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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              <s xml:id="echoid-s20946" xml:space="preserve">
                <pb o="277" file="514.01.309" n="309" rhead="NONVS."/>
              eſſe poſuimus, ſed a b. </s>
              <s xml:id="echoid-s20947" xml:space="preserve">ex constructione ſupra c b e. </s>
              <s xml:id="echoid-s20948" xml:space="preserve">adrectos cadit ſimiliter c b. </s>
              <s xml:id="echoid-s20949" xml:space="preserve">perpendicularis eſt
                <lb/>
              ipſi d b g. </s>
              <s xml:id="echoid-s20950" xml:space="preserve">ex corollario ergo octauæ ſexti b d. </s>
              <s xml:id="echoid-s20951" xml:space="preserve">eſt comparabilis illi, quæ cadit inter c b. </s>
              <s xml:id="echoid-s20952" xml:space="preserve">& </s>
              <s xml:id="echoid-s20953" xml:space="preserve">b c. </s>
              <s xml:id="echoid-s20954" xml:space="preserve">pa
                <lb/>
              ri quoqueratione b c. </s>
              <s xml:id="echoid-s20955" xml:space="preserve">eſt media inter b d. </s>
              <s xml:id="echoid-s20956" xml:space="preserve">& </s>
              <s xml:id="echoid-s20957" xml:space="preserve">b g. </s>
              <s xml:id="echoid-s20958" xml:space="preserve">Poſita igitur ratione & </s>
              <s xml:id="echoid-s20959" xml:space="preserve">proportione communi li-
                <lb/>
              neæ b d. </s>
              <s xml:id="echoid-s20960" xml:space="preserve">& </s>
              <s xml:id="echoid-s20961" xml:space="preserve">lineæ b c. </s>
              <s xml:id="echoid-s20962" xml:space="preserve">ſequitur quod g b. </s>
              <s xml:id="echoid-s20963" xml:space="preserve">eam comparationem habebit lineæ b d. </s>
              <s xml:id="echoid-s20964" xml:space="preserve">quam habebit c
                <lb/>
              b. </s>
              <s xml:id="echoid-s20965" xml:space="preserve">ipſi c b. </s>
              <s xml:id="echoid-s20966" xml:space="preserve">quoniam utraq́; </s>
              <s xml:id="echoid-s20967" xml:space="preserve">proportio, ut patuit, eſt ut b d. </s>
              <s xml:id="echoid-s20968" xml:space="preserve">ad b c. </s>
              <s xml:id="echoid-s20969" xml:space="preserve">ex undecima quinti. </s>
              <s xml:id="echoid-s20970" xml:space="preserve">igitur ut g
                <lb/>
              b ad b d ita b d. </s>
              <s xml:id="echoid-s20971" xml:space="preserve">ad b c. </s>
              <s xml:id="echoid-s20972" xml:space="preserve">ita c d. </s>
              <s xml:id="echoid-s20973" xml:space="preserve">ad b e. </s>
              <s xml:id="echoid-s20974" xml:space="preserve">Datis ergo duabus rectis b g. </s>
              <s xml:id="echoid-s20975" xml:space="preserve">& </s>
              <s xml:id="echoid-s20976" xml:space="preserve">e b. </s>
              <s xml:id="echoid-s20977" xml:space="preserve">inuentæfue-
                <lb/>
                <figure xlink:label="fig-514.01.309-01" xlink:href="fig-514.01.309-01a" number="110">
                  <caption xml:id="echoid-caption37" xml:space="preserve">Veſtigium meſolabij Architæ.</caption>
                </figure>
                <figure xlink:label="fig-514.01.309-02" xlink:href="fig-514.01.309-02a" number="111">
                  <caption xml:id="echoid-caption38" xml:space="preserve">Orthographia meſolabij Architæ.</caption>
                </figure>
                <note position="left" xlink:label="note-514.01.309-01" xlink:href="note-514.01.309-01a" xml:space="preserve">10</note>
                <note position="left" xlink:label="note-514.01.309-02" xlink:href="note-514.01.309-02a" xml:space="preserve">20</note>
                <note position="left" xlink:label="note-514.01.309-03" xlink:href="note-514.01.309-03a" xml:space="preserve">30</note>
              runt duæmediæ proportione reſpondentes. </s>
              <s xml:id="echoid-s20978" xml:space="preserve">b d. </s>
              <s xml:id="echoid-s20979" xml:space="preserve">& </s>
              <s xml:id="echoid-s20980" xml:space="preserve">b e. </s>
              <s xml:id="echoid-s20981" xml:space="preserve">atque ea eſt Platonis inuentio. </s>
