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-div329" type="section" level="2" n="64">
            <p style="it">
              <s xml:id="echoid-s10344" xml:space="preserve">
                <pb o="119" file="514.01.151" n="151" rhead="TERTIVS."/>
              ut non intelligatur ſima. </s>
              <s xml:id="echoid-s10345" xml:space="preserve">Simæ a Græcis epitithidæ dicuntur, in ſummis faſtigiorum coronis imponuntur, a ſimi
                <lb/>
              litudine ſic dicuntur, caprarum enim naſos imitantur, obtuſiores enim, & </s>
              <s xml:id="echoid-s10346" xml:space="preserve">bebetiores formas habent. </s>
              <s xml:id="echoid-s10347" xml:space="preserve">gulas
                <lb/>
              rectas Itali uocant. </s>
              <s xml:id="echoid-s10348" xml:space="preserve">de his infra.</s>
              <s xml:id="echoid-s10349" xml:space="preserve"/>
            </p>
            <p>
              <s xml:id="echoid-s10350" xml:space="preserve">
                <emph style="sc">Tympani</emph>
              autem, quod eſt in faſtigio, altitudo ſic eſt facienda, ut frons coronæ ab extremis cy-
                <lb/>
              matijs tota dimetiatur in partes nouem, & </s>
              <s xml:id="echoid-s10351" xml:space="preserve">ex eius una pars in medio cacumine tympani conſtituatur,
                <lb/>
              dum contra epiſtylia columnarumq́; </s>
              <s xml:id="echoid-s10352" xml:space="preserve">hypotrachelia ad perpendiculum reſpondeat. </s>
              <s xml:id="echoid-s10353" xml:space="preserve">Coronæ, quæ ſu-
                <lb/>
              pra tympanum fiunt æqualiter imis præter ſimas ſunt collocandæ. </s>
              <s xml:id="echoid-s10354" xml:space="preserve">Inſuper coronas ſimæ, quas Græci
                <lb/>
              epitithidas dicunt, faciendæ ſunt altiores octaua parte coronarum altitudinis.</s>
              <s xml:id="echoid-s10355" xml:space="preserve"/>
            </p>
            <p style="it">
              <s xml:id="echoid-s10356" xml:space="preserve">Tympanum ſignificata habet diuerſa, pro ut ſuis quæque locis declarabimus. </s>
              <s xml:id="echoid-s10357" xml:space="preserve">hoc autem loco tympanum
                <lb/>
              & </s>
              <s xml:id="echoid-s10358" xml:space="preserve">triangulare planum faſtigij coronicibus circumcluſum, habet ſummitatem in angulo in medio. </s>
              <s xml:id="echoid-s10359" xml:space="preserve">ibi tam al-
                <lb/>
                <note position="left" xlink:label="note-514.01.151-01" xlink:href="note-514.01.151-01a" xml:space="preserve">10</note>
              tum eſt, quam una exnouem partibus, ex quibus conſtat illud ſpatium, quod eſt ab uno ad aliud extremum
                <lb/>
              cymatij, quod est in corona. </s>
              <s xml:id="echoid-s10360" xml:space="preserve">Ita enim Vitr. </s>
              <s xml:id="echoid-s10361" xml:space="preserve">ſtatuit. </s>
              <s xml:id="echoid-s10362" xml:space="preserve">ſed preſſior aliquanto bæc forma deprehenſa eſt, quare al-
                <lb/>
              tiorem faciendam non dubito uſque ad octauam partem. </s>
              <s xml:id="echoid-s10363" xml:space="preserve">Planum tympani ut in ſolido quieſcat, contra epiſty-
                <lb/>
              lia, columnarumq́; </s>
              <s xml:id="echoid-s10364" xml:space="preserve">hypotrachelia ad perpendiculum reſpondere debet, ita ut ſi demittatur plumbum a plano,
                <lb/>
              tangat trabem, deinde bypotrachelium columnæ. </s>
              <s xml:id="echoid-s10365" xml:space="preserve">ſupra tympanum coronæ ſunt, quæ tym
                <unsure/>
              panum circumcludu
                <unsure/>
              t.
