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version 1.9, 2003/11/03 13:43:24

version 1.10, 2003/11/20 19:21:46

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<body>

<s id="N1001D">LIBER PRIMUS</s>

Line 40

publicaeque rei constitutione habere sed etiam de opportunitate publicorum aedificiorum, ut civitas per te non

solum provinciis esset aucta, verum etiam ut maiestas

imperii publicorum aedificiorum egregias haberet aucto

ritates, non putavi praetermittendum, quin primo quoque

tempore de his rebus ea tibi ederem, ideo quod primum

parenti tuo [de eo] fueram notus et eius virtutis studiosus. </s>

Line 94

</subchap2>

Itaque architecti, qui sine litteris contenderant, ut manibus

essent exercitati, non potuerunt efficere, ut haberent pro

Line 109

</subchap2>

Cum in omnibus enim rebus, tum maxime etiam in architectura haec duo insunt: quod significatur

et quod significat. </s>

Line 119

etiam ingeniosum oportet esse et ad disciplinam docilem;

neque enim ingenium sine disciplina aut disciplina sine

ingenio perfectum artificem potest efficere. </s>

<s id="N10075">et ut litteratus sit, peritus graphidos, eruditus geometria, historias

complures noverit, philosophos diligenter audierit, musicam scierit, medicinae non sit ignarus, responsa iurisconsultorum noverit, astrologiam caelique rationes cognitas habeat.

</s>

Line 140

et linearum directiones. </s>

<s id="N10087">item per opticen in aedificiis ab

certis regionibus caeli lumina recte ducuntur. </s>

<s id="N1008A">per arithmeticen vero sumptus aedificiorum consummantur, mensurarum rationes explicantur, difficilesque symmetriarum

quaestiones geometricis rationibus et methodis inveniuntur.

</s>

Line 187

</subchap2>

Philosophia vero perficit architectum animo magno et uti non sit adrogans,

sed potius facilis, aequus et fidelis, sine avaritia, quod est

Line 211

</subchap2>

Musicen autem sciat oportet, uti canonicam rationem et mathematicam notam

habeat, praeterea ballistarum, catapultarum, scorpionum

Line 245

Disciplinam vero medicinae novisse oportet propter inclinationem caeli, quae Graeci <foreign lang="greek">kli/mata</foreign>

dicunt, et aeris et locorum, qui sunt salubres aut pestilentes, aquarumque usus; sine his enim rationibus nulla

salubris habitatio fieri potest. </s>

<s id="N100EF">iura quoque nota habeat

oportet, ea quae necessaria sunt aedificiis <locis> communibus parietum ad ambitum, stillicidiorum et cloacarum, luminum, item aquarum ductiones et cetera, quae eiusmodi sunt. </s>

<s id="N100F2">nota oportet sint architectis, uti ante

Line 270

</subchap2>

At fortasse mirum videbitur inperitis, hominis posse naturam tantum numerum doctrinarum perdiscere et memoria continere. </s>

<s id="N10104">cum autem animadverterint omnes disciplinas inter se coniunctionem

Line 329

</subchap2>

Similiter cum astrologis et musicis est disputatio communis de sympathia

stellarum et symphoniarum in quadratis et trigonis diatessaron et diapente, a geometris [divisus] qui graece

<foreign lang="greek">lo/gos o)ptiko/s</foreign> appellatur; ceterisque omnibus doctrinis

multae res vel omnes communes sunt dumtaxat ad disputandum. </s>

<s id="N10134">operum vero ingressus, qui manu aut tractationibus ad elegantiam perducuntur, ipsorum sunt, qui proprie una arte ad faciendum sunt instituti. </s>

<s id="N10137">ergo satis

abunde videtur fecisse, qui ex singulis doctrinis partes et

rationes earum mediocriter habet notas, eas quae necessariae

Line 369

artis grammaticae fuerit explicatum, ignoscatur. </s>

<s id="N1014E">namque

non uti summus philosophus nec rhetor disertus nec grammaticus summis rationibus artis exercitatus, sed ut architectus his litteris imbutus haec nisus sum scribere. </s>

<s id="N10151">de

artis vero potestate quaeque insunt in ea ratiocinationes

polliceor, uti spero, his voluminibus non modo aedificantibus

Line 385

Architectura autem constat ex ordinatione, quae graece

<foreign lang="greek">ta/cis</foreign> dicitur,

et ex dispositione, hanc autem Graeci <foreign lang="greek">dia/qesin</foreign> vocitant, et eurythmia et symmetria et decore et

distributione, quae graece <foreign lang="greek">oi)konomi/a</foreign> dicitur.

</s>

Line 403

</s>

Dispositio autem est rerum apta conlocatio elegansque

compositionibus effectus operis cum qualitate. </s>

<s id="N1017C">species dispositionis, quae graece dicuntur <foreign lang="greek">i)de/ai</foreign>, sunt hae: ichnographia, orthographia, scaenographia. </s>

<s id="N10183">ichnographia est

circini regulaeque modice continens usus, e qua capiuntur formarum in solis arearum descriptiones. </s>

<s id="N10186">orthographia autem est erecta frontis imago modiceque picta

rationibus operis futuri figura. </s>

<s id="N10189">item scaenographia est

Line 430

</subchap2>

Eurythmia est venusta species commodusque in compositionibus membrorum aspectus. </s>

<pb ed="1567" pagenum="21"/><s id="N1019E">haec efficitur, cum membra operis convenientis sunt altitudinis ad latitudinem, latitudinis ad longitudinem, et ad summam omnia respondent

<pb xlink:href="048/01/020.jpg" ed="1567" pagenum="21"/><s id="N1019E">haec efficitur, cum membra operis convenientis sunt altitudinis ad latitudinem, latitudinis ad longitudinem, et ad summam omnia respondent

suae symmetriae.

</s>

Line 455

</subchap2>

Decor autem est emendatus operis aspectus probatis

rebus compositi cum auctoritate. </s>

Line 481

</subchap2>

Ad consuetudinem autem decor sic exprimitur,

cum aedificiis interioribus magnificis item vestibula convenientia et elegantia erunt facta. </s>

Line 540

Partes ipsius architecturae sunt tres: aedificatio, gnomonice, machinatio. </s>

<s id="N1020C">aedificatio autem divisa est bipertito,

Line 573

In ipsis vero moenibus ea erunt principia. </s>

<s id="N10225">primum electio loci saluberrimi. </s>

Line 618

<s id="N10248">ut etiam in ferro animadvertimus, quod,

quamvis natura sit durum, in fornacibus ab ignis vapore

percalefa

ctum ita mollescit, uti in omne genus formae faciliter fabricetur; et idem, cum molle et candens refrigeretur tinctum frigida, redurescit et restituitur in antiquam proprietatem.

</s>

Line 728

lienes. </s>

<s id="N102A7">ita eam herbam colligendo curant lienosos hoc

medicamento, quod etiam Cretenses <foreign lang="greek">a)/splhnon</foreign> vocitant. </s>

<s id="N102AE">ex eo licet scire cibo atque aqua proprietates locorum

naturaliter pestilentes aut salubres esse.

</s>

Line 778

Cum ergo his rationibus [erit] salubritatis [moenium

conlocandorum explicatio] regiones[que] electae fuerint

Line 787

marinae subvectionis habuerit ad moenia comportationes

expeditas, tunc turrium murorumque fundamenta sic sunt

facienda,

uti fodiantur, si queat inveniri, ad solidum et in

solido, quantum ex amplitudine operis pro ratione videatur, crassitudine ampliore quam parietum, qui supra terram sunt futuri, et ea impleantur quam solidissima structura.

</s>

Line 795

</subchap2>

Item turres sunt proiciendae in exteriorem partem,

uti, cum ad murum hostis impetu velit adpropinquare, a

Line 838

sit alia ab alia sagittae missionis, uti, si qua oppugnetur,

tum a turribus, quae erunt dextra sinistra, scorpionibus

reliquisque telorum missionibus hostes reiciantur. </s>

<s id="N102FE">etiamque contra interiores <partes> turrium dividendus est murus

intervallis tam magnis, quam erunt turres, ut itinera sint

interioribus partibus turrium contignata, neque ea ferro

Line 855

machinae celerius dissipant, quod angulos arietes tundendo

frangunt, in rotundationibus autem uti cuneos ad centrum

adigendo laedere non possunt. </s>

<s id="N10309">item munitiones muri turriumque aggeribus coniunctae maxime sunt tutiores, quod

neque arietes neque suffossiones neque machinae ceterae eis valent nocere.

</s>

Line 897

crudus, his erit utendum. </s>

<s id="N10327">non enim, uti Babylone abundantes liquido bitumine pro calce et harena ex cocto latere

factum habent murum, sic item possunt omnes

regiones

seu locorum proprietates habere tantas eiusdem generis

utilitates, uti ex his comparationibus ad aeternitatem perfectus habeatur sine vitio murus.

