Vitruvius, De architectura libri decem, 1567

Table of figures

< >
[Figure 101]
[102] FRONTE.
[103] A
[104] Græcorum ædes earumq́; partium diſpoſitiones.A. peristylium amplum.E. peristylium primum.C. aditus amplus.D. aditus ab uno ad aliudperiſtylium.E. proſtas ubi eraut duæ antæ.F. G. Antithalamus.H. I. gynæconitides.K. cu-bicuUmdiebria.L. S. oeci,& bibliotecæ,& ubi ſunt pictores.M. R. pinacotbecæ.N. cyzicena triclinia.O. porticus ad ſeptentrionem.P. cellæ hostiariæ.Q. oeci quadrati.T. V. porticus ad triclinia cizcena.X. hypæthra loca.r. oeci magni ubi matres familiarũ cum lanificijs habent ſeſſiones.Z. hoſpitalia.1. thirorium.2. Equilia.3. cubicula.4. meſaulæ & andronæ.5. triclinia quo-tidiana.6. posthalamus.7. thalamus.8. porticus Rhodiaca altior. T QVNMRN8SALKICHXYYFEG76B543O32P21
[105] Pauimentorum genera.Filandri.Anticum.
[106] c d f b c 8
[107] CHOROBATES.2 I 3 2
[108] d 10 10 a d 50 50 50 c 50 ba s d s 7 {1/14} 25 s b ce 8 8 10 84 f hm 5 43 3 4 4 3 3 4 4 5 5 5 53 5 4
[109] Figura ex meſolabio Architæ ad inueniendas medias.c t @ @ q p o n m l k l h g f p e o ξ v M @ k I o h j ε δ r B d s R q P o N M L K I H G F E L x c 6 N ς ε ξ γ B a
[110] Veſtigium meſolabij Architæ.
[111] Orthographia meſolabij Architæ.
[112] Demonſtratio Eratoſtbenis. a g t cb f b d
[113] Instrumentum Eratoſthenis. m a x g n b c n i o l v q p b e f k d
[114] Vſ{us} demonſtratio Eratoſtbenis cum inſtrumento. a h n ek l i o d b 8 m c 4
[115] Inſtrumentum Platonis. f i n o m
[116] cubus. 8 8 64 8 8 8 8 512 8s e
[117] Demonstratio Archita. p l k b o i m b e d af
[118] Demonctration Platonis. d e b c g
[119] Demostratio ter tiæ proprietatis, & aſſumptionis Nicomedis.instrumentum Nicomedis. f h d g b s n m k a
[120] Duplicatio cubi. e a b c d f g
[121] Dimonctratio prrima proprie tatis. s n m l k
[122] Vſus inſtrume ti Nicomedis & eius demő ſtratio. l e b c g f a k h i
[123] h
[124] b d c e f g
[125] a b c e d
[126] Secunda proprietas lineæ flexæ.f n e b g i d m k c
[127] a. centrum mundi.b. oculus in ſuperficie terræc. ſydus.d. uertex.b c a. angulus diuerſitatis. c d 6 a
[128] a b deferens.c. deferentis centrum.d e. epicyclus.a. centrum epicycli.f. mundi centrum.a. iugum deferentis.b. antiiugum.d. iugum epicycli. d a e c s b
[129] a b g. concentricum.d. eius centrum.e z b. eccentricum.t. eius centrum.k z. epicyclus.b. eius centrum.d t. b z. œquales.t z. d b. œquales.motus { concentrici b d a. \\ epicycli k b z. \\ eccentrici z t e. \\ anguli œquales Sol utroque modo uidetur in z. per li-neam d z. e a t d b z b k
[130] a b g. eccentricum.d. eius centrum.e. centrum mundi.a d g. linea ingi.b. centrm Solis.e z. linea medij motus parallela li-neœ b d.c b. linea ueri motus.b e z. angulus œquatio. z b a d e
< >
page |< < (11) of 412 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div1" type="section" level="1" n="1">
          <div xml:id="echoid-div40" type="section" level="2" n="40">
            <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>
          </div>
        </div>
      </text>
    </echo>