                <lb/>
              </s>
              <s xml:id="echoid-s10366" xml:space="preserve">Earum ſymmetria a coronis imis ſumenda, æqualiter enim imis collocandæ ſunt, ſupra quas ſima est altior par-
                <lb/>
              te octaua altitudinis coronæ. </s>
              <s xml:id="echoid-s10367" xml:space="preserve">Sunt qui & </s>
              <s xml:id="echoid-s10368" xml:space="preserve">denticulum in faſtigio ponunt, in qua re obſeruandum est illud, ut
                <lb/>
              ad perpendiculum reſpondeat: </s>
              <s xml:id="echoid-s10369" xml:space="preserve">deorſum enim ſpectare debet, non autem cuneorum modo ad centrum me-
                <lb/>
              dium reſpondere.</s>
              <s xml:id="echoid-s10370" xml:space="preserve"/>
            </p>
            <note position="left" xml:space="preserve">20</note>
            <p>
              <s xml:id="echoid-s10371" xml:space="preserve">
                <emph style="sc">Acroteria</emph>
              angularia tarm alta, quantum eſt tympanum medium, mediana altiora octaua par-
                <lb/>
              te quàm angularia.</s>
              <s xml:id="echoid-s10372" xml:space="preserve"/>
            </p>
            <p style="it">
              <s xml:id="echoid-s10373" xml:space="preserve">Acroteria pilæ ſunt ſupra tectum, duæ a lateribus, una media, ſupra quas figuræ, imagunculæ, currus, & </s>
              <s xml:id="echoid-s10374" xml:space="preserve">
                <lb/>
              alia huiuſmodi ad ornatum ponebantur. </s>
              <s xml:id="echoid-s10375" xml:space="preserve">habebant hæ pilæ quadras, lyſis, truncos, & </s>
              <s xml:id="echoid-s10376" xml:space="preserve">alia quæ ſtylobatæ. </s>
              <s xml:id="echoid-s10377" xml:space="preserve">Si-
                <lb/>
              tus in quo ponuntur, efficit, ut acroteria dicerentur, quaſi ſummæ pilæ: </s>
              <s xml:id="echoid-s10378" xml:space="preserve">ſicut ſtylobatæ a ſitu dictæ ſunt. </s>
              <s xml:id="echoid-s10379" xml:space="preserve">An-
                <lb/>
              gularia acroteria tam alta eſſe debent, quàm tympanum medium: </s>
              <s xml:id="echoid-s10380" xml:space="preserve">deſinant ac moriantur ( ut ita dicam) in
                <lb/>
              tecto, reſpondeant directe eis lineis, quæ ab columnis ſurſum ducuntur. </s>
              <s xml:id="echoid-s10381" xml:space="preserve">Medianum Acroterium octaua par-
                <lb/>
              te altius, quàm angularia ſit.</s>
              <s xml:id="echoid-s10382" xml:space="preserve"/>
            </p>
            <p>
              <s xml:id="echoid-s10383" xml:space="preserve">
                <emph style="sc">Membra</emph>
              omnia, quæ ſupra capitula columnarum ſunt futura, ideſt epiſtylia, zophori, coronæ,
                <lb/>
              tympana, faſtigia, acroteria inclinanda ſunt in frontis ſuæ cuiuſque altitudinis parte duodecima, ideo
                <lb/>
                <note position="left" xlink:label="note-514.01.151-03" xlink:href="note-514.01.151-03a" xml:space="preserve">30</note>
              quod cum ſteterimus contra frontes, ab oculo lineæ duę ſi extenſę fuerint, & </s>
              <s xml:id="echoid-s10384" xml:space="preserve">una tetigeritimam ope-
                <lb/>
              ris partem, altera ſummam, quæ ſummam tetigerit, longior fiet. </s>
