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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            <p>
              <s xml:id="echoid-s22370" xml:space="preserve">
                <pb o="295" file="514.01.327" n="327" rhead="NONVS."/>
              Fauonio flante, Scorpionibus comparat æ qualem curſum. </s>
              <s xml:id="echoid-s22371" xml:space="preserve">Ita Sol ea ſigna peruagando certis tempo-
                <lb/>
              ribus auget, aut minuit dierum, & </s>
              <s xml:id="echoid-s22372" xml:space="preserve">horarum ſpatia. </s>
              <s xml:id="echoid-s22373" xml:space="preserve">Nunc de cæteris ſyderibus, quæ ſunt dextra, ac ſi-
                <lb/>
              niſtr a Zonam ſignorum Meridiana, Septentrionaliq́; </s>
              <s xml:id="echoid-s22374" xml:space="preserve">parte mundi ſtellis diſpoſita, figurataq́; </s>
              <s xml:id="echoid-s22375" xml:space="preserve">dicam.</s>
              <s xml:id="echoid-s22376" xml:space="preserve"/>
            </p>
            <p style="it">
              <s xml:id="echoid-s22377" xml:space="preserve">Rationem creſcentium, & </s>
              <s xml:id="echoid-s22378" xml:space="preserve">decreſcentium dierum affert Vitr. </s>
              <s xml:id="echoid-s22379" xml:space="preserve">ſed breuiter, ac potius effectum, quàm ratio-
                <lb/>
              nem, quem Sol facit in mundo dierum quantitatis, dum ſignum ex ſigno init. </s>
              <s xml:id="echoid-s22380" xml:space="preserve">ad hoc enim ratio breuis dedu-
                <lb/>
              citur, quod Sol ſupra terram maiores, aut minores arcus diurnos facit. </s>
              <s xml:id="echoid-s22381" xml:space="preserve">Ideo hanc quo que rationem ſolue-
                <lb/>
              mus, rationem vniuerſalem afferentes, nam eo tempore, quo nobis decreſcunt dierum ſpatia, alijs augentur,
                <lb/>
              ideo cauſam uniuerſam debemus amplecti, non eam, quæ nobis citra æquinoctium babitantes tantum inſeruit.
                <lb/>
              </s>
              <s xml:id="echoid-s22382" xml:space="preserve">Dies igitur modis duobus capitur. </s>
              <s xml:id="echoid-s22383" xml:space="preserve">Primum ſpatium, quo Solis circuitus ſemel uniuerſum ambit termino hora-
                <lb/>
                <note position="left" xlink:label="note-514.01.327-01" xlink:href="note-514.01.327-01a" xml:space="preserve">10</note>
              rum quatuor & </s>
              <s xml:id="echoid-s22384" xml:space="preserve">uiginti, atque hæc ordinaria, uulgataq́; </s>
              <s xml:id="echoid-s22385" xml:space="preserve">est diei acceptio, vulgatam dico, quoniam Aſtrorum
                <lb/>
              periti ambitui horarum quatuor & </s>
              <s xml:id="echoid-s22386" xml:space="preserve">uiginti addunt amplius, id ſcilicet, quod Sol eo ſpatio motu contrario per-
                <lb/>
              fecerit. </s>
              <s xml:id="echoid-s22387" xml:space="preserve">Atque bæc prima eſt diei acceptio ab ipſa ferè natura rerum inſtituta, neque mirum ſi eo ſpatio nox
                <lb/>
              includatur, nam ratione uniuerſi Sol ſemper lucet, & </s>
              <s xml:id="echoid-s22388" xml:space="preserve">diem aliquo loco facit. </s>
              <s xml:id="echoid-s22389" xml:space="preserve">Altera diei acceptio est, diem
                <lb/>
              pro eo ſpatio ſumi, quo Sol alicubi ſupra borizontem fertur, priori modo incipit dies a meridie, & </s>
              <s xml:id="echoid-s22390" xml:space="preserve">in meridiem
                <lb/>
              ſequentem finit, quoniam ſingulis terrarum incolis ſuis in regionibus permanentibus quotidie Sol ad eorum
                <lb/>
              meridiem peruenit ad eundem circulum, qui per uertices, & </s>
              <s xml:id="echoid-s22391" xml:space="preserve">cardines defertur, uerticis punctum Zenith uo-
                <lb/>
              cant Barbari. </s>
              <s xml:id="echoid-s22392" xml:space="preserve">Circulum uerò illum noſtri Meridianum appellant, ea de cauſa, quod dum aliquo in eius puncto
                <lb/>
              Sol ſuper terram manet, meridiem facit, ſuus uerò cuiq; </s>
              <s xml:id="echoid-s22393" xml:space="preserve">ſit meridianus uniuſmodi, licet diuerſi ſint meridiani.