Line 908

Moenibus circumdatis sequuntur intra murum arearum

divisiones platearumque et angiportûm ad caeli regionem

Line 922

si calidi, vitiant; si umidi, nocent. </s>

<s id="N10337">quare vitandum videtur

hoc vitium et avertendum, ne fiat quod in multis civitatibus usu solet venire. </s>

<s id="N1033A">quemadmodum in insula Lesbo

oppidum Mytilenae magnificenter est aedificatum et eleganter, sed positum non prudenter. </s>

<s id="N1033D">in qua civitate auster

Line 962

curantur in regionibus, quae sunt supra scriptae, haec:

gravitudo arteriace, tussis, pleuritis, pthisis, sanguinis

eiectio et cetera, quae non detractionibus sed adiectionibus cu

<pb ed="1567" pagenum="40"/>rantur. </s>

<pb xlink:href="048/01/039.jpg" ed="1567" pagenum="40"/>rantur. </s>

<s id="N1035D">haec ideo difficulter medicantur, primum

quod ex frigoribus concipiuntur, deinde quod defatigatis

morbo viribus eorum aer agitatus est <molestus; namque

Line 976

Nonnullis placuit esse ventos quattuor: ab oriente aequinoctiali solanum, a meridie austrum, ab occidente aequinoctiali favonium, ab septentrionali septentrionem. </s>

<s id="N10369">sed

qui diligentius perquisierunt, tradiderunt eos esse octo,

maxime quidem Andronicus Cyrrestes, qui etiam exemplum conlocavit Athenis turrem marmoream octagonon

Line 1023

Ex his duobus signis circino decusatim describendum, et per decusationem et medium centrum linea perducenda ad extremum,

ut habeatur meridiana et septentrionalis regio. </s>

<s id="N10390">tum postea

sumenda est sexta decima pars circinationis lineae totius

rotundationis, centrumque conlocandum in meridiana

Line 1068

</subchap2>

Itaque dextra et sinistra austrum leuconotus et

altanus flare solet, <circa> africum libonotus et subvesperus, circa favonium argestes et certis temporibus etesiae,

Line 1128

Tunc

circino totius rotundationis sumenda est pars <emph type="smallcaps"/>XVI<emph.end type="italics"/>, circinique centrum ponendum est in meridiana linea, qua tangit rotundationem, ubi est littera <emph type="smallcaps"/>E<emph.end type="italics"/>, et signandum dextra

sinistra, ubi erunt litterae <emph type="smallcaps"/>G H<emph.end type="italics"/>. item in septentrionali parte

centrum circini ponendum in rotundationis et septentrionali

Line 1212

<s id="N10519">LIBER SECUNDUS</s>

Line 1273

<s id="N1055B">ita

Dinocrates a facie dignitateque corporis commendatus ad

eam nobilitatem pervenit. </s>

<s id="N1055E">mihi autem, imperator, staturam

non tribuit natura, faciem deformavit aetas, valetudo detraxit vires. </s>

<s id="N10561">itaque quoniam ab his praesidiis sum desertus,

Line 1302

Homines vetere more ut ferae in silvis et speluncis et

nemoribus nascebantur ciboque agresti vescendo vitam exigebant. </s>

Line 1357

instituta esse possumus sic animadvertere, quod ad hunc

diem nationibus exteris ex his rebus aedificia constituuntur,

uti Gallia, Hispania, Lu

sitania, Aquitania scandulis robusteis aut stramentis. </s>

<s id="N105A0">apud nationem Colchorum in Ponto

propter silvarum abundantiam arboribus perpetuis planis

Line 1400

</subchap2>

Ita his signis de antiquis inventionibus aedificiorum, sic ea fuisse ratiocinantes,

possumus iudicare.

Line 1447

<s id="N105E6">cum corpus architecturae

scriberem, primo volumine putavi, quibus eruditionibus et

disciplinis esset ornata, <oportere> exponere finireque terminationibus

eius species et, e quibus rebus esset nata,

dicere. </s>

<s id="N105E9">ergo in primo de artis officio itemque, quid oporteat esse in architecto, ibi pronuntiavi. </s>

Line 1510

Itaque primum de lateribus, qua de terra duci eos oporteat, dicam. </s>

<s id="N10620">non enim de harenoso neque calculoso luto

Line 1524

</subchap2>

Ducendi autem sunt per vernum tempus et autumnale, ut uno tenore siccescant. </s>

<s id="N1062C">qui

Line 1577

</s>

Est autem in Hispania ulteriore civitas Maxilua et

Callet et in Asia Pitane, ubi lateres, cum sunt ducti et

Line 1645

De harenae copiis cum habeatur explicatum, tum etiam

de calce diligentia est adhibenda, uti de albo saxo aut

Line 1665

</subchap2>

Quare autem cum recipit aquam et harenam

calx, tunc confirmat structuram, haec esse causa videtur,

Line 1700

Est etiam genus pulveris, quod efficit naturaliter res

admirandas. </s>

Line 1728

Ardores autem esse in his locis etiam haec res potest indicare, quod in montibus Cumanorum Baianis sunt loca

sudationibus excavata, in quibus vapor fervidus ab imo

nascens ignis vehe

mentia perforat eam terram per eamque manando in his locis oritur et ita sudationum egregias

efficit utilitates. </s>

<s id="N106F2">non minus etiam memorantur antiquitus

Line 1799

relinquit; quo penitus ab imo vehementia vaporis adusto,

nonnullis locis procreatur id genus harenae, quod dicitur

carbunculus. </s>

<s id="N1072A">itaque uti Campania exusta terra cinis, sic

in Etruria excocta materia efficitur carbunculus. </s>

<s id="N1072D">utraque

Line 1894

Structurarum genera sunt haec: reticulatum, quo nunc

omnes utuntur, et antiquum, quod incertum dicitur. </s>

Line 1909

</subchap2>

Utraque autem ex minutissimis sunt instruenda, uti materia ex calce et harena

crebriter parietes satiati diutius contineantur. </s>

Line 1954

enim utuntur e molli caemento structura polita, sed cum

discesserunt a quadrato, ponunt de silice seu lapide duro

ordinaria, et ita uti latericia struen

tes alligant eorum

alternis coriis coagmenta, et sic maxime ad aeternitatem

firmas perficiunt virtutes. </s>

Line 2009

sumuntur, non aestimant eos quanti facti fuerint, sed cum

ex tabulis inveniunt eorum locationes, pretia praeteritorum

annorum singulorum deducunt

octogesimas et ita—ex reliqua summa <pro rata> parte reddi pro his parietibus—

sententiam pronuntiant eos non posse plus quam annos <emph type="smallcaps"/>LXXX<emph.end type="italics"/> durare.

</s>

Line 2054

<s id="N1080C">cum esset enim natus Mylasis et animadvertisset Halicarnasso locum naturaliter

esse munitum, idoneum portum emporiumque utile, ibi

sibi domum constituit. </s>

<s id="N1080F">is autem locus est theatri curvaturae similis. </s>

<s id="N10812">itaque in imo secundum portum forum

est constitutum; per mediam autem altitudinis curvaturam

Line 2073

</subchap2>

Is autem falsa opinione putatur venerio morbo inplicare

eos, qui ex eo biberint. </s>

Line 2176

Leges publicae non patiuntur maiores crassitudines quam sesquipedales constitui loco communi; ceteri

autem parietes, ne spatia angustiora fierent, eadem crassitudine conlocantur. </s>

<s id="N10880">latericii vero, nisi diplinthii aut triplinthii fuerint, sesquipedali crassitudi

ne non possunt plus

quam unam sustinere contignationem. </s>

<s id="N10883">in ea autem maiestate urbis et civium infinita frequentia innumerabiles habitationes opus est explicare. </s>

Line 2229

communi sunt calamitati, quod ad incendia uti faces sunt

parati. </s>

<s id="N108AD">itaque

satius esse videtur inpensa testaceorum in

sumptu, quam compendio craticiorum esse in periculo. </s>

<s id="N108B0">etiamque in tectoriis operibus rimas hi faciunt arrectariorum et transversariorum dispositione. </s>

Line 2256

Materies caedenda est a primo autumno ad id tempus,

quod erit antequam flare incipiat favonius. </s>

<s id="N108CA">vere enim

omnes arbores fiunt praegnantes et omnes suae proprietatis virtutem efferunt in frondem anniversariosque fructus. </s>

<s id="N108CD">cum ergo inanes et tumidae temporum necessitate

Line 2277

</subchap2>

Eadem ratione autumnali tempore maturitate fructuum flaccescente fronde, ex terra recipientes caudices arborum in se sucum recuperantur et restituuntur in antiquam soliditatem. </s>

<s id="N108D9">at vero aeris hiberni vis comprimit

Line 2340

</subchap2>

Ex ea autem, aut nequam est excisa, quae pars est proxima terrae, per radices recipiens ex proximitate umorem enodis et liquida efficitur; quae vero est superior, vehementia caloris eductis in aera per nodos

ramis, praecisa alte circiter pedes <emph type="smallcaps"/>XX<emph.end type="italics"/> et perdolata propter

Line 2368

Aesculus vero, quod est omnibus principiis temperata, habet in aedificiis magnas utilitates; sed ea, cum in umore

conlocatur, recipiens penitus per foramina liquorem eiecto

aere et igni operatione umidae potestatis vitiatur. </s>

<s id="N1092F">cerrus,

[quercus] fagus, quod pariter habent mixtionem umoris et

ignis et terreni, aeris plurimum, per huius raritates umores

Line 2416

<s id="N10958">itaque Graeci, quod ex

ea materia iuga iumentis comparant, quod apud eos iuga

<foreign lang="greek">zuga/</foreign> vocitantur, item <foreign lang="greek">zugi/hn</foreign> eam appellant. </s>

<s id="N10963">non minus

est admirandum de cupresso et pinu, quod eae habentes

umoris abundantiam aequamque ceterorum mixtionem,

Line 2453

lignis uratur; nec tamen tunc flammam recipit nec carbonem remittit, sed longo spatio tarde comburitur. <namque ea materies,> quod est minima ignis et aeris e principiis temperatura, umore autem et terreno est spisse

solidata, non habet spatia foraminum, qua possit ignis

penetrare, rei

citque eius vim nec patitur ab eo sibi cito

noceri, propterque pondus ab aqua non sustinetur, sed

cum portatur, aut in navibus aut supra abiegnas rates

Line 2532

Montis Appennini primae radices ab Tyrrenico mari inter Alpis et extremas Etruriae regiones

oriuntur. </s>

Line 2592

<s id="N109EF">LIBER TERTIUS</s>

Line 2640

pictores, uti Aristomenes Thasius, Polycles et Androcydes

<Cyzice>ni, Theo Magnes ceterique, quos neque industria

neque artis studium neque sollertia defe

cit, sed aut rei

familiaris exiguitas aut inbecillitas fortunae seu in ambitione certationis contrariorum superatio obstitit eorum dignitati.

