Vitruvius, M. Vitruvii ... de architectura libri decem, ad Augustum Caesarem accuratiß conscripti: & nunc primum in Germania qua potuit diligentia excusi, atq[ue] hinc inde schematibus non iniucundis exornati

Table of contents

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[171.] DE AQVAE INVENTIONIBVS. CAPVT. I.
[172.] PROCVMBENTIS IN DENTES VT A terreno uapore aquæ ſubſidentia inueniatur figura.
[173.] DE AQVA HYMBRIVM. CAP. II.
[174.] DE AQVIS CALIDIS, ET QVAS HABEANT uires à diuerſis metallis prodeuntes, & de uariorum fonti um, fluminum, lacuumq; natura. CAPVT III.
[175.] DE PROPRIETATE ITEM NONNVLLO. rumlocorum & fontium. CAP. IIII.
[176.] DE AQVARVM EXPERIMENTIS. CAPVT. V.
[177.] DE PERDVCTIONIBVS ET LIBRATIO nibus aquarum, & inſtrumentis adhunc uſum. CAPVT VI.
[178.] QVOT MODIS DVCANTVR AQVAE. CAPVT VII.
[179.] AQVAE DVCTIONVM DIVERSIMODA AF-figuratio, ut agreſtium fructuum affluentium ubertatem, non minus tutionem mœnium, ſuplementum{qúe} ne-ceſſarium in ciuitatibus habeatur.
[180.] DE ARCHITECTVRA. LIBER NONVS.
[181.] PLATONIS INVENTVM DE AGRO metiendo. CAPTT I.
[182.] DE NORMA, PYTHAGORICVM INVENTVM ex orthogonij trigoni deformatione. CAP. II.
[183.] QVOMODO PORTIO ARGENTI AVRO @@ ſta, in integro opere deprchendi diſcerni{qúe} poßit. CAPVT III.
[184.] ARCHIMEDIS MIRVM INVENTVM QVO. modo deprehendit aurum eſſe mixtum argento.
[185.] DE GNOMONICIS RATIONIBVS EX RADI-is ſolis per umbraminuentis, & mundo at planetis. CAPVT IIII.
[186.] DE SOLIS CVRSV PER DVODECIM ſigna. CAP. V.
[187.] DE SYDERIBVS QVAE SVNT A ZODIA co adſeptentrionem. CAP. VI.
[188.] DE SYDERIBVS QVAE SVNT A ZODIA-co ad meridiem. CAP. VII.
[189.] DE HOROLOGIORVM RATIONIBVS ET umbris gnomonum æquinoctiali tempore, Romæ, & nonnullis alijs locis. CAP. VIII.
[190.] DE HOROLOGIORVM RATIONE, ET VSV, at eorum inuentione, & quibus inuentoribus. CAPVT IX.
[191.] DE ARCHITECT VRA, LIBER DECIMVS.
[192.] DE MACHINA QVID SIT, ET EIVS AB OR gano differentia, origine & neceßitate. CAPVT I.
[193.] DE AEDIVM SACRARVM PVBLICARVM-que operum machinationibus tractorijs. CAPVT II.
[194.] DE DIVERSIS APPELLATIONIBVS MA chinarum, & quaratione erigantur. CAP. III.
[195.] SIMILIS SVPERIORI MACHINA, CVI CO. loßicoter atutius committi poſſunt, immutata dumtaxat ſu-culain tympanum. CAP. IIII.
[196.] ALIARVM MACHINARVM PRO GRA uiorum onerum eleuationibus & remotionibus figura,
[197.] ALIVD MACHINAE TRACTORIAE genus. CAP. V.
[198.] MACHINARVM TECTORIARVM AD ONE@ rum eleuationem, tum quibus mouentur celeriter & expeditè, figuræ.
[199.] INGENIOSA CTESIPHONTIS RATIO AD grauia onera ducenda. CAP. VI.
[200.] DE INVENTIONE LAPICIDINAE, QVA templum Dianæ Epheſiæ conſtructum est. CAPVT VII.
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180126M. VITR VVII centro profuſa ſe cir cumagens, tactu{qúe} feriens ſingulorum uaſorum ca-
ua
, excitauerit auctam claritatem, &
concentu conuenientem ſibiconſo-
nantiam
.
Sin autem amplior erit magnitudo theatri, tunc altitudo diuida
tur
in partes quatuor, utitres efficiantur regiones cellarum tranſuerſe
deſignatæ
, una harmoniæ, altera chromatos, tertia diatoni.
Et ab imo
quæ
erit prima, ea ex harmonia collocetur, ita uti in minore theatro ſu-
pra
ſcriptũ est.
In mediana autem parte prima, in extremis cornibus ad
chromaticen
, hyperboleon habentia ſonitum ponantur:
in ſecundis ab his
diateſſaron
, ad chromaticen diezeugmenõ:
in ter tijs diateſſaron, ad chro
maticen
ſynemmenon, in quartis diateſſaron ad chromaticẽ meſon, quin-
tis
diateſſaron ad chromaticen hypaton, ſextis ad parameſen, quòd et in
chromaticen
hyperboleon, diapente, &
ad chromaticen meſon, diateſſa
ron
, habeant conſonantiæ communitatem.
In medio nihil est collocandũ,
ideo
quòd ſonituum nulla alia qualitas in chromatico genere ſymphoniæ
conſonantiam
poteſt habere.
In ſumma uero diuiſione, & regione cella-
rum
, in cornibus primis ad diatonon hyperboleon, fabricata uaſa ſonitu
ponantur
, in ſecundis diateſſaron ad diatonon diezeugmenon, tertijs dia
teſſaron
, ad diatonon ſynemmenon, quartis diateſſaron, ad diatonon me-
ſon
, quintis diateſſaron, ad diatonon hypatõ, ſextis diateſſaron ad proſ-
lambanomenon
:
in medio ad meſen, quod ea, & ad proslambanomenõ
diapaſon
, &
diatonon hypaton, diapente habet ſymphoniarum commu-
nitates
.
Hæc autem ſi quis uoluerit ad perfectũ facile perducere, animad-
uertat
in extremo libro diagramma muſica ratione deſignatum, quod
Ariſtoxenus
magno uigore &
induſtria, generatim diuiſis modulationi-
bus
conſtitutum reliquit, de quo ſi quis ratiocinationibus his attenderit,
&
ad natur am uocis, & ad audientium delectationes, facilius ualuerit
theatrorum
efficere perfectiones.

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