Vitruvius, De architectura libri decem, 1567

Table of figures

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[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
[131] a b g. concentricum. d. eius centrũ.t z. eccentricum.h. eius centrum.e z. epicyclus.g. eius centrum.d b. & g z. œquales.d z. parallelogrammum.motus {concentrici a d g. \\ epicycli e g z. \\ eccentrici t b z. uet t dg. \\ iugieccentric. a d t. anguli t b z. & e g z. œqua-les ſunt.angulus a d g. œqualis augulis. {adt. \\ adg. f n b a d o k
[132] b k epicyclus.b. centrum eius.h. uigum.n. Antijugum epicycli.k. punctũ primœ morœ.c. mundi centrum.o. punctũ ſecundæ morœ.h l k. arcus primœ mo rœ.k n o. arcus regreſſus-o b k. arcus directio-nis. L K A H B N O C
[133] Porfioni del cerchio che fannoſe s̃teſſe torno dlaTramòntanaTram ontanaSlmiſifudineTramonſangCarro che uoſge infomoalla Framonlana
[134] a b c d f
[135] A. ſectio parabole.B. vestigium. C. parabole.G. ſectio ellipſis.D. ſectio hyperbole.E. vestigium F. hyperbole. a f a f 1 f f f 1 2 1 1 2 3 2 2 3 4 3 3 4 5 4 4 5 6 C 5 5 6 F 7 A 6 6 8 7 8 7 7 D 8 9 8 8 9 10 11 10 10 11 11 11 11 b 12 g e d b e h d gf g b 6 7 3 1 2 4 6 8 10c g b E a 11 9 7 3 3 1 d 2 4 6 8 10 e ha f 1 2 3 4 5 6 7 8 9 10 11 a b c d 9 8 7 6 3 2 1 f b a H d g 10 9 8 7 6 5 4 3 2 1 ff 1 2 3 4 5 6 7 8 9 10 11 g
[136] m q 0 s k h c b s n L I p q s
[137] Il polo.cqiunot.orizonte c e b a f
[138] l n k mcridl. parte delverno E e h a s i 9 8 7 6 5della jtate 4 3 parte g h f x lacato manaco b r c linca del.piano t
[139] Analemmatis figura.MERIDIAN: S. M. MLSLACITREVM.M.MERIDIAN: .S.OMVERTICAV.M..S.. O. M.ORIZON:W. A.STAB:
[140] 11 ſ x d 11 p k 1 2 1 2 3 4 5f 6 r 11 10 9 8 7 n f m 12 11 10 9 8 7 6 5 1 02 3 4 1g c 1 2 1 2 3 4 5 6 e 11 10 9 8 7 q b o
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          <div xml:id="echoid-div487" type="section" level="2" n="82">
            <p style="it">
              <s xml:id="echoid-s14259" xml:space="preserve">
                <pb o="185" file="514.01.217" n="217" rhead="QVINTVS"/>
              ticen hyperboleon habentia ſonitum ponantur } non accipit neten hiperboleon, ſed unam ex illis byperboleis,
                <lb/>
              idest triten hyperboleon, & </s>
              <s xml:id="echoid-s14260" xml:space="preserve">ita inferius in diatonico genere ſumit paraneten hyperboleon, pro primis in corni-
                <lb/>
              bus extremis. </s>
              <s xml:id="echoid-s14261" xml:space="preserve">nam ſi in omnibus generibus neten hyperboleon ſumeret nullum eſſet inter ea genera diſcrimen,
                <lb/>
              quia omnes termini tetrachordorum ijdem eſſent. </s>
              <s xml:id="echoid-s14262" xml:space="preserve">ſunt enim illi ſonitus ſtabiles, quia ſunt ſymphoniarum ter-
                <lb/>
              mini. </s>
              <s xml:id="echoid-s14263" xml:space="preserve">Nunc ad tertium ordinem.</s>
              <s xml:id="echoid-s14264" xml:space="preserve"/>
            </p>
            <figure number="81">
              <description xml:id="echoid-description50" xml:space="preserve">Diateſſ. Diapente Diat. Diat. Diat.
                <lb/>
              mese
                <lb/>
              Summa regio diatoni
                <lb/>
              media regio chrom.