</s>

Line 2693

Aedium compositio constat ex symmetria, cuius rationem diligentissime architecti tenere debent. </s>

<s id="N10A35">ea autem paritur a proportione, quae graece <foreign lang="greek">a)nalogi/a</foreign> dicitur. </s>

<s id="N10A3C">proportio

est ratae partis membrorum in omni opere totiusque commodulatio, ex qua ratio efficitur symmetriarum. </s>

<s id="N10A3F">namque

non potest aedis ulla sine symmetria atque proportione rationem habere compositionis, nisi uti hominis bene figurati membrorum habuerit exactam rationem.

</s>

Line 2724

capilli frons efficitur item tertiae partis. </s>

<s id="N10A4B">pes vero altitudinis corporis sextae, cubitum quartae, pectus item quartae. </s>

<s id="N10A4E">reliqua quoque membra suas habent commensus proportiones, quibus etiam antiqui pi

ctores et statuarii nobiles usi magnas et infinitas laudes sunt adsecuti.

</s>

</subchap2>

Similiter vero sacrarum aedium membra ad universam totius magnitudinis

summam ex partibus singulis convenientissimum debent

Line 2778

</subchap2>

Mathematici vero contra disputantes ea

re perfectum dixerunt esse numerum qui sex dicitur, quod

Line 2799

</subchap2>

Non minus etiam, quod pes hominis altitudinis sextam habet

partem, (ita etiam, ex eo quod perficitur pedum numero

Line 2845

Aedium autem principia sunt, e quibus constat figurarum aspectus, ea: primum in antis, quod graece <foreign lang="greek">nao\s e)n parasta/sin</foreign> dicitur,

deinde prostylos, amphiprostylos,

peripteros, pseudodipteros, <dipteros>, hypaethros. </s>

<pb ed="1567" pagenum="95"/><s id="N10AE8">horum exprimuntur formationes his rationibus.

<pb xlink:href="048/01/094.jpg" ed="1567" pagenum="95"/><s id="N10AE8">horum exprimuntur formationes his rationibus.

</s>

</subchap2>

Line 2859

In antis erit aedes, cum habebit in fronte antas parietum, qui cellam circumcludunt, et inter antas in medio columnas duas supraque

fastigium symmetria ea conlocatum, quae in hoc libro fuerit

perscripta. </s>

<s id="N10AF1">huius autem exemplar erit ad Tres Fortunas extribus quod est proxime portam Collinam.

</s>

Line 2883

</subchap2>

Peripteros autem erit, quae habebit in fronte et postico senas columnas, in

lateribus cum angularibus undenas. </s>

Line 2936

Species autem aedium sunt quinque, quarum ea sunt

vocabula: pycnostylos, id est crebris columnis, systylos paulo

Line 2947

</subchap2>

Ergo pycnostylos est, cuius intercolumnio unius et dimidiatae columnae crassitudo interponi potest, quemadmodum est divi Iulii et in

Caesaris foro Veneris et si quae aliae sic sunt compositae. </s>

Line 2960

</subchap2>

Haec utraque genera vitiosum habent usum. </s>

<s id="N10B4D">matres

Line 2971

</subchap2>

Diastyli autem haec erit compositio, cum trium columnarum crassitudinem intercolumnio interponere possumus, tamquam est Apollinis et

Dianae aedis. </s>

Line 3011

</subchap2>

Huius autem rei ratio explicabitur sic. </s>

<s id="N10B74">frons loci quae in

Line 3045

columnarum <emph type="smallcaps"/>XXXIV<emph.end type="italics"/> eaque ratione sumptus operasque compendii fecit. </s>

<s id="N10BB4">is in medio ambulationi laxamentum egregie

circa cellam

fecit de aspectuque nihil inminuit, sed sine

desiderio supervacuorum conservavit auctoritatem totius operis distributione.

</s>

Line 3125

dividendae sunt in octo partes, et earum septem in summo

scapo sub capitulo contrahantur. </s>

<s id="N10BFE">item si quae altiores erunt, eadem ratio

ne pro rata constituantur contracturae.

</s>

Line 3154

ad solidum et in solido, quantum ex amplitudine operis pro

ratione videbitur, extruaturque structura totum solum quam

solidissima. </s>

<s id="N10C18">supraque terram parietes extruantur sub columnas dimidio crassiores quam columnae sunt futurae, uti

firmiora sint inferiora superioribus; quae stereobates appellantur, nam excipiunt onera. </s>

<s id="N10C1B">spirarumque proiecturae non

Line 3193

</subchap2>

Gradus in fronte constituendi ita sunt, uti sint semper inpares; namque cum dextro pede

primus gradus ascendatur, item in summo templo primus

Line 3228

His perfectis in suis locis spirae conlocentur, eaeque ad

symmetriam sic perficiantur, uti crassitudo cum plintho

Line 3250

</subchap2>

Sin autem ionicae erunt faciendae, symmetriae earum sic erunt constituendae, uti latitudo spirae quoqueversus sit columnae

crassitudinis adiecta <e> crassitudine quarta et octava. </s>

<s id="N10C7A">altitudo ita uti atticurges; item et eius plinthos; reliquumque

praeter plinthum, quod erit tertia pars crassitudinis columnae, divi

datur in partes septem: inde trium partium

torus, qui est in summo; reliquae quattuor partes dividendae

sunt aequaliter, et una pars fiat cum suis astragalis et supercilio superior trochilus, altera pars inferiori trochilo relinquatur; sed inferior maior apparebit, ideo quod habebit ad

Line 3284

</subchap2>

Scapis columnarum statutis capitulorum ratio <sic est

habenda.> si pulvinata erunt, his symmetriis conformabuntur,

Line 3305

</subchap2>

Tunc ab linea, quae secundum abaci extremam partem demissa erit, in interiorem partem <alia>

recedat unius et dimidiatae partis latitudine. </s>

Line 3327

Capituli autem crassitudo sic est facienda, ut ex novem partibus et dimidia tres partes praependeant infra astragalum summi

scapi; cymatio, adempto abaco et canali, reliqua sit pars. </s>

<s id="N10CB5">proiectura autem cymatii habeat extra abaci quadram

oculi magnitudinem. </s>

<s id="N10CB8">pulvinorum baltei ab abaco hanc habeant proiecturam, uti circini centrum unum cum sit positum

Line 3370

</subchap2>

Quo altius enim scandit oculi species, non facile

persecat aeris crebritatem; dilapsa itaque altitudinis spatio

Line 3417

</subchap2>

Tympani autem, quod est in fastigio, altitudo sic est facienda,

uti frons coronae ab extremis cymatiis tota dimetiatur in

Line 3450

Columnarum striae faciendae sunt <emph type="smallcaps"/>XXIIII<emph.end type="italics"/> ita excavatae, uti norma in cavo

striae cum fuerit con

iecta, circumacta anconibus <angulos>

striarum dextra ac sinistra tangat cacumenque normae circum rotundationem tangendo pervagari possit. </s>

<s id="N10D80">crassitudines

Line 3485

<s id="N10D95">LIBER QUARTUS</s>

Line 3543

Ita e generibus duobus capitulo interposito tertium genus in operibus est

procreatum. </s>

<s id="N10DC3">e columnarum enim formationibus trium generum factae sunt nominationes, dorica, ionica, corinthia, e

quibus prima et antiquitus dorica est nata.

