echoid-s1299" xml:space="preserve">de generibus modulationum tractatur.</s>
              <s xml:id="echoid-s1300" xml:space="preserve"/>
            </p>
            <p>
              <s xml:id="echoid-s1301" xml:space="preserve">
                <emph style="sc">Hydravlicas</emph>
              quoque Machinas, & </s>
              <s xml:id="echoid-s1302" xml:space="preserve">cætera, quæ ſunt ſimilia his organis ſine muſicis rationibus
                <lb/>
              efficere nemo poterit.</s>
              <s xml:id="echoid-s1303" xml:space="preserve"/>
            </p>
            <p style="it">
              <s xml:id="echoid-s1304" xml:space="preserve">De machina hydraulica lib. </s>
              <s xml:id="echoid-s1305" xml:space="preserve">decimo fuſius tractatur tertio decimo capite. </s>
              <s xml:id="echoid-s1306" xml:space="preserve">erat enim machina: </s>
              <s xml:id="echoid-s1307" xml:space="preserve">quæ aquæ agi-
                <lb/>
              tatione, & </s>
              <s xml:id="echoid-s1308" xml:space="preserve">ſpiritus impulſione fiſtulas ſonum edere cogebat: </s>
              <s xml:id="echoid-s1309" xml:space="preserve">horologiorum quoque machinæ quædam, & </s>
              <s xml:id="echoid-s1310" xml:space="preserve">hau-
                <lb/>
              riendœ aquœ hydraulicœ, uocantur; </s>
              <s xml:id="echoid-s1311" xml:space="preserve">quod & </s>
              <s xml:id="echoid-s1312" xml:space="preserve">nono, & </s>
              <s xml:id="echoid-s1313" xml:space="preserve">decimo libro erit manifeſtum, ubi diligenter om-
                <lb/>
              nia deſcribemus.</s>
              <s xml:id="echoid-s1314" xml:space="preserve"/>
            </p>
            <note position="left" xml:space="preserve">50</note>
            <p>
              <s xml:id="echoid-s1315" xml:space="preserve">
                <emph style="sc">Disciplinam</emph>
              uerò medicinæ nouiſſe oportet propter inclinationes cœli quas græci dicunt
                <lb/>
              γλίματα, & </s>
              <s xml:id="echoid-s1316" xml:space="preserve">aeres locorum, qui ſunt ſalubres, aut peſtilentes, aquarumq; </s>
              <s xml:id="echoid-s1317" xml:space="preserve">uſus, ſine enim his rationib.
                <lb/>
              </s>
              <s xml:id="echoid-s1318" xml:space="preserve">nulla ſalubris habitatio fieri poteſt.</s>
              <s xml:id="echoid-s1319" xml:space="preserve"/>
            </p>
            <p style="it">
              <s xml:id="echoid-s1320" xml:space="preserve">Cœli inclinationes, a Grecis κλίματα dicuntur, ſunt autem cœli ſpatia inter duos œquidistantes circulos ex
                <lb/>
              temporis, & </s>
              <s xml:id="echoid-s1321" xml:space="preserve">horarum interuallis deſumptos, de quibus etiam nono libro ſatis apertè dicitur, ſexto item cap.
                <lb/>
              </s>
              <s xml:id="echoid-s1322" xml:space="preserve">primo. </s>
              <s xml:id="echoid-s1323" xml:space="preserve">Medicina verò opus eſt Architecto, cuius non ignorans fuit Vitr. </s>
              <s xml:id="echoid-s1324" xml:space="preserve">nam & </s>
              <s xml:id="echoid-s1325" xml:space="preserve">de locorum ſalubrit
                <unsure/>
              ate in
                <lb/>
              primo, & </s>
              <s xml:id="echoid-s1326" xml:space="preserve">de regionum proprietatibus in ſexto, & </s>
              <s xml:id="echoid-s1327" xml:space="preserve">de aquarum qualitatibus in octauo, & </s>
              <s xml:id="echoid-s1328" xml:space="preserve">de naturis herba-
                <lb/>
              rum, & </s>
              <s xml:id="echoid-s1329" xml:space="preserve">animalium paſſim tractat: </s>
              <s xml:id="echoid-s1330" xml:space="preserve">quemadmodum legentibus inoteſcet. </s>
              <s xml:id="echoid-s1331" xml:space="preserve">Eſt autem medicina ſcientia rerum ſa=
                <lb/>
              lubrium, inſalubrium, & </s>
              <s xml:id="echoid-s1332" xml:space="preserve">neutrorum Galeno teſte in contemplatricem, & </s>
              <s xml:id="echoid-s1333" xml:space="preserve">practicem diſtincta, cum altera
                <lb/>
              ſcientiam oſtẽdat demonſtrando res naturales, non naturales, præter naturales, morbos, cauſas, accidentia, & </s>
              <s xml:id="echoid-s1334" xml:space="preserve">
                <lb/>
                <note position="left" xlink:label="note-514.01.043-06" xlink:href="note-514.01.043-06a" xml:space="preserve">60</note>
              </s>
            </p>
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