Vitruvius, De architectura libri decem, 1567

Table of figures

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[151] 17 18 19 20 21 22 16 23 15 14 13 12 11 10 11 12 21 22 10 9 23 M
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[152] Q K r n r 12 11 K 2 2 @ 4 p 8 7 e t 8 9 c P 7 4 3 10 7 @ P 5 q P 6 2 8 7 q P t t 11 1 I 1 11 7 q p 2 10 q p 3 9 @ a e b 4 8 2 7 6 5 P 10 6 f P 9 3 8 4 f P 1 f P 11 10 2 a f b e 4 9 3 11 10 2 11 1 11 1 u m 12 15 @ d 12 4 5 m 3 4 5 7 8 9 d @ 2 @ 0 10 2 11 1 a 0 s 7 1 n P p 5 6 7 10 6 6 6 3 4 8 9 7 e 5 5 7 4 5 3 10 11 12 1 2 3 8 9 3 1 e H 23 10 22 24 23 22 15 16 17 18 19 21 13 14 20
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[153] Horologia in plano meridiani.6 5 4 3 2 1 7 8 9 10 11 12 u l d 7 4 8 3 9 2 10 b n n n n n 5 4 3 2 1 a c e c y n n n n n p 1 2 3 4 5 n ſ ſ 4 3 2 1 r 4 3 2 1 e 4 3 2 1 B 9 10 11 12 13 14 e H 5 6 7 8 9 10 11 e E g r 7 6 5 4 3 2 1 F g d 23 22 21 20 19 18 18 c g G d f a b e g c 1 2 3 4 5 4 3 2 1 8 7 6 5 4 3 2 1 f D e 11 10 19 18
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[154] Horologia in plano æquinoctialis.d b 5 6 7 4 8 9 3 g f k L @ m 2 10 l 8 1 11 a e b B L 1 f k m h @ z r s 1 n 11 A 2 1 10 12 3 9 11 1 4 8 10 1 2 5 6 7 b d 9 3 8 4 7 5 6 c 6 7 5 8 4 9 3 18 17 16 10 2 16 17 18 19 11 12 1 19 20 14 14 20 21 13 13 21 22 12 12 22 23 11 23 24 24 14 14 23 15 23 22 15 22 16 16 21 17 21 20 19 18 17 18 19 20
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[155] 12 11 10 9 8 7 6 5 4 3 2 1 12 11 10 9 8 7 6 5 4 3 2 1
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[156] Instrumenta è regione poſita ſeruiunt fronti horologij ſequentis, illud uero inſerius eſt immobil-le ad aliud, & aliud ab artiſicio aquæ mouetur.B 270 A 360 stella.p.@ f 180 C 10 hircuſ@ 20 30 40 x cani ſminor* 50 60 70 80 90 C@nis Maior* D
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[157] 6 5 7 4 8 3 9 2 10 1 11 12 T R 12 L 11 1 A f C 10 2 9 3 8 4 7 5 6
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[Figure 158]
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[Figure 159]
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[Figure 160]
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[161] Funium nodi.
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[162] Scala in carcheſio poſita.
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[163] Figura aniſocyclorum.
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[164] Trochlearum ratio.
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[165] B. ergata.C. trochlea ſuperior.D. ſucula.E. tigna.F. pondus.I. forcipes.G. ſucula.H. fibula.O. chelonia.P. uectes.S. carcheſia. S H C A D E F T I B G
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[166] Trochleæ cum tympano.
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[167] F. trochleaſuperior.L. trochlea inferior artemon dicta.†. onus.A. nectis.3. onus.1. hypomochlium.2. nectis, mochlium.V. ſpbœroma, œquipondium.Q S. lances.X. lances.K. anſa. examen.8. cuneus.7. 9. uectis.10. onus.H G. vectes.M. pondus.O N. colhlea.D. pali.L. locus artemonis.C. chelonia.F. regula.B. antarijunes.E. locus ductariorum funium ubifibulæx. libra ſuffulta. E B F H G 8 C N O K D L M † 6 7 10 x 3 2 1 R V S Q
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[168] d a c b e
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[Figure 169]
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[Figure 170]
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[171] A. aqua in arca œrea depreſſa.B. delſines ærei.C. modioli.D. Regulæ ſcalari forma.E. taxilli tribus digitis alti.F. catenæ cymbala tenentes.G. inſundibulum inuerſum.H. Fiſtulæ, per quas aer modiolorum ſubintrat infundibulum.I. uectes.K. manubria, quæ aperiunt nares ad tubulos.L. pinnæ ſub quibus lingulæ omnium organorum.O. regulæ inter tabulam quæ pinax dicitur & registrum.P. pinna depreſſa.Q. tabula.R. pinnarum forma ſeparata.S. lingulæ.T. ceruicula.V. aquaexpulſa.X. pars arcæ..... foraminaper quæ aer ad canna, fertur.