                <lb/>
              </s>
              <s xml:id="echoid-s22394" xml:space="preserve">Sed puncta orientis, & </s>
              <s xml:id="echoid-s22395" xml:space="preserve">occidentis Solis immutantur, nam uidemus Solem interim auero ortu, interim a late-
                <lb/>
                <note position="left" xlink:label="note-514.01.327-02" xlink:href="note-514.01.327-02a" xml:space="preserve">20</note>
              ribus conſurgere, occidereq́; </s>
              <s xml:id="echoid-s22396" xml:space="preserve">aliquando ad uerum occaſum, aliquando declinare. </s>
              <s xml:id="echoid-s22397" xml:space="preserve">V t igitur dierum uarietatẽ
                <lb/>
              ſciamus unde ueniat, animaduertendum est Solem non æque quotidie ſupra terram conſurgere, ideoq́; </s>
              <s xml:id="echoid-s22398" xml:space="preserve">euenire
                <lb/>
              diem diei ſpatio æqualinon reſpondere, uerum tamen illud eſt quot gradibus abſcedentiæ ab æquinoctiali oritur
                <lb/>
              Sol, totidem etiam in oppoſita parte decumbit. </s>
              <s xml:id="echoid-s22399" xml:space="preserve">Breuis uerò an longa ſit diei mora ſemper Sol ad ſuum cu-
                <lb/>
              iuſque meridianum circulum peruenit, nec propterea affirmo eodem momento ſingulis eſſe meridiem. </s>
              <s xml:id="echoid-s22400" xml:space="preserve">Verum
                <lb/>
              illud ſtatuo quo quis ad orientem proxime manet, Solem illi citius oriri, & </s>
              <s xml:id="echoid-s22401" xml:space="preserve">ad eius meridianum peruenire.
                <lb/>
              </s>
              <s xml:id="echoid-s22402" xml:space="preserve">Quare fieri poteſt meridiem aliquibus eſſe, & </s>
              <s xml:id="echoid-s22403" xml:space="preserve">eodem tempore alijs oriri Solem, alijs decidere, & </s>
              <s xml:id="echoid-s22404" xml:space="preserve">alijs eſſe in-
                <lb/>
              tempeſtam noctem. </s>
              <s xml:id="echoid-s22405" xml:space="preserve">Quare cum terra ex aliquorum ſententia, ſex mille leucas ambiat, Solis corpus ſingulis
                <lb/>
              horis ſupra terræ, marisq́; </s>
              <s xml:id="echoid-s22406" xml:space="preserve">ambitum leucas facit 262. </s>
              <s xml:id="echoid-s22407" xml:space="preserve">quo fit ut aliqua orbis parte noſcentes diei boram poſ-
                <lb/>
              ſimus etiam a lateribus regionis horam dignoſcere, cognito nobis regionum interuallo ab ortu in occaſum. </s>
              <s xml:id="echoid-s22408" xml:space="preserve">
                <lb/>
                <note position="left" xlink:label="note-514.01.327-03" xlink:href="note-514.01.327-03a" xml:space="preserve">30</note>
              Nunc Solem in Arietis initio collocemus, quod punctum æquinoctium facit, licet Vitr. </s>
              <s xml:id="echoid-s22409" xml:space="preserve">id uelit eſſe in octaua
                <lb/>
              parte, quod quomodo intelligendum ſit, postea dicam. </s>
              <s xml:id="echoid-s22410" xml:space="preserve">incipiat Sol aduerſo, & </s>
              <s xml:id="echoid-s22411" xml:space="preserve">contrario motu per ſigniferi par-
                <lb/>
              tes conſurgere, imaginemur diei principium, & </s>
              <s xml:id="echoid-s22412" xml:space="preserve">finem tunc eſſe, cum in labro horizontis ab ortu & </s>
              <s xml:id="echoid-s22413" xml:space="preserve">ab occaſu
                <lb/>
              Solis centrum fuerit, tunc dico Diem nocte æquari, quoniam Sol dimidium ambitus ſupra terram deſignat.