</s>

Line 3604

</subchap2>

Item postea Dianae <cum cogitarent> constituere aedem,

quaerentes novi generis speciem isdem vestigiis ad muliebrem transtulerunt gracilitatem, et fecerunt primum columnae crassitudinem altitudinis octava parte, ut haberet

Line 3688

Dempta abaci crassitudine dividatur reliqua pars in partes

tres, e quibus una imo folio detur; secundum folium mediam

altitudinem teneat;

coliculi eandem habeant altitudinem,

e quibus folia nascuntur proiecta, uti excipiant quae ex

coliculis natae procurrunt ad extremos angulos volutae;

Line 3712

Quoniam autem de generibus columnarum origines et

inventiones supra sunt scriptae, non alienum mihi videtur

Line 3733

</subchap2>

Ita unaquaeque res et locum et genus et ordinem proprium tuetur. </s>

<s id="N10E64">e quibus rebus

Line 3778

<s id="N10E84">etiamque ubi

nunc triglyphi constituuntur, si ibi luminum spatia fuisse

iudicabuntur, isdem rationibus denticuli in ionicis fenestrarum occupavisse loca videbuntur. </s>

<s id="N10E87">utraque enim, et inter

denticulos et inter triglyphos quae sunt intervalla, metopae nominantur. <foreign lang="greek">o)pai</foreign> enim Graeci tignorum cubicula et asserum appellant, uti nostri ea cava columbaria. </s>

<s id="N10E8E">ita quod

Line 3801

constitutum fuerit, mendosam habebit operis rationem. </s>

<s id="N10EA1">etiam quod antiqui non probaverunt, neque instituerunt

in fastigiis <mutulos aut> denticulos

fieri sed puras coronas, ideo quod nec cantherii nec asseres contra fastigiorum frontes distribuuntur nec possunt prominere, sed

ad stillicidia proclinati conlocantur. </s>

<s id="N10EA4">ita quod non potest

Line 3842

Namque necesse est triglyphos constitui contra medios tetrantes columnarum, metopasque, quae inter trigly

phos fient, aeque longas esse

quam altas. </s>

<s id="N10EC9">contraque in angulares columnas triglyphi in extremis partibus constituuntur et non contra medios

Line 3876

<s id="N10EFF">crassitudo capituli dividatur in partes tres, e

quibus una plinthus cum cymatio fiat, altera echinus cum

anulis, tertia hypotrachelion. </s>

<s id="N10F02">contrahatur columna ita, uti

in tertio libro de ionicis est scriptum. </s>

<s id="N10F05">epistylii altitudo

Line 3913

Triglyphi capitula sexta parte moduli sunt faciunda. </s>

<s id="N10F2A">supra triglyphorum capitula corona est conlocanda in proiectura dimidiae et sextae partis habens cymatium doricum in imo,

alterum in summo. </s>

<s id="N10F2D">item cum cymatiis corona crassa ex

dimidia moduli. </s>

<s id="N10F30">dividendae autem sunt in corona ima ad

perpendiculum triglyphorum et medias metopas viarum

directiones et guttarum distributiones, ita uti guttae sex

Line 3937

Haec ratio in operibus diastylis erit constituta. </s>

<s id="N10F3F">si vero

systylon et monotriglyphon opus erit faciundum, frons

aedis, si tetrastylos erit, dividatur in partes <emph type="smallcaps"/>XVIIII S<emph.end type="italics"/>, si

Line 3989

Distribuitur autem longitudo aedis, uti latitudo

sit longitudinis dimidiae partis, ipsaque cella parte quarta

Line 4000

<s id="N10F89">et si aedes erit latitudine maior quam pedes <emph type="smallcaps"/>XX<emph.end type="italics"/>, duae columnae inter duas antas

interponantur, quae disiungant pteromatos et pronai

spatium. </s>

<s id="N10F92">item intercolumnia tria, quae erunt inter antas

et columnas, pluteis marmoreis sive ex intestino opere

factis intercludantur, ita uti fores habeant, per quas itinera pronao fiant.

Line 4090

Ostiorum autem et eorum antepagmentorum in aedibus

hae sunt rationes, uti primum constituatur, quot genera

Line 4139

</subchap2>

Sin autem ionico genere futura erunt, lumen altum ad

eundem modum quemadmodum in doricis fieri videtur. </s>

Line 4194

</subchap2>

Atticurge autem isdem rationibus perficiuntur, quibus

dorica. </s>

Line 4288

Fiunt autem aedes rotundae, e quibus aliae monopteroe sine cella columnatae constituuntur, aliae peripteroe

dicuntur. </s>

Line 4309

</subchap2>

Sin autem peripteros ea aedes constituetur, duo gradus et stylobata ab imo constituantur. </s>

<s id="N11152">deinde cellae paries conlocetur cum recessu eius a stylobata circa partem

Line 4332

</subchap2>

Item generibus aliis constituuntur aedes ex isdem symmetriis ordinatae et alio genere dispositiones habentes,

uti est Castoris in circo Flaminio et inter duos lucos

Line 4385

Arae spectent ad orientem et semper inferiores sint conlocatae quam simulacra, quae fuerint

in aede, uti suspicientes divinitatem, qui supplicant, et

Line 4411

<s id="N111A6">LIBER QUINTUS</s>

Line 4440

Id autem in architecturae conscriptionibus non potest fieri, quod vocabula ex artis propria necessitate concepta inconsueto sermone obiciunt sensibus obscuritatem. </s>

<s id="N111C4">cum ergo ea per se non sint aperta nec pateant eorum in consuetudine nomina, tum etiam

prae

ceptorum late vagantes scripturae, si non contrahentur, ut paucis et perlucidis sententiis explicentur, frequentia multitudineque sermonis inpediente incertas legentium

efficient cogitationes. </s>

<s id="N111C7">itaque occultas nominationes commensusque e membris operum pronuntians, ut memoriae

Line 4472

<s id="N111E1">is cum est iactus, quam in

partem incubuit, dum est intactus, inmotam habet stabilitatem, uti sunt etiam tesserae, quas in alveo ludentes

iaciunt. </s>

<s id="N111E4">hanc autem similitudinem ex eo sumpsisse videntur, quod is numerus versuum, uti cybus, in quemcumque

sensum insederit, inmotam efficiat ibi memoriae stabilitatem. </s>

<s id="N111E7">graeci quoque poetae comici interponentes e choro canticum diviserunt spatia fabularum. </s>

Line 4503

Graeci in quadrato amplissimis et duplicibus porticibus

fora constituunt crebrisque columnis et lapideis aut marmoreis epistyliis adornant et supra ambulationes in contignationibus faciunt. </s>

<s id="N11205">Italiae vero urbibus non eadem est

ratione faciendum, ideo quod a maioribus consuetudo tradita est gladiatoria munera in foro dari.

</s>

Line 4538

</subchap2>

Basilicarum loca adiuncta foris quam calidissimis partibus oportet constitui, ut per hiemem sine molestia tempestatium se conferre in eas negotiatores possint. </s>

<s id="N11228">earumque latitudines ne minus quam ex tertia, ne plus ex

Line 4562

</subchap2>

[Non minus summam dignitatem et venustatem possunt

habere comparationes basilicarum, quo genere Coloniae

Line 4571

<s id="N11245">mediana

testudo inter columnas est longa pedes <emph type="smallcaps"/>CXX<emph.end type="italics"/>, lata pedes

<emph type="smallcaps"/>LX<emph.end type="italics"/>. porticus eius circa testudinem inter parietes et columnas lata pedes <emph type="smallcaps"/>XX<emph.end type="italics"/>.

columnae altitudinibus perpetuis

cum capitulis pedes <emph type="smallcaps"/>L<emph.end type="italics"/>, crassitudinibus quinûm, habentes

post se parastaticas altas pedes <emph type="smallcaps"/>XX<emph.end type="italics"/>, latas pedes <emph type="smallcaps"/>II S<emph.end type="italics"/>, crassas <emph type="smallcaps"/>I S<emph.end type="italics"/>, quae sustinent trabes, in quibus invehuntur porticuum contignationes. </s>

<s id="N11272">supraque eas aliae parastaticae pedum <emph type="smallcaps"/>XVIII<emph.end type="italics"/>, latae binûm, crassae pedem, quae excipiunt item

trabes

sustinentes cantherium et porticûm, quae sunt summissa infra testudinem, tecta.

</s>

Line 4595

</subchap2>

Item tribunal, quod est in ea aede, hemicycli

schematis minoris curvatura formatum; eius autem hemicycli in fronte est intervallum pedes <emph type="smallcaps"/>XLVI<emph.end type="italics"/>, introrsus curvatura pedes <emph type="smallcaps"/>XV<emph.end type="italics"/>, uti, qui apud magistratus starent, negotiantes in basilica ne inpedirent. </s>

Line 4608

</subchap2>

Supra trabes contra capitula ex fulmentis dispositae pilae sunt conlocatae,

altae pedes <emph type="smallcaps"/>III<emph.end type="italics"/>, latae quoqueversus quaternis. </s>

Line 4657

Cum forum constitutum fuerit, tum deorum inmortalium

diebus festis ludorum spectationibus eligendus est locus

Line 4683

</subchap2>

Fundamentorum autem, si in montibus fuerint, facilior erit ratio; sed si necessitas

coegerit in plano aut palustri loco ea constitui, solidationes substructionesque ita erunt faciendae, quemadmodum de fundationibus aedium sacrarum in tertio libro est scriptum. </s>

Line 4693

</subchap2>

Praecinctiones ad altitudines theatrorum pro rata parte faciendae videntur, neque altiores quam quanta praecinctionis itineris sit latitudo. </s>

<s id="N112FF">si enim excelsiores fuerint, repellent et eicient e superiore parte vocem nec patientur in sedibus suis, quae <sunt> supra praecinctiones, verborum casus certa significatione ad aures pervenire. </s>

Line 4730

Eadem ratione vox item ad circinum efficit motiones;

sed in aqua circuli planitiae in latitudine moventur, vox et in latitudine progreditur et altitudinem gradatim scandit. </s>

<s id="N11325">igitur ut in aqua undarum designationibus, item in voce cum offensio nulla primam undam interpellaverit, non disturbat secundam nec insequentes, sed omnes sine resonantia perveniunt ad imorum et ad summorum aures.