                <lb/>
              Ima regio bannon
                <lb/>
              proslamua nomenos Lycanos
                <lb/>
              meſon
                <lb/>
              paranete ſymemenõ
                <lb/>
              paranete di ezeugmenõ
                <lb/>
              paranete hyperboleõ
                <lb/>
              parameſe parhypate hypateon parhypate meſon Trite ſynne menon
                <lb/>
              Trite dieze ugmenon
                <lb/>
              Trite hy-perboleon
                <lb/>
              Hypate meſon. Meſe
                <lb/>
              nete ſynne-menon parameſe
                <lb/>
              nete diezeu gmenon nete hyper-boleon.</description>
            </figure>
            <p>
              <s xml:id="echoid-s14265" xml:space="preserve">
                <emph style="sc">In</emph>
              ſumma uero diuiſione, & </s>
              <s xml:id="echoid-s14266" xml:space="preserve">regione cellarum in cornibus primis ad diatonum hyperboleon, fa-
                <lb/>
                <note position="left" xlink:label="note-514.01.217-01" xlink:href="note-514.01.217-01a" xml:space="preserve">50</note>
              bricata uaſa ſonitu ponuntur: </s>
              <s xml:id="echoid-s14267" xml:space="preserve">in ſecundis diateſſaron ad diatonon diezeugmenon: </s>
              <s xml:id="echoid-s14268" xml:space="preserve">tertijs diapente
                <lb/>
              ad diatonon ſynemmenon: </s>
              <s xml:id="echoid-s14269" xml:space="preserve">quartis diateſſaron ad diatonon meſon: </s>
              <s xml:id="echoid-s14270" xml:space="preserve">quintis diateſſaron ad diatonon
                <lb/>
              hypaton: </s>
              <s xml:id="echoid-s14271" xml:space="preserve">ſextis diateſſaron ad proslambanomenon: </s>
              <s xml:id="echoid-s14272" xml:space="preserve">in medio ad meſen, quod ea, & </s>
              <s xml:id="echoid-s14273" xml:space="preserve">ad proslambano-
                <lb/>
              menon diapaſon, & </s>
              <s xml:id="echoid-s14274" xml:space="preserve">diatonon hypaton. </s>
              <s xml:id="echoid-s14275" xml:space="preserve">diapente habet ſymphoniarum communitates. </s>
              <s xml:id="echoid-s14276" xml:space="preserve">Hæc autem
                <lb/>
              ſi quis uoluerit ad perfectum facile perducere, animaduertat in extremo libro diagramma muſica ra-
                <lb/>
              tione deſignatum, quod Ariſtoxenus magno uigore, & </s>
              <s xml:id="echoid-s14277" xml:space="preserve">induſtria, generatim diuiſis modulationibus
                <lb/>
              conſtitutum reliquit: </s>
              <s xml:id="echoid-s14278" xml:space="preserve">de quo ſiquis ratiocinationibus his attenderit, & </s>
              <s xml:id="echoid-s14279" xml:space="preserve">ad naturam uocis, & </s>
              <s xml:id="echoid-s14280" xml:space="preserve">ad au-
                <lb/>
              dientium delectationes facilius ualuerit theatrorum efficere perfectiones.</s>
              <s xml:id="echoid-s14281" xml:space="preserve"/>
            </p>
            <p style="it">
              <s xml:id="echoid-s14282" xml:space="preserve">Et nos infra diagramma poſuimus, ex quo prædicta facile percipiuntur, ſed dictu quidem facilia ſunt, qua
                <lb/>
              ratione autem in opus ducantur, non est omnibus expeditum. </s>
              <s xml:id="echoid-s14283" xml:space="preserve">Solebant antiqui & </s>
              <s xml:id="echoid-s14284" xml:space="preserve">alia uaſa aptare, quibus to-
                <lb/>
                <note position="left" xlink:label="note-514.01.217-02" xlink:href="note-514.01.217-02a" xml:space="preserve">60</note>
              nitrua reddebantur cum opus erat in theatris, de quibus Hero libro automaton.</s>
              <s xml:id="echoid-s14285" xml:space="preserve"/>
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