              <s xml:id="echoid-s20982" xml:space="preserve">Instrumentum
                <lb/>
              uero huiuſmodi eſt. </s>
              <s xml:id="echoid-s20983" xml:space="preserve">Esto norma k m l. </s>
              <s xml:id="echoid-s20984" xml:space="preserve">in cuius altero ancone accommodetur regula n o ad rectos angu-
                <lb/>
              los quæ progredi, ac regredi poßit. </s>
              <s xml:id="echoid-s20985" xml:space="preserve">hoc ſimplicißimo instrumento duæ mediæ comparabiles facile inue-
                <lb/>
                <note position="left" xlink:label="note-514.01.309-04" xlink:href="note-514.01.309-04a" xml:space="preserve">40</note>
              nientur.</s>
              <s xml:id="echoid-s20986" xml:space="preserve">eſto e b. </s>
              <s xml:id="echoid-s20987" xml:space="preserve">& </s>
              <s xml:id="echoid-s20988" xml:space="preserve">b g. </s>
              <s xml:id="echoid-s20989" xml:space="preserve">ut in demonſtratione poſuimus in b ad rectum angulum cadentes, & </s>
              <s xml:id="echoid-s20990" xml:space="preserve">produ-
                <lb/>
              cantur ut ſupra. </s>
              <s xml:id="echoid-s20991" xml:space="preserve">tunc accommodetur organum lineis c b. </s>
              <s xml:id="echoid-s20992" xml:space="preserve">& </s>
              <s xml:id="echoid-s20993" xml:space="preserve">b g. </s>
              <s xml:id="echoid-s20994" xml:space="preserve">ita ut latus normæ k m. </s>
              <s xml:id="echoid-s20995" xml:space="preserve">cadat in g.
                <lb/>
              </s>
              <s xml:id="echoid-s20996" xml:space="preserve">& </s>
              <s xml:id="echoid-s20997" xml:space="preserve">angulus m. </s>
              <s xml:id="echoid-s20998" xml:space="preserve">applicetur lineæ b c. </s>
              <s xml:id="echoid-s20999" xml:space="preserve">angulus o. </s>
              <s xml:id="echoid-s21000" xml:space="preserve">ſit ſupra b d. </s>
              <s xml:id="echoid-s21001" xml:space="preserve">& </s>
              <s xml:id="echoid-s21002" xml:space="preserve">regula mobilis per punctum e ue-
                <lb/>
              niat, ita quod tamen ſuperponatur puncto e & </s>
              <s xml:id="echoid-s21003" xml:space="preserve">o cadat ſupra d. </s>
              <s xml:id="echoid-s21004" xml:space="preserve">ita collocato organo habebis duas me-
                <lb/>
              dias b d. </s>
              <s xml:id="echoid-s21005" xml:space="preserve">& </s>
              <s xml:id="echoid-s21006" xml:space="preserve">b c. </s>
              <s xml:id="echoid-s21007" xml:space="preserve">comparabiles inter duas datas e b. </s>
              <s xml:id="echoid-s21008" xml:space="preserve">& </s>
              <s xml:id="echoid-s21009" xml:space="preserve">b g. </s>
              <s xml:id="echoid-s21010" xml:space="preserve">cuius rei eadem, quæ ſupra eſt demon-
                <lb/>
              ſtratio. </s>
              <s xml:id="echoid-s21011" xml:space="preserve">Nicomedes alia uia. </s>
              <s xml:id="echoid-s21012" xml:space="preserve">& </s>
              <s xml:id="echoid-s21013" xml:space="preserve">inſtrumento utebatur, ſubtiliter ſanè, & </s>
              <s xml:id="echoid-s21014" xml:space="preserve">maxime ad artiſicum utilitatẽ accõ
                <lb/>
              modato. </s>
              <s xml:id="echoid-s21015" xml:space="preserve">Inſtrumenti constructio est huiuſinodi. </s>
              <s xml:id="echoid-s21016" xml:space="preserve">Regulæ in formam literæ T ad angulos rectos Poneban-
                <lb/>
              tur ita uta utriuſq; </s>
              <s xml:id="echoid-s21017" xml:space="preserve">idem utrinque planum eſſet, regula a b. </s>
              <s xml:id="echoid-s21018" xml:space="preserve">recta regula c d. </s>
              <s xml:id="echoid-s21019" xml:space="preserve">tranſuerſa. </s>
              <s xml:id="echoid-s21020" xml:space="preserve">in recta a b. </s>
              <s xml:id="echoid-s21021" xml:space="preserve">ca
                <lb/>
              nalis erat in quo cuneus ſurſum ac deorſum mouebatur, per medium autem c d tranſuerſa linea,in cuius ex-