</s>

Line 4769

</subchap2>

Vox enim mutationibus cum flectitur, alias fit acuta, alias gravis;

duobusque modis movetur, e quibus unus effectus habet

Line 4800

<s id="N1136B">chroma subtili sollertia ac crebritate modulorum suaviorem habet delectationem. </s>

<s id="N1136E">diatoni vero, quod

naturalis est, facilior est intervallorum distantia. </s>

<s id="N11371">in his

tribus generibus dissimiles sunt tetrachordorum dispositiones, quod harmonia [tetrachordorum] et tonos et dihesis habet binas (dihesis autem est toni pars quarta;

ita in hemitonio duae diheses sunt conlocatae); chromati

Line 4809

continuati, tertium hemitonium finit tetrachordi magnitudinem. </s>

<s id="N11374">ita in tribus generibus tetrachorda ex duobus

tonis et hemitonio sunt peraequata,

sed ipsa cum separatim uniuscuiusque generis finibus considerantur, dissimilem habent intervallorum designationem.

</s>

Line 4831

Sonitus, qui graece <foreign lang="greek">fqo/ggoi</foreign> dicuntur, in unoquoque

genere sunt <emph type="smallcaps"/>X<emph.end type="italics"/> et <emph type="smallcaps"/>VIII<emph.end type="italics"/>, e quibus <emph type="smallcaps"/>VIII<emph.end type="italics"/> sunt in tribus generibus perpetui et stantes, reliqui <emph type="smallcaps"/>X<emph.end type="italics"/>, cum communiter modulantur, sunt vagantes. </s>

<s id="N113A1">stantes autem sunt, qui inter

mobiles [sunt] interpositi continent tetrachordi coniunctionem et e generum discriminibus suis finibus sunt permanentes; appellantur autem sic: proslambanomenos, hypate hypaton, hypate meson, mese, nete synhemmenon,

paramese, nete diezeugmenon, nete hyperbolaeon. </s>

Line 4847

</subchap2>

Ei autem qua moventur, recipiunt virtutes alias; intervalla enim

et distantias habent crescentes. </s>

Line 4879

</subchap2>

Ideoque et a numero nomina ceperunt, quod,

cum vox constiterit in una sonorum finitione ab eaque se

Line 4898

sonitus aut vocis cantus factus fuerit, nec inter tria aut

sex aut septem possunt consonantiae fieri, sed, uti supra

scriptum est, diatessaron et diapente et ex ordine ad disdiapason

convenientiae ex natura vocis congruentis habent finitiones. [et ei concentus procreantur ex coniunctione sonituum, qui graece <foreign lang="greek">fqo/ggoi</foreign> dicuntur.]

</s>

Line 4964

In medio nihil est conlocandum, ideo quod sonitûm nulla alia qualitas in chromatico genere symphoniae consonantiam potest habere. </s>

<s id="N11429">in summa vero divisione et regione cellarum in cornibus

primis ad diatonon hyperbolaeon fabricata vasa sonitu

ponantur, in secundis diatessaron ad diatonon <diezeugmenon>, tertiis ad diatonon synhemmenon, quartis diatessaron ad diatonon meson, quintis diatessaron ad diatonon hypaton, sextis diatessaron ad proslambanomenon,

Line 4985

</subchap2>

Dicet aliquis forte multa theatra quotannis Romae

facta esse neque ullam rationem harum rerum in his

Line 5014

Ipsius autem theatri conformatio sic est facienda, uti,

quam magna futura est perimetros imi, centro medio conlocato circumagatur linea rotundationis, in eaque quattuor

Line 5035

Ita latius factum fuerit pulpitum quam Graecorum,

quod omnes artifices in scaena dant operam, in orchestra

autem senatorum sunt sedibus loca designata. </s>

<s id="N1145C">et eius

pulpiti altitudo sit ne plus pedum quinque, uti, qui in

orchestra sederint, spectare possint omnium agentium

Line 5045

uti anguli trigonorum, qui currunt circum curvaturam

circinationis, dirigant ascensus scalasque inter cuneos ad

primam praecinctionem;

supra autem alternis itineribus superiores cunei medii dirigantur.

</s>

Line 5101

</subchap2>

Nec tamen in omnibus theatris symmetriae ad omnes

rationes et effectus possunt respondere, sed oportet architectum animadvertere, quibus proportionibus necesse sit

Line 5133

</subchap2>

Genera autem sunt scaenarum tria: unum quod dicitur tragicum, alterum comicum, tertium

satyricum. </s>

Line 5176

peragunt, reliqui autem artifices suas per orchestram

praestant actiones; itaque ex eo scaenici et thymelici graece

separatim nominantur. </s>

<s id="N114DD">eius logei altitudo non minus debet esse pedum <emph type="smallcaps"/>X<emph.end type="italics"/>, non plus duodecim. </s>

<s id="N114E6">gradationes scalarum inter cuneos et sedes contra quadratorum angulos

dirigantur ad primam praecinctionem, a praecinctione

Line 5212

faciat auditu; item consonantes sunt, in quibus ab imis

auxiliata cum incremento scandens egrediatur ad aures

diserta verborum claritate. </s>

<s id="N1150B">ita si in locorum electione

fuerit diligens animadversio, emendatus erit prudentia

ad utilitatem in theatris vocis effectus. </s>

Line 5229

Post scaenam porticus sunt constituendae, uti, cum

imbres repentini ludos interpellaverint, habeat populus,

Line 5315

<s id="N1156E">ergo si ita videtur, uti in hypaethris

locis ab aere umores ex corporibus exsugantur molestiores, quemadmodum ex terra per nebulas videntur, non

puto dubium esse, quin amplissimas et ornatissimas subdiu

hypaethrusque conlocari oporteat in civitatibus ambulationes.

</s>

Line 5396

</subchap2>

Suspensurae caldariorum ita sunt faciendae, ut primum sesquipedalibus tegulis solum sternatur inclinatum ad hypocausim, uti pila, cum mittatur, non possit intro resistere, sed

rursus redeat ad praefurnium ipsa per se; ita flamma

Line 5430

</subchap2>

Magnitudines autem balneorum videntur fieri pro copia hominum <gap/> sint ita compositae. </s>

<s id="N115D8">quanta longitudo fuerit tertia dempta, latitudo sit, praeter scholam labri et alvei. </s>

Line 5486

versuris ex una parte laconicum ad eundem modum, uti

quam supra scriptum est, compositum, ex adverso laconici

caldam lava

tionem. </s>

<s id="N11610">in palaestra peristylia, quemadmodum

supra scriptum est, ita debent esse [perfecta] distributa.

Line 5495

</subchap2>

Extra autem disponantur porticus tres, una ex peristylo

exeuntibus, duae dextra atque sinistra stadiatae, ex quibus

Line 5556

esse faciendum, uti, si nullum flumen in his locis inpedierit sed erit ex una parte statio, tunc ex altera parte

structuris sive aggeribus expediantur progressus, et ita

conformandae portuum conclusiones. </s>

<s id="N11650">eae autem structurae, quae in aqua sunt futurae, videntur sic esse faciendae,

uti portetur pulvis a regionibus, quae sunt a Cumis continuatae ad promunturium Minervae, isque misceatur, uti in mortario duo ad unum respondeant.

</s>

Line 5645

<s id="N11699">de magnitudinibus autem finitio nulla debet

esse, sed faciunda ad maximum navium modum, uti, etsi

maio

res naves subductae fuerint, habeant cum laxamento

ibi conlocationem.

</s>

Line 5663

<s id="N116A7">LIBER SEXTUS</s>

Line 5783

aliam conatur domi facere, uti sutrinam, fullonicam aut

ex ceteris, quae sunt faciliores, nisi architecturam, ideo

quod, qui pro

fitentur, non arte vera sed falso nominantur

architecti. </s>

<s id="N11709">quas ob res corpus architecturae rationesque

Line 5815

</subchap2>

Sub septentrione aedificia testudinata et maxime conclusa et

non patentia, sed conversa ad calidas partes oportere fieri

Line 5872

</subchap2>

Itaque quod est spatium proximum imo cardini ab axis linea in meridianis finibus,

sub eo loco quae sunt nationes, propter brevitatem altitudinis ad mundum sonitum vocis faciunt tenuem et acutissimum, uti in organo chorda, quae est proxima angulo. </s>

Line 5938

Cum sint autem meridiane nationes animis acutissimis infinitaque

sollertia consiliorum, simul ut ad fortitudinem ingrediuntur, ibi succumbunt, quod habent exsuctas ab sole animorum virtutes; qui vero refrigeratis nascuntur regionibus, ad armorum vehementiam paratiores sunt magnis

virtutibus sine timore, sed tarditate animi sine considerantia inruentes sine sollertia suis consiliis

refragantur. </s>

<s id="N1178E">cum ergo haec ita sint ab natura rerum in mundo conlocata et omnes nationes inmoderatis mixtionibus disparatae, veros inter spatium totius orbis terrarum regionesque medio mundi populus Romanus possidet fines.

</s>

Line 6018

</subchap2>

Cum ergo, quae sunt vera, falsa videantur et nonnulla aliter quam sunt oculis probentur, non

puto oportere esse dubium, quin ad locorum naturas aut

Line 6075

</subchap2>

Atriorum vero latitudines ac longitudines tribus generibus formantur. </s>

<s id="N11802">et primum genus distribuitur, uti, longitudo cum in quinque partes divisa fuerit, tres partes latitudini dentur; alterum, cum in tres partes dividatur, duae

Line 6095

</s>

Alis dextra ac sinistra latitudinis <spatium>, cum sit atrii

longitudo ab <emph type="smallcaps"/>XXX<emph.end type="italics"/> pedibus ad pedes <emph type="smallcaps"/>XL<emph.end type="italics"/>, ex tertia parte eius

Line 6121

</subchap2>

Tablinum, si latitudo atrii erit pedum viginti, dempta

tertia eius spatio reliquum tribuatur. </s>

Line 6135

in minoribus, neque tablina neque alae utilitatem poterunt

habere, sin autem minorum in maioribus utemur, vasta

et inmania in his ea erunt membra. </s>

<s id="N11872">itaque generatim

magnitudinum rationes exquisitas et utilitati et aspectui conscribendas putavi.