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[Figure 172]
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[Figure 173]
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[Figure 174]
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          <div xml:id="echoid-div831" type="section" level="2" n="154">
            <p>
              <s xml:id="echoid-s26160" xml:space="preserve">
                <pb o="346" file="514.01.378" n="378" rhead="LIBER"/>
              titudinem, qua opus fuerit, conuenire poſsit. </s>
              <s xml:id="echoid-s26161" xml:space="preserve">Circum extremum latus rotæ figentur modioli qua-
                <lb/>
              drati, pice & </s>
              <s xml:id="echoid-s26162" xml:space="preserve">cera ſolidati. </s>
              <s xml:id="echoid-s26163" xml:space="preserve">Ita cum rota a calcantibus uerſabitur, modioli pleni ad ſummum elati,
                <lb/>
              rurſus ad imum reuertentes, infundent in caſtellum ipſi per ſe, quod extulerunt. </s>
              <s xml:id="echoid-s26164" xml:space="preserve">Sin autem magis
                <lb/>
              altis locis erit præbendum, in eiuſdem rotæ axe inuoluta duplex ferrea catena, demiſſaq́; </s>
              <s xml:id="echoid-s26165" xml:space="preserve">ad imum
                <lb/>
              libramentum collocabitur, habens ſitulos pendentes æreos congiales, ita uerſatio rotæ catenam in
                <lb/>
              axem inuoluendo, effert ſitulos in ſummum, qui cum ſuper axem peruehentur, cogentur inuerti, & </s>
              <s xml:id="echoid-s26166" xml:space="preserve">
                <lb/>
              infundere in caſtellum id aquæ, quod extulerunt.</s>
              <s xml:id="echoid-s26167" xml:space="preserve"/>
            </p>
          </div>
          <div xml:id="echoid-div833" type="section" level="2" n="155">
            <head xml:id="echoid-head163" style="it" xml:space="preserve">De rotis, & tympanis ad molendam farinam. # Cap. X.</head>
            <note position="left" xml:space="preserve">10</note>
            <p>
              <s xml:id="echoid-s26168" xml:space="preserve">
                <emph style="sc">FIvnt</emph>
              etiam in fluminibus rotæ eiſdem rationibus, quibus ſupraſcriptum eſt. </s>
              <s xml:id="echoid-s26169" xml:space="preserve">Circa earum
                <lb/>
              frontes aſſiguntur pinnæ, quæ cum percutiuntur ab impetu fluminis, cogune progredien
                <lb/>
              tes uerſarirotam: </s>
              <s xml:id="echoid-s26170" xml:space="preserve">& </s>
              <s xml:id="echoid-s26171" xml:space="preserve">ita modiolis aquam haurientes, & </s>
              <s xml:id="echoid-s26172" xml:space="preserve">in ſummum referentes, ſine ope-
                <lb/>
              rarum calcatura, ipſius fluminis impulſu uerſatæ, præſtant quod opus eſt, ad uſum.
                <lb/>
              </s>
              <s xml:id="echoid-s26173" xml:space="preserve">Eadem ratione etiam uerſantur hydraulæ, in quibus eadem ſunt omnia, præterquam quod in uno
                <lb/>
              capite axis habent tympanum dentatum, & </s>
              <s xml:id="echoid-s26174" xml:space="preserve">incluſum; </s>
              <s xml:id="echoid-s26175" xml:space="preserve">id autem ad perpendiculum collocatum in
                <lb/>
              cultrum, uerſatur cum rota pariter. </s>
              <s xml:id="echoid-s26176" xml:space="preserve">Secundum id tympanum, maius item dentatum planum eſt col-
                <lb/>
              locatum, quo continetur axis, habens in ſummo capite ſubſcudem ferream, qua mola continetur. </s>
              <s xml:id="echoid-s26177" xml:space="preserve">
                <lb/>
              @ta dentes eius tympanis, quod eſtin axe incluſum, impellendo dentes tympani plani, cogunt fieri
                <lb/>
              molarum circinationem, in qua machina impendens infundibulum, ſubminiſtrat molis frumentum,
                <lb/>
                <note position="left" xlink:label="note-514.01.378-02" xlink:href="note-514.01.378-02a" xml:space="preserve">20</note>
              & </s>
              <s xml:id="echoid-s26178" xml:space="preserve">eadem uerſatione ſubigitur farina.</s>
              <s xml:id="echoid-s26179" xml:space="preserve"/>
            </p>
          </div>
          <div xml:id="echoid-div835" type="section" level="2" n="156">
            <head xml:id="echoid-head164" style="it" xml:space="preserve">De Cochlea, quæ magnam copiam extollit aquæ, ſed non
              <lb/>
            tam alte. # Cap. XI.</head>
            <p>
              <s xml:id="echoid-s26180" xml:space="preserve">
                <emph style="sc">ESt</emph>
              autem etiam cochleæ ratio, quæ magnam uim haurit quæ, ſed non tam alte tollit,
                <lb/>
              quàm rota. </s>
              <s xml:id="echoid-s26181" xml:space="preserve">Eius autem ratio ſic expeditur. </s>
              <s xml:id="echoid-s26182" xml:space="preserve">Tignum ſumitur, cuius tigni quanta fuerit
                <lb/>
              pedum longitudo, tanta digitorum expeditur craſsitudo: </s>
              <s xml:id="echoid-s26183" xml:space="preserve">id ad circinum rotundatur.