              <s xml:id="echoid-s10385" xml:space="preserve">Ita quo longior uiſus lineæ in ſupe-
                <lb/>
              riorem partem procedit, reſupinatam facit eius ſpeciem, cum autem ( uti ſupra ſcriptum eſt ) incli-
                <lb/>
              nata fuerint, tunc in aſpectu uidebuntur eſſe ad perpendiculum, & </s>
              <s xml:id="echoid-s10386" xml:space="preserve">normam.</s>
              <s xml:id="echoid-s10387" xml:space="preserve"/>
            </p>
            <p style="it">
              <s xml:id="echoid-s10388" xml:space="preserve">Obſeruandum est non tantum proportioni, & </s>
              <s xml:id="echoid-s10389" xml:space="preserve">ſymmetriæ, quantum aſpectui, & </s>
              <s xml:id="echoid-s10390" xml:space="preserve">uenuſtati ſatisfaciendum
                <lb/>
              eſſe: </s>
              <s xml:id="echoid-s10391" xml:space="preserve">quare in omnibus illud præceptum eſt a Vitr. </s>
              <s xml:id="echoid-s10392" xml:space="preserve">ut oculus ſuas habeat partes. </s>
              <s xml:id="echoid-s10393" xml:space="preserve">ex ratione igitur optices pul-
                <lb/>
              cherrimum præceptum nobis proponit, uult enim ſingula membra propendere in parte eorum ſumm.</s>
              <s xml:id="echoid-s10394" xml:space="preserve">i, duode-
                <lb/>
              cimam partem ſuæ cuiuſque altitudinis. </s>
              <s xml:id="echoid-s10395" xml:space="preserve">hac de cauſa trabis planum ſuperius reſpondere imo ſcapo, & </s>
              <s xml:id="echoid-s10396" xml:space="preserve">infe-
                <lb/>
              rius ſummo præcepit paulo ante. </s>
              <s xml:id="echoid-s10397" xml:space="preserve">ratio ab optice deducta. </s>
              <s xml:id="echoid-s10398" xml:space="preserve">V olunt Mathematici radios ab oculis recta duci,
                <lb/>
              & </s>
              <s xml:id="echoid-s10399" xml:space="preserve">inter eos certum eſſe interuallum, & </s>
              <s xml:id="echoid-s10400" xml:space="preserve">figuram ſub ipſis in coni modum eſſe, cuius acies in oculo, baſis autem
                <lb/>
                <note position="left" xlink:label="note-514.01.151-04" xlink:href="note-514.01.151-04a" xml:space="preserve">40</note>
              circa rem uiſam. </s>
              <s xml:id="echoid-s10401" xml:space="preserve">his poſitis, eueniet angulos interdum maiores, interdum fore minores. </s>
              <s xml:id="echoid-s10402" xml:space="preserve">Eadem igitur res
                <lb/>
              oculo proxima efficiet angulum maiorem, & </s>
              <s xml:id="echoid-s10403" xml:space="preserve">diſtans minorem. </s>
              <s xml:id="echoid-s10404" xml:space="preserve">ſimilis ratio altitudinis radiorum, item & </s>
              <s xml:id="echoid-s10405" xml:space="preserve">ſitus,
                <lb/>
                <figure xlink:label="fig-514.01.151-01" xlink:href="fig-514.01.151-01a" number="36">
                  <variables xml:id="echoid-variables22" xml:space="preserve">e b d f c a</variables>
                </figure>
              ut dextrum, & </s>
              <s xml:id="echoid-s10406" xml:space="preserve">ſinistrum, & </s>
              <s xml:id="echoid-s10407" xml:space="preserve">æqualitatis, quo fit, ut quæ ſub ma
                <lb/>
              iori angulo maiora uidentur, quæ ſub minori minora appareant.