</s>

Line 6201

</subchap2>

Inter corinthios autem et aegyptios hoc erit discrimen. </s>

<s id="N118B3">corinthii simplices habent columnas aut in podio positas aut

Line 6246

Nunc explicabimus, quibus proprietatibus genera aedificiorum ad usum et caeli regiones aptas debeant spectare. </s>

<s id="N118DD">hiberna triclinia et balnearia ad occidentem hibernum

Line 6323

Ergo si his rationibus ad singulorum generum personas, uti in libro primo de

decore est scriptum, ita disposita erunt aedificia, non erit

quod reprehendatur; habebunt enim ad omnes res commodas et emendatas explicationes. </s>

<s id="N11913">earum autem rerum

non solum erunt in urbe aedificiorum rationes, sed etiam

ruri, praeterquam quod in urbe atria proxima ianuis

Line 6374

<s id="N1193A">habeatque coniunctam vinariam

cellam habentem ab septentrione lumina fenestrarum; cum

enim

alia parte habuerit, qua sol calfacere possit, vinum,

quod erit in ea cella, confusum ab calore efficietur inbecillum.

</s>

Line 6435

</subchap2>

Omniaque aedificia ut luminosa sint, oportet curari; sed quae sunt ad villas,

faciliora videntur esse, ideo quod paries nullius vicini

Line 6525

In his oecis fiunt virilia convivia; non enim fuerat institutum matres familiarum eorum

moribus accumbere. </s>

<s id="N119CC">haec autem peristylia domus andronitides dicuntur, quod in his

viri sine interpellationibus

mulierum versantur. </s>

<s id="N119CF">praeterea dextra ac sinistra domunculae constituuntur habentes proprias ianuas, triclinia et

Line 6598

Aedificia quae plano pede instituuntur, si fundamenta

eorum facta fuerint ita, ut in prioribus libris de muro et

Line 6614

</subchap2>

Praeterea inter lumina secundum pilas et antas postes si

supponentur, erunt non vitiosae. </s>

Line 6669

anterides, sive erismae sunt, una struantur, eaeque inter

se distent tanto spatio, quanta altitudo substructionis est

futura,

crassitudine eadem, qua substructio; procurrat

autem ab imo, pro quam crassitudo constituta fuerit substructionis, deinde contrahatur gradatim, ita uti summam habeat prominentiam, quanta operis est crassitudo.

</s>

Line 6712

ut in primo volumine est expositum; praeterea in domini

est potestate, utrum latericio an caementicio an saxo

quadrato velit aedificare. </s>

<s id="N11A83">itaque omnium operum probationes tripertito considerantur, id est fabrili subtilitate

et magnificentia et dispositione. </s>

<s id="N11A86">cum magnificenter opus

Line 6782

reprehendendi, sed etiam, quia impio more vixerunt, poena

condemnandi. </s>

<s id="N11AB6">nec tamen haec res non vindicatae curiosius ab antiquis esse memoran

<s id="N11AB9">quorum exitus iudiciorum qui fuerint, non est alienum, quemadmodum sint nobis traditi, explicare.

</s>

Line 6941

Praeterea minus nobiles multi praecepta symmetriarum conscripserunt, uti Nexaris, Theocydes, Demophilos,

Pollis, Leonidas, Silanion, Melampus, Sarnacus, Euphranor. </s>

<s id="N11B3A">non minus de machinationibus, uti Diades, Archytas, Archimedes, Ctesibios, Nymphodorus, Philo Byzantius, Diphilos, Democles, Charias, Polyidos, Pyrros,

Agesistratos. </s>

<s id="N11B3D">quorum ex commentariis, quae utilia esse his rebus animadverti, collecta in unum coegi corpus, et ideo maxime,

quod animadverti in ea re ab Graecis volumina plura

Line 7033

potius relaxatus supra se pendentem habeat coaxationem. </s>

<s id="N11B92">cum enim solidus exit, contignationibus arescentibus aut

pandatione sidentibus, permanens struc

turae soliditate

dextra ac sinistra secundum se facit in pavimentis necessario rimas.

</s>

Line 7146

Cum a pavimentorum cura discessum fuerit, tunc de

albariis operibus est explicandum. </s>

Line 7183

Cum ergo camerarum postulabitur ratio, sic erit faciundum. </s>

<s id="N11C17">asseres directi disponantur inter se ne plus spatium

Line 7277

mediocre dirigatur; id cum subactum fuerit et bene fricatum, subtilius inducatur. </s>

<s id="N11C62">ita cum tribus coriis harenae

et item marmoris solidati parietes fuerint, neque

<pb ed="1567" pagenum="238"/>rimas, neque aliud vitium in se recipere poterunt,

<pb xlink:href="048/01/237.jpg" ed="1567" pagenum="238"/>rimas, neque aliud vitium in se recipere poterunt,

</s>

</subchap2>

Line 7361

Quibus rationibus siccis locis tectoria oporteat fieri,

dixi; nunc, quemadmodum umidis locis politiones expediantur, ut permanere possint sine vitiis, exponam. </s>

Line 7431

Foditur enim infra libramentum triclinii altitudo circiter pedum binûm, et solo

festucato inducitur aut rudus aut testaceum pavimentum

ita fastigatum, ut in cana

li habeat nares. </s>

<s id="N11CDA">deinde congestis

et spisse calcatis carbonibus inducitur e sabulone et calce et

Line 7448

Ceteris conclavibus, id est vernis, autumnalibus, aestivis,

etiam atriis et peristylis, constitutae sunt ab antiquis ex

Line 7538

<s id="N11D26">videamus item nunc, ne Apaturii scaena efficiat et nos

Alabandis aut Abderitas. </s>

<s id="N11D29">qui enim

vestrum domos supra

tegularum tecta potest habere aut columnas seu fastigiorum explicationes? haec enim supra contignationes ponuntur, non supra tegularum tecta. </s>

<s id="N11D2C">si ergo, quae non

Line 7586

Marmor non eodem genere omnibus regionibus procreatur, sed quibusdam locis glaebae ut salis micas perlucidas habentes nascuntur, quae contusae et molitae praestant operibus utilitatem. </s>

<s id="N11D55">quibus autem locis eae copiae

Line 7601

</s>

Colores vero alii sunt, qui per se certis locis procreantur et inde fodiuntur, nonnulli ex aliis rebus tractationibus aut mixtionum temperaturis compositi perficiuntur, uti praestent eandem in operibus utilitatem.

</s>

Line 7795

Quae succurrere potuerunt mihi de minio, dixi. </s>

<s id="N11E27">chrysocolla adportatur a Macedonia; foditur autem ex îs locis,

qui sunt proximi aerariis metallis. </s>

<s id="N11E2A">armenium et indicum

Line 7852

Caeruli temperationes Alexandriae primum sunt inventae, postea item Vestorius Puteolis instituit faciundum.

ratio autem eius, e quibus est inventa, satis habet admirationis. </s>

Line 7902

Incipiam nunc de ostro dicere, quod et carissimam et

excellentissimam habet praeter hos colores aspectus suavitatem. </s>

Line 7980

<s id="N11ECA">LIBER OCTAVUS</s>

Line 8045

</s>

Cum ergo et a physicis et philosophis et ab sacerdotibus iudicetur ex potestate aquae omnes res constare,

putavi, quoniam in prioribus septem voluminibus rationes

Line 8149

vas umidum erit et iam dissolvetur ab umore. </s>

<s id="N11F5E">vellusque

lanae si con

locatum erit in ea fossura, insequenti autem

die de eo aqua expressa erit, significabit eum locum habere

copiam. </s>

Line 8245

oriens impetu tangit orbem terrae et ventorum flatus

oriuntur per tenebras, ab umidis locis egrediuntur in altitudinem nubes. </s>

<s id="N11FA2">aer autem cur a sole percalefactus cum rationibus tollit ex terra umores,

licet ex balineis exemplum capere.

</s>

Line 8340

Sunt autem etiam nonnulli fontes calidi, ex quibus

profluit aqua sapore optimo, quae in potione ita est suavis, uti nec fontalis ab Camenis nec Marcia saliens desideretur. </s>

Line 8406

Est autem aquae frigidae genus nitrosum, uti Pinnae Vestinae, Cutiliis aliisque locis similibus, quae potionibus depurgat per

alvumque transeundo etiam strumarum minuit tumores. </s>

<s id="N1201C">ubi vero aurum, argentum, ferrum, aes, plumbum reliquaeque res earum similes fodiuntur, fontes inveniuntur copiosi,

sed hi maxime sunt vitiosi. </s>

<s id="N1201F">habent enim, uti aquae calidae

Line 8491

<s id="N12066">etiamque

est in Cappadocia in itinere, quod est inter Mazaca et

Tyana, lacus amplus, in quem lacum pars sive harun

dinis

sive alii generis si demissa fuerit et postero die exempta,

ea pars, quae fuerit exempta, invenietur lapidea, quae

Line 8560

<s id="N120A1">has autem varietates terrae umoris

qualitatis regionibus et locis inclinatio mundi et solis impetus propius aut longius cursum faciendo tales efficit. </s>

<s id="N120A4">nec solum in his rebus, sed etiam in pecoribus et armentis

haec non ita similiter efficerentur, nisi proprietates singularum terrarum <umorum> in regionibus ad solis potestatem temperarentur.

