Vitruvius, De architectura libri decem, 1567

Table of figures

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[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
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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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