                <lb/>
              </s>
              <s xml:id="echoid-s26184" xml:space="preserve">In capitibus circino diuiduntur circinationes eorum tetrantibus in partes quatuor, uel
                <lb/>
                <note position="left" xlink:label="note-514.01.378-03" xlink:href="note-514.01.378-03a" xml:space="preserve">30</note>
              octantibus in partes octo ductis lineis: </s>
              <s xml:id="echoid-s26185" xml:space="preserve">eæq́; </s>
              <s xml:id="echoid-s26186" xml:space="preserve">lineæ ita collocentur, ut in plano poſito tigno ad libellã,
                <lb/>
              utriuſque capitis clineæ inter ſe reſpondeant ad perpendiculum: </s>
              <s xml:id="echoid-s26187" xml:space="preserve">ab his deinde a capite ad alterum ca-
                <lb/>
              put lineæ perducantur conuentientes, uti quàm magna erit pars octaua circinationis tigni, tam magnis
                <lb/>
              ſpatijs diſtent ſecundum lat
                <unsure/>
              itudinem. </s>
              <s xml:id="echoid-s26188" xml:space="preserve">Sic & </s>
              <s xml:id="echoid-s26189" xml:space="preserve">in rotundatione & </s>
              <s xml:id="echoid-s26190" xml:space="preserve">in longitudine æqualia ſpatia fient.
                <lb/>
              </s>
              <s xml:id="echoid-s26191" xml:space="preserve">Ita quo loci deſcribuntur lineæ, quæ ſunt in longitudine ſpectantes, faciendæ decuſſationes, & </s>
              <s xml:id="echoid-s26192" xml:space="preserve">in de-
                <lb/>
              cuſſationibus finita puncta. </s>
              <s xml:id="echoid-s26193" xml:space="preserve">His ita emendate deſcrip@s, ſumitur ſalignea tenuis, aute de uitici ſecta
                <lb/>
              regula, quæ uncta liquida pice figitur in primo decuſsis puncto: </s>
              <s xml:id="echoid-s26194" xml:space="preserve">deinde traijcitur oblique ad inſequẽ-
                <lb/>
              tes longitudines, & </s>
              <s xml:id="echoid-s26195" xml:space="preserve">circuitiones decuſsium: </s>
              <s xml:id="echoid-s26196" xml:space="preserve">Et ita ex ordines progrediens, ſingula puncta prætereun-
                <lb/>
              do, & </s>
              <s xml:id="echoid-s26197" xml:space="preserve">circuminuoluendo, collocatur in ſingulis decuſſationibus: </s>
              <s xml:id="echoid-s26198" xml:space="preserve">& </s>
              <s xml:id="echoid-s26199" xml:space="preserve">ita peruenit, & </s>
              <s xml:id="echoid-s26200" xml:space="preserve">figitur ad eam
                <lb/>
              lineam, recedens a primo in octauum punctum, in qua prima pars eius eſt fixa. </s>
              <s xml:id="echoid-s26201" xml:space="preserve">Eo modo quanto
                <lb/>
                <note position="left" xlink:label="note-514.01.378-04" xlink:href="note-514.01.378-04a" xml:space="preserve">40</note>
              progreditur oblique per ſpatium, & </s>
              <s xml:id="echoid-s26202" xml:space="preserve">per octo puncta, tantundem in longitudine procedit ad octa=
                <lb/>
              uum punctum. </s>
              <s xml:id="echoid-s26203" xml:space="preserve">Eadem ratione per omne ſpatium longitudinis, & </s>
              <s xml:id="echoid-s26204" xml:space="preserve">rotunditatis ſingulis decuſſationi-
                <lb/>
              bus obliquæ ſixæ regulæ, per octo craſsitudinis diuiſiones inuolutos faciũt canales, & </s>
              <s xml:id="echoid-s26205" xml:space="preserve">iuſtam cochleæ
                <lb/>
              naturalemq́; </s>
              <s xml:id="echoid-s26206" xml:space="preserve">imitationem. </s>
              <s xml:id="echoid-s26207" xml:space="preserve">Ita per id ueſtigium aliæ ſuper alias figuntur unctæ pice liquida, & </s>
              <s xml:id="echoid-s26208" xml:space="preserve">exag-
                <lb/>