</s>

Line 8618

aeneum nec ferreum vas potest sustinere, sed dissilit et

dissipatur. </s>

<s id="N120D4">con

servare autem eam et continere nihil aliud

potest nisi mulina ungula, qua etiam memoratur ab Antipatro in provinciam, ubi erat Alexander, per Iollam filium perlata esse et ab eo ea aqua regem esse necatum.

</s>

Line 8709

</subchap2>

Item est in insula Cia fons, e quo qui inprudentes biberint,

fiunt insipientes, et ibi est epigramma insculptum ea

Line 8831

Expertiones autem et probationes eorum sic sunt providendae. </s>

<s id="N1220C">si erunt profluentes et aperti, antequam duci

Line 8917

Ductus autem aquae fiunt generibus tribus: rivis per

canales structiles, aut fistulis plumbeis, seu tubulis fictilibus. </s>

Line 8939

Ita in medio ponentur fistulae in omnes lacus et salientes, ex altero in

balneas &dagger;vectigal quotannis populo praestent, ex quibus

tertio in domus privatas, ne desit in publico,

non enim

poterint avertere, cum habuerint a capitibus proprias ductiones. </s>

<s id="N1226A">haec autem quare divisa constituerim, hae sunt

Line 8974

pondo <emph type="smallcaps"/>DCCCCLX<emph.end type="italics"/>; si quinquagenariae, pondo <emph type="smallcaps"/>DC<emph.end type="italics"/>; quadragenariae pondo <emph type="smallcaps"/>CCCCLXXX<emph.end type="italics"/>; tricenariae pondo <emph type="smallcaps"/>CLX<emph.end type="italics"/>; vicenariae

pondo <emph type="smallcaps"/>CCXL<emph.end type="italics"/>; quinûm denûm pondo <emph type="smallcaps"/>CLXXX<emph.end type="italics"/>; denûm pondo

<emph type="smallcaps"/>CXX<emph.end type="italics"/>; octonûm pondo <emph type="smallcaps"/>C<emph.end type="italics"/>; quinariae pondo <emph type="smallcaps"/>LX<emph.end type="italics"/>.

e latitudine

autem lamnarum, quot digitos habuerint, antequam in

rotundationem flectantur, magnitudinum ita nomina concipiunt fistulae. </s>

Line 9053

</subchap2>

habent autem tubulorum ductiones ea commoda. </s>

<s id="N1230E">primum in opere quod si quod vitium factum fuerit, quilibet id potest reficere. </s>

Line 9156

<s id="N1236D">LIBER NONUS</s>

Line 9213

Et primum Platonis e multis ratiocinationibus utilissimis unam, quemadmodum

ab eo explicata sit, ponam. </s>

<s id="N1239C">locus aut ager paribus lateribus si erit quadratus eumque oportuerit duplicare, quod

opus fuerit genere numeri, quod multiplicationibus non

invenitur, eo descriptionibus linearum emendatius reperitur. </s>

Line 9268

Ita quantum areae pedum numerum duo quadrata

tribus pedibus longitudinis laterum et quattuor efficiunt,

aeque tantum numerum reddit id unum ex quinque descriptum. </s>

<s id="N12428">id Pythagoras cum invenisset, non dubitans a

Line 9296

</subchap2>

Archimedis vero cum multa miranda inventa et varia

fuerint, ex omnibus etiam infinita sollertia id, quod exponam, videtur esse expressum. </s>

Line 9304

auream coronam votivam diis inmortalibus in quodam

fano constituisset ponendam, manupretio locavit faciendam

et au

rum ad sacomam adpendit redemptori. </s>

<s id="N12443">is ad tempus

opus manu factum subtiliter regi adprobavit et ad sacomam pondus coronae visus est praestitisse.

Line 9380

Itaque Archytas cylindrorum descriptionibus, Eratosthenes organica mesolabi ratione idem

explicaverunt. </s>

<s id="N12485">cum haec sint tam magnis doctrinarum iucunditatibus animadversa et cogamur naturaliter inventionibus singularum rerum considerantes effectus moveri,

multas res attendens admiror etiam Democriti de rerum

natura volumina et eius commentarium, quod inscribitur

Line 9452

Ea autem sunt divina mente comparata habentque

admirationem magnam considerantibus, quod umbra gnomonis aequinoctialis alia magnitudine est Athenis, alia

Line 9470

Mundus autem est omnium naturae rerum conceptio summa caelumque sideribus et stellarum cursibus conformatum. </s>

<s id="N124C3">id volvitur continenter circum terram atque mare per axis cardines extremos. </s>

<s id="N124C6">namque in his

locis naturalis potestas ita architectata est conlocavitque

cardines tamquam centra, unum a terra inmani <spatio>

Line 9491

<s id="N124DE">eorum species stellis

dispositis <emph type="smallcaps"/>XII<emph.end type="italics"/> partibus peraequatis exprimit depictam ab

natura figurationem. </s>

<s id="N124E7">itaque lucentia cum mundo reliquisque sideribus ornatu circum terram mareque pervolantia cursus perficiunt ad caeli rotunditatem.

</s>

Line 9518

per ea signa contrario cursu luna, stella Mercurii, Veneris,

ipse sol itemque Martis et Iovis et Saturni ut per graduum

ascensionem percurrentes alius alia circumitionis magnitudine ab occidente ad orientem in mundo pervagantur. </s>

<s id="N12505">luna die octavo et vicesimo et amplius circiter hora caeli

circumitionem percurrens, ex quo signo coeperit ire, ad id signum revertendo perficit lunarem mensem.

</s>

Line 9533

<s id="N1251A">ex eo, quem circulum

luna terdecies in <emph type="smallcaps"/>XII<emph.end type="italics"/> mensibus percurrit, eum sol eisdem

mensibus semel permetitur. </s>

<s id="N12523">Mercurii autem et Veneris

stellae circa solis radios uti per centrum eum itineribus

coronantes regressus retrorsus et retardationes faciunt,

Line 9580

</subchap2>

Martis vero circiter sexcentesimo octogensimo tertio siderum spatia pervagando pervenit eo, ex quo initium faciendo cursum fecerat ante, et in quibus signis celerius

percurrit, cum stationem fecit, explet dierum numeri rationem. </s>

Line 9606

tum non progrediuntur, sed regressus facientes morantur,

doneque [cum idem] sol de eo trigono in aliud signum

transitionem fecerit. </s>

<s id="N1257F">id autem nonnullis sic fieri placet,

quod aiunt solem, cum longius absit abstantia quadam, non

lucidis itineribus errantia per ea sidera obscuritatis morationibus inpedire. </s>

Line 9668

</s>

Iovis autem inter Martis et Saturni circinationem currens maiorem quam Mars, minorem quam Saturnus pervolat cursum. </s>

<s id="N125C2">item reliquae stellae, quo maiore absunt

Line 9743

Cum

praeteriens vadat ad orientis caeli partes, relaxari ab impetu solis extremamque eius partem candentiae oppido quam tenui linea

ad terram mittere splendorem, et ita ex eo eam secundam

vocari. </s>

Line 9859

longitudine diei spatium. </s>

<s id="N12671">ab aquario cum ingressus est

in pisces

favonio flante, scorpionis comparat aequalem

cursum. </s>

<s id="N12674">ita sol ea signa circum pervagando certis temporibus auget aut minuit dierum et horarum spatia.

Line 9876

Namque septentrio, quem Graeci nominant <foreign lang="greek">a)/rkton</foreign> sive <foreign lang="greek">e(li/khn</foreign>, habet post se

conlocatum custodem. </s>

Line 9898

est, aurigae pedis una tenet partem stella—et adplicantur

aurigae manui haedi, capra laevo umero. </s>

tauri quidem et

arietis insuper Perseus—dexterioribus subter currentis

basem vergiliis, at sinisterioribus caput arietis—et manu

Line 9970

<s id="N126F2">ima

vero circum cynosurae caput iniecta est flexu porrectaque

proxime eius pedes. </s>

<s id="N126F5">haec autem intorta replicataque se

attollens reflectitur a capite minoris ad maiorem, circa

rostrum et capitis tempus dextrum <gap/> item supra

Line 10001

partes proximae sunt librae et scorpioni. </s>

<s id="N12712">tenet in manibus

simulacrum, id quod bestiam astrorum periti nominaverunt. </s>

<s id="N12715">virginem et leonem et cancrum anguis porrigens agmen

stellarum intortus succingit, regione cancri erigens rostrum,

ad leonem medioque corpore sustinens craterem ad manumque virginis caudam subiciens. </s>

Line 10080

et futura ex ratiocinationibus astrorum explicare. </s>

<s id="N1276D">eorum

autem inventiones reliquerunt inque <ea re> sollertia acuminibusque fuerunt

magnis, qui ab ipsa natione Chaldaeorum

profluxerunt. </s>

<s id="N12770">primusque Berosus in insula et civitate Coo

Line 10111

Nobis autem ab his separandae sunt rationes et explicandae menstruae dierum brevitates itemque dilatationes. </s>

<s id="N1278B">namque sol aequinoctiali tempore ariete libraque versando, quas e gnomone partes habet novem, eas umbrae

facit <emph type="smallcaps"/>VIII<emph.end type="italics"/> in declinatione caeli, quae est Romae. </s>