                <lb/>
              </s>
              <s xml:id="echoid-s22414" xml:space="preserve">Tantundem mor æ infra horizontem ducens, quantum ſuperius per apertas cœli regiones permeauerit. </s>
              <s xml:id="echoid-s22415" xml:space="preserve">Mouea
                <lb/>
              tur die iam peracto contra uniuerſi uerſationem, per ſigna ingrediens, quœ ſunt citra æquinoctialem orbem,
                <lb/>
              quæ ſunt Taurus, Gemini, Cancer, Leo, Virgo. </s>
              <s xml:id="echoid-s22416" xml:space="preserve">a Vitr. </s>
              <s xml:id="echoid-s22417" xml:space="preserve">ſeptentrionalia nuncupata, dico dies quotidie maiores
                <lb/>
              futuros, donec Sol ad Cancri ſignum peruenerit, a quo regrediens, vnde Tropici nomen deductum eſt, per ſe-
                <lb/>
              quentia ſigna permeando, breuiores dies facit. </s>
              <s xml:id="echoid-s22418" xml:space="preserve">Tropici uerò cir culum eum imaginamur eſſe, quem ſi Sol Can-
                <lb/>
              cri ſignum iniens in cœlo percurrens formaret, aperte uideremus vestigijs eius relictis, quemadmodum æqui-
                <lb/>
                <note position="left" xlink:label="note-514.01.327-04" xlink:href="note-514.01.327-04a" xml:space="preserve">40</note>
              noctialem orbem imaginemur eum, quem unius diei ſpatio in prima Arietis, aut Libræ parte Sol in cœlo defor-
                <lb/>
              maret, ſi ſui curſus apertas ſemitas deſcriberet. </s>
              <s xml:id="echoid-s22419" xml:space="preserve">A tropico igitur deſcendit Sol, minores arcus dierum perfi-
                <lb/>
              ciens ſupra terram, quoniam uero reuerſionis tempore parum moueri uidetur, quod ex vmbrarũ mutationibus
                <lb/>
              deprebendimus, ideo tempus illud ſolſtitum noninamus. </s>
              <s xml:id="echoid-s22420" xml:space="preserve">Tunc dies longiſſimns eſt ijs, qui citra æquinoctij or-
                <lb/>
              bem habitant, & </s>
              <s xml:id="echoid-s22421" xml:space="preserve">nox eſt breuiſſima, & </s>
              <s xml:id="echoid-s22422" xml:space="preserve">tanto longior eſt dies, & </s>
              <s xml:id="echoid-s22423" xml:space="preserve">breuior nox, quanto obliquiori ambitu ho-
                <lb/>
              rizon terminatur. </s>
              <s xml:id="echoid-s22424" xml:space="preserve">Nam Sol ijs, qui magis inclinatum habent borizontem, magis conſurgit, & </s>
              <s xml:id="echoid-s22425" xml:space="preserve">ſupra terram
                <lb/>
              diutius moram facit, unde lucis ſpatium maius eſt, quare facile emendatur, quod in Vitr. </s>
              <s xml:id="echoid-s22426" xml:space="preserve">legitur, {ad Cancrũ,
                <lb/>
              qui breuiſſimum tenet cœli ſpatium,} nam legendum est, longiſſimum ratione Solis, qui iniens Cancri ſignum
                <lb/>
              maius iter ſupra horizontem peruagatur. </s>