                <lb/>
              tremo d fixus erat clauiculus g h. </s>
              <s xml:id="echoid-s21022" xml:space="preserve">adrectos angulos extra ſuperficiem regulæ c d. </s>
              <s xml:id="echoid-s21023" xml:space="preserve">in claniculo ſoramen
                <lb/>
                <note position="left" xlink:label="note-514.01.309-05" xlink:href="note-514.01.309-05a" xml:space="preserve">50</note>
              erat in quo regula parua e f mouebatur coniuncta cum cuneo in canali poſito. </s>
              <s xml:id="echoid-s21024" xml:space="preserve">esto igitur caput regulæ par
                <lb/>
              uæ k. </s>
              <s xml:id="echoid-s21025" xml:space="preserve">ſimouebis cuneumper canalem aut ad a. </s>
              <s xml:id="echoid-s21026" xml:space="preserve">aut ad b. </s>
              <s xml:id="echoid-s21027" xml:space="preserve">ſimul cum regula e f. </s>
              <s xml:id="echoid-s21028" xml:space="preserve">ſemper e per lineam
                <lb/>
              rectam mouebitur, & </s>
              <s xml:id="echoid-s21029" xml:space="preserve">linea e f in clauiculi foramine ingredietur, & </s>
              <s xml:id="echoid-s21030" xml:space="preserve">egredietur. </s>
              <s xml:id="echoid-s21031" xml:space="preserve">& </s>
              <s xml:id="echoid-s21032" xml:space="preserve">recta media regulæ e
                <lb/>
              f. </s>
              <s xml:id="echoid-s21033" xml:space="preserve">ſuo motu mouebitur per foramen clauiculi. </s>
              <s xml:id="echoid-s21034" xml:space="preserve">obſeruabitur ergo ecceſſum e k. </s>
              <s xml:id="echoid-s21035" xml:space="preserve">regulæ e f. </s>
              <s xml:id="echoid-s21036" xml:space="preserve">ſemper idem
                <lb/>
              & </s>
              <s xml:id="echoid-s21037" xml:space="preserve">eiuſdem longitudinis fore. </s>
              <s xml:id="echoid-s21038" xml:space="preserve">quare ſi in k apponetur aliquid quod deſcribere aut ſignare poßit planum ſub-
                <lb/>
              iectum regulæ paruæ motu deſcribetur flexa quædam linea ut l m n. </s>
              <s xml:id="echoid-s21039" xml:space="preserve">quam Nicomedes primam Conchoiden
                <lb/>
              uocat.</s>
              <s xml:id="echoid-s21040" xml:space="preserve">& </s>
              <s xml:id="echoid-s21041" xml:space="preserve">interuallum inter e & </s>
              <s xml:id="echoid-s21042" xml:space="preserve">k. </s>
              <s xml:id="echoid-s21043" xml:space="preserve">magnitudinem regulæ appellat, punctum uero d. </s>
              <s xml:id="echoid-s21044" xml:space="preserve">polum, in flexa illa
                <lb/>
              linea tres proprietates inueniri: </s>
              <s xml:id="echoid-s21045" xml:space="preserve">quarum una est quod linea flexa l m n. </s>
              <s xml:id="echoid-s21046" xml:space="preserve">quo plus producitur,eò minus di-
                <lb/>
              ſtat a recta a b. </s>
              <s xml:id="echoid-s21047" xml:space="preserve">ut uidetur nota c. </s>
              <s xml:id="echoid-s21048" xml:space="preserve">plus diſtare ab a b. </s>
              <s xml:id="echoid-s21049" xml:space="preserve">quam notam n. </s>
              <s xml:id="echoid-s21050" xml:space="preserve">& </s>
              <s xml:id="echoid-s21051" xml:space="preserve">n. </s>
              <s xml:id="echoid-s21052" xml:space="preserve">pluſquam m. </s>
              <s xml:id="echoid-s21053" xml:space="preserve">& </s>
              <s xml:id="echoid-s21054" xml:space="preserve">de-
                <lb/>
              nique m. </s>
              <s xml:id="echoid-s21055" xml:space="preserve">pluſquam l. </s>
              <s xml:id="echoid-s21056" xml:space="preserve">quod aperte uidebis,ſi anotis c n m l. </s>
              <s xml:id="echoid-s21057" xml:space="preserve">cadant perpendiculares in a b. </s>
              <s xml:id="echoid-s21058" xml:space="preserve">Se-
                <lb/>
                <note position="left" xlink:label="note-514.01.309-06" xlink:href="note-514.01.309-06a" xml:space="preserve">60</note>
              </s>
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