                <lb/>
              </s>
              <s xml:id="echoid-s10408" xml:space="preserve">ratio eadem de alijs. </s>
              <s xml:id="echoid-s10409" xml:space="preserve">Quare cum Vitru. </s>
              <s xml:id="echoid-s10410" xml:space="preserve">conſideraſſet, quod ſi
                <lb/>
              membra plana, & </s>
              <s xml:id="echoid-s10411" xml:space="preserve">recta eßent, ſuperior eorum pars remotior,
                <lb/>
              inferior uero proxima uideretur, quoniam illa ſub longiori,
                <lb/>
              hæc ſub breuiori linea appareret, & </s>
              <s xml:id="echoid-s10412" xml:space="preserve">inde ſpecies ſupino, & </s>
              <s xml:id="echoid-s10413" xml:space="preserve">quaſi
                <lb/>
              retro cedere uideretur. </s>
              <s xml:id="echoid-s10414" xml:space="preserve">Ideo membra omnia, quæ ſupra colum-
                <lb/>
              nas collocantur propendere duodecimam partem ſuæ altitudi-
                <lb/>
              nis, ex parte ſuperiori, præcepit. </s>
              <s xml:id="echoid-s10415" xml:space="preserve">nam radius uicinior, angulus
                <lb/>
              maior, membrum rectius uidebitur. </s>
              <s xml:id="echoid-s10416" xml:space="preserve">quod ſubſcripta deſcriptio
                <lb/>
              oſtendit. </s>
              <s xml:id="echoid-s10417" xml:space="preserve">Vbi oculus a, linea a c. </s>
              <s xml:id="echoid-s10418" xml:space="preserve">radius est ab oculo ad
                <lb/>
              partem inferiorem alicuius membri, ſit illud e f. </s>
              <s xml:id="echoid-s10419" xml:space="preserve">c b. </s>
              <s xml:id="echoid-s10420" xml:space="preserve">linea
                <lb/>
              uero, a@b. </s>
              <s xml:id="echoid-s10421" xml:space="preserve">& </s>
              <s xml:id="echoid-s10422" xml:space="preserve">radius ab oculo ad partem ſuperiorem, qui
                <unsure/>
              lon-
                <lb/>
              gior eſt radio a c. </s>
              <s xml:id="echoid-s10423" xml:space="preserve">quare planum b c, uidebitur retro cedere,
                <lb/>
              & </s>
              <s xml:id="echoid-s10424" xml:space="preserve">reſupinatam ſpeciem præſeferet. </s>
              <s xml:id="echoid-s10425" xml:space="preserve">quod ſi propendeat a puncto
                <lb/>
              b. </s>
              <s xml:id="echoid-s10426" xml:space="preserve">ad d. </s>
              <s xml:id="echoid-s10427" xml:space="preserve">linea d a. </s>
              <s xml:id="echoid-s10428" xml:space="preserve">minor erit, quàm linea b a. </s>
              <s xml:id="echoid-s10429" xml:space="preserve">minus igi-
                <lb/>
              tur ſupina apparebit ſpecies membriiam dicti, hoc autem maxi-
                <lb/>
              me animaduertendum, ubi altæ ſunt ædes, membraq́; </s>
              <s xml:id="echoid-s10430" xml:space="preserve">augentur, ut ſymmetriæ ſeruentur.</s>
              <s xml:id="echoid-s10431" xml:space="preserve"/>
            </p>
            <p>
              <s xml:id="echoid-s10432" xml:space="preserve">
                <emph style="sc">Colvmnarvm</emph>
              ſtriges faciendæ ſunt 24. </s>
              <s xml:id="echoid-s10433" xml:space="preserve">ita excauatæ uti norma in cauo ſtrigis cum fuerit con-
                <lb/>
                <note position="left" xlink:label="note-514.01.151-05" xlink:href="note-514.01.151-05a" xml:space="preserve">60</note>
              </s>
            </p>
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