              gerantur ad id, ut longitudinis, octaua pars fiat ſumma craſsitudo. </s>
              <s xml:id="echoid-s26209" xml:space="preserve">Supra eas circundantur, & </s>
              <s xml:id="echoid-s26210" xml:space="preserve">figun-
                <lb/>
              tur tabulæ, quæ pertegant eam inuolutionem: </s>
              <s xml:id="echoid-s26211" xml:space="preserve">tunc eæ tabulæ pice ſaturan@ur, & </s>
              <s xml:id="echoid-s26212" xml:space="preserve">laminis ferreis colli-
                <lb/>
              gantur, ut ab aquæ ui ne diſſoluantur. </s>
              <s xml:id="echoid-s26213" xml:space="preserve">Capita tigni ferreis clauis, & </s>
              <s xml:id="echoid-s26214" xml:space="preserve">laminis continentur, ijsq́; </s>
              <s xml:id="echoid-s26215" xml:space="preserve">infigun-
                <lb/>
              tur ſtyli ferrei. </s>
              <s xml:id="echoid-s26216" xml:space="preserve">Dextra autem, & </s>
              <s xml:id="echoid-s26217" xml:space="preserve">ſiniſtra cochleam tigna collocantur, in capitibus utraque parte ha-
                <lb/>
              bentia tranſuerſaria confixa. </s>
              <s xml:id="echoid-s26218" xml:space="preserve">In his foramina ferrea ſunt incluſa, inq́; </s>
              <s xml:id="echoid-s26219" xml:space="preserve">ea inducuntur ſtyli, & </s>
              <s xml:id="echoid-s26220" xml:space="preserve">ita co-
                <lb/>
              chlea hominibus calcantibus facit uerſationes. </s>
              <s xml:id="echoid-s26221" xml:space="preserve">Erectio autem eius ad inclinationem ſic erit collo-
                <lb/>
                <note position="left" xlink:label="note-514.01.378-05" xlink:href="note-514.01.378-05a" xml:space="preserve">50</note>
              canda. </s>
              <s xml:id="echoid-s26222" xml:space="preserve">uti quemadmodum pythagoricum trigonum orthogonium deſcribitur, ſic id habeat reſpon-
                <lb/>
              ſum, ideſt, uti diuidatur longitudo in partes quinque: </s>
              <s xml:id="echoid-s26223" xml:space="preserve">earum trium extollatur caput cochleæ, ita erit
                <lb/>
              a perpendiculo ad imas nares eius ſpatium partes quatuor. </s>
              <s xml:id="echoid-s26224" xml:space="preserve">Qua ratione autem oporteat id eſſe, in ex-
                <lb/>
              tremo libro eius forma deſcripta eſt. </s>
              <s xml:id="echoid-s26225" xml:space="preserve">Quæ de materia fiant organa ad hauriendam aquam, & </s>
              <s xml:id="echoid-s26226" xml:space="preserve">quibus
                <lb/>
              rationibus perficiantur, quibusq́; </s>
              <s xml:id="echoid-s26227" xml:space="preserve">rebus motus recipientia præſtent uerſationibus infinitas utilitates,
                <lb/>
              ut eſſent notiora, quàm apertiſsime potui perſcripſi?</s>
              <s xml:id="echoid-s26228" xml:space="preserve"/>
            </p>
            <p style="it">
              <s xml:id="echoid-s26229" xml:space="preserve">Ex his, quœ ſupra ſunt dicta, & </s>
              <s xml:id="echoid-s26230" xml:space="preserve">ex diagrammatis facile intelligentur, quæ his tribus capitibus a Vitruuio
                <lb/>
              proponuntur intellectis quibuſdam uocabulis. </s>
              <s xml:id="echoid-s26231" xml:space="preserve">Ex nono eſt tympanum, quod eſt hauſtorium organum, ut ait
                <lb/>
              Philander, quod genus baustra Lucretius libro quinto, cum ait.</s>
              <s xml:id="echoid-s26232" xml:space="preserve"/>
            </p>
            <p style="it">
              <s xml:id="echoid-s26233" xml:space="preserve">Vt fluuios uerſare rotas, at que baustra uidemus.</s>
              <s xml:id="echoid-s26234" xml:space="preserve"/>
            </p>
            <note position="left" xml:space="preserve">60</note>
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