              <s xml:id="echoid-s22427" xml:space="preserve">a ſolſtitio regrediens Sol ad ſequentia ſigna depreſſiores, & </s>
              <s xml:id="echoid-s22428" xml:space="preserve">minores
                <lb/>
              arcus diurnos efficiens, continuo minores efficit dies, donec perueniens ad Libram ſecundo æ quat dies noctibus
                <lb/>
                <note position="left" xlink:label="note-514.01.327-05" xlink:href="note-514.01.327-05a" xml:space="preserve">50</note>
              unde autumnale æquinoctium fit, deſcendensq́; </s>
              <s xml:id="echoid-s22429" xml:space="preserve">quotidie ad ulteriora ſigna, ſcilicet Scorpionem, Sagittarium,
                <lb/>
              Capricornum, Aquarium, & </s>
              <s xml:id="echoid-s22430" xml:space="preserve">Piſces, quæ ſigna meridiana nuncupantur, uarias efficit dierum mutationes,
                <lb/>
              nam uſque ad initium Capricorni dies breuiores redduntur, cum autem Capricornum Sol init, breuiſſimus dies
                <lb/>
              redditur, & </s>
              <s xml:id="echoid-s22431" xml:space="preserve">propterea dies ille bruma, a breuitate, nominatur. </s>
              <s xml:id="echoid-s22432" xml:space="preserve">Sub Capricorno igitur Sole ſubeunte longio-
                <lb/>
              res noctes redduntur his, qui citra æquinoctium babitant, namijs, qui ultra, terras incolunt, contrarium ac
                <lb/>
              cidit, nam diurni arcus maiores, nocturni minores fiunt ijs, Solq́; </s>
              <s xml:id="echoid-s22433" xml:space="preserve">uerſando ſub ea ſigna eorum borizontem
                <lb/>
              inſuper diutius moratur. </s>
              <s xml:id="echoid-s22434" xml:space="preserve">A Capricorno regrediens, quoniam ibi quoque eſt alius regreſſionis circulus, ſcan-
                <lb/>
              dere magis incipit, & </s>
              <s xml:id="echoid-s22435" xml:space="preserve">diurnos arcus producere, donec æquata nocte diei ad Arietem, a quo moueri cœpit,
                <lb/>
              iterum reuertatur. </s>
              <s xml:id="echoid-s22436" xml:space="preserve">Hæc a Vitr. </s>
              <s xml:id="echoid-s22437" xml:space="preserve">dicta ſunt, in quibus breuiter multa ſcitu digna collegit. </s>
              <s xml:id="echoid-s22438" xml:space="preserve">Nam non ſolum
                <lb/>
              ſignorum ordo, & </s>
              <s xml:id="echoid-s22439" xml:space="preserve">numerus, ſed etiam figurationes declarauit, ut hi qui ſpbæras conſtruunt, ſciant quo ordine
                <lb/>
                <note position="left" xlink:label="note-514.01.327-06" xlink:href="note-514.01.327-06a" xml:space="preserve">60</note>
              & </s>
              <s xml:id="echoid-s22440" xml:space="preserve">quibus modis imagmes collo centur, nam Sol Arietem init a capite, Taurum a cauda. </s>
              <s xml:id="echoid-s22441" xml:space="preserve">& </s>
              <s xml:id="echoid-s22442" xml:space="preserve">reliqua </s>
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