<s id="N12794">itemque

Line 10147

haec autem erit gnomonis aequinoctialis umbra. </s>

<s id="N127DA">et ab eo

signo et littera <emph type="smallcaps"/>C<emph.end type="italics"/> per centrum, ubi est littera <emph type="smallcaps"/>A<emph.end type="italics"/>, linea perducatur, ubi erit solis aequinoctialis radius. </s>

<s id="N127E9">tunc a centro

diducto circino ad lineam planitiae aequilatatio signetur,

ubi erit littera <emph type="smallcaps"/>E<emph.end type="italics"/> sinisteriore parte et <emph type="smallcaps"/>D<emph.end type="italics"/> ulteriore in extremis lineae circinationis. </s>

Line 10177

Tunc perducendae sunt <foreign lang="greek">diame/trw</foreign> ab <emph type="smallcaps"/>G<emph.end type="italics"/> ad <emph type="smallcaps"/>L<emph.end type="italics"/> et ab <emph type="smallcaps"/>H<emph.end type="italics"/> <ad

<emph type="smallcaps"/>M<emph.end type="italics"/>>. quae erit superior, partis erit aestivae, inferior hibernae. </s>

<s id="N1288F">eaeque <foreign lang="greek">diame/trw</foreign> sunt aeque mediae dividendae,

ubi erunt litterae <emph type="smallcaps"/>O<emph.end type="italics"/> et <emph type="smallcaps"/>P<emph.end type="italics"/>, ibique centra signanda. </s>

<s id="N128A2">et per

Line 10232

Hemicyclium excavatum ex quadrato ad enclimaque

succisum Berosus Chaldaeus dicitur invenisse; scaphen

Line 10265

</subchap2>

Item sunt ex aqua conquisitae ab eisdem scriptoribus

horologiorum rationes, primumque a Ctesibio Alexandrino, qui et vim spiritus naturalis pneumaticasque res

Line 10358

</subchap2>

Fiunt etiam alio genere horologia hiberna, quae anaphorica dicuntur perficiunturque rationibus his. </s>

<s id="N1297F">horae disponuntur ex virgulis aeneis ex analemmatos descriptione

Line 10367

circulus [descriptioque ex <emph type="smallcaps"/>XII<emph.end type="italics"/> caelestium signorum fit

figurata], cuius ex centro deformatio <gap/> unum maius,

alterum minus. </s>

<s id="N1298D">posteriori autem parte tympano medio

axis versatilis est inclusus inque eo axi aenea mollis catena

est involuta, ex qua pendet ex una parte phellos (sive

Line 10393

Itaque quemadmodum sol per

siderum spatia vadens dilatat contrahitque dies et horas,

sic bulla in horologiis ingrediens per puncta contra centri

tympani versationem, cotidie cum transfertur aliis temporibus per latiora, aliis per angustiora spatia, menstruis

Line 10461

horas. </s>

<s id="N129DE">ab ariete per tauri et geminorum spatia ad summa

cancri puncta partis octa

vae foramen se tympani versationibus peragens et in altitudinem eo rediens viribus extenuatur, et ita tardius fluendo dilatat morando spatia

et efficit horas in cancri signo solstitiales. </s>

<s id="N129E1">a cancro cum

Line 10476

Per scorpionis vero spatia et sagittarii proclivius deprimens se foramen rediensque circumactione ad capricorni partem <emph type="smallcaps"/>VII<emph.end type="italics"/>, restituit

celeritate salientis brumales horarum

brevitates.

</s>

Line 10496

<s id="N129FF">LIBER DECIMUS</s>

Line 10572

Machina est continens e materia coniunctio maximas

ad onerum motus habens virtutes. </s>

Line 10596

tractorium vero, cum onera machinis pertrahuntur, ut ad altitudinem sublata conlocentur. </s>

<s id="N12A6D">scansoria ratio non arte sed audacia gloriatur; ea catenationibus et transversariis et plexis conligationibus et erismatorum

fulturis continentur. </s>

<s id="N12A70">quae autem spiritus potestate adsumit ingressus, elegantes artis subtilitatibus consequetur

Line 10675

Primumque instituemus de îs, quae

aedibus sacris ad operumque publicorum perfectionem necessitate comparantur. </s>

Line 10713

</subchap2>

Haec autem ratio machinationis, quod per tres orbiculos

circumvolvitur, trispastos appellatur. </s>

Line 10741

machina, ibique religetur. </s>

<s id="N12B06">vectibus autem coacta <cum>

sucula versabitur, eriget per se machinam sine periculo. </s>

<s id="N12B09">ita circa dispositis funibus et retinaculis in palis haerentibus ampliore modo machina conlocabitur. </s>

<s id="N12B0C">trocleae et

ductarii funes, uti supra scriptum est, expediuntur.

Line 10789

</subchap2>

Est autem aliud genus machinae satis artificiosum et

ad usum celeritatis expeditum, sed in eo dare operam non

Line 10811

Cum descenderint ad imum, ex interiore parte et per secundos orbiculos traducuntur in extremum et referuntur in

summum ad orbiculos secundos; traiecti redeunt ad imum et ab imo referuntur

ad caput; traiecti per summos redeunt ad machinam imam. </s>

<s id="N12B5A">in radice autem machinae conlocatur tertia troclea; eam

autem Graeci <foreign lang="greek">e)pa/gonta</foreign>, nostri artemonem appellant. </s>

<s id="N12B61">ea

troclea religatur ad [trocleae] radicem habens

orbiculos

tres, per quos traiecti funes traduntur hominibus ad ducendum. </s>

<s id="N12B64">ita tres ordines hominum ducentes sine ergata celeriter onus ad summum perducunt.

Line 10894

<s id="N12BA3">haec autem

basis erat longa pedes duodecim, lata pedes <emph type="smallcaps"/>VIII<emph.end type="italics"/>, alta

pedes sex. </s>

<s id="N12BAC">quam Paconius gloria fretus non uti Metagenes

adportavit, sed eadem ratione alio genere constituit machinam facere.

</s>

Line 10975

</subchap2>

Id autem <eo facilius fit>, quo brevior

pars prior vectis ab ea pressione, quod est centrum, subit

Line 10987

<s id="N12C15">ita

non tam faciliter quam per oppressionem, sed adversus

nihilominus pondus oneris erit excitatum. </s>

<s id="N12C18">igitur si plus

lingula vectis supra hypomochlion posita sub onus subierit

et caput eius propius centrum pressiones habuerit, non

Line 11018

qui <foreign lang="greek">oi)/ac</foreign> a Graecis appellatur, una manu momento per

centrum ratione pressionibus aptis agitans, versat eam

amplissimis et inmanibus mercis et penus ponderibus oneratam. </s>

<s id="N12C30">eiusque vela cum sunt per altitudinem mediam

mali pendentia, non potest habere navis celerem cursum,

cum autem in summo cacumine antemnae subductae sunt,

Line 11063

Eadem ratione iumenta, cum

iuga eorum subiugiis loris per medium temperantur, aequaliter trahunt onera. </s>

<s id="N12C4E">cum autem inpares sunt eorum virtutes et unum plus valendo premit alterum,

loro traiecto fit una pars iugi longior, quae inbecilliori auxiliatur

iumento. </s>

<s id="N12C51">ita in phalangis et iugis cum in medio lora non

Line 11129

Cum autem altius extollendum erit, eadem ratio communicabitur sic. </s>

<s id="N12C8A">rota fiet circum axem

eadem magnitudine, ut ad al

titudinem, quae opus fuerit,

convenire possit. </s>

<s id="N12C8D">circum extremum latus rotae figentur

Line 11268

Insequitur nunc de Ctesibica machina, quae in

altitudinem aquam educit, monstrare. </s>

Line 11333

De hydraulis autem, quas habeant ratiocinationes, quam

brevissime proximeque attingere potero et scriptura consequi, non praetermittam. </s>

Line 11415

Itaque cum pinnae manibus tactae propellunt et reducunt continen

ter regulas alternis obturando

foramina alternis aperiundo, e musicis artibus multiplicibus modulorum varietatibus sonantes excitant voces.

</s>

Line 11435

Transfertur nunc cogitatio scripturae ad rationem non

inutilem sed summa sollertia a maioribus traditam, qua

Line 11541

quotienscumque ad foramen perducet calculos, emittet

per canaliculum. </s>

<s id="N12E23">ita et sonitu

et numero indicabit miliaria

spatia navigationis.

</s>

Line 11577

quae vocantur, fiant crassitudine unius foraminis, latitudine

unius et eius dodrantis, in extremis foraminis unius et

eius <<emph type="smallcaps"/>S<emph.end type="italics"/>>. parastaticae dextra ac sinistra prae

ter cardines

altae foraminum <emph type="smallcaps"/>IIII<emph.end type="italics"/>, crassae foraminum&dagger; quinum; cardines foraminis dimidia. <a> parastatica ad foramen spatium foraminis<arrow.to.target n="note1"/>, a foramine ad medianam parastaticam

item foraminis <arrow.to.target n="note2"/>. latitudo parastados mediae unius foraminis et eius <emph type="smallcaps"/><T>K<emph.end type="italics"/>, crassitudo foraminis unius.

Line 11700

Catapultarum rationes, e quibus membris ex portionibus componantur, dixi. </s>

<s id="N13012">ballistarum autem rationes variae sunt et differentes unius effectus causa comparatae. </s>

Line 11736

Nam quae ballista duo pondo saxum mittere

debet, foramen

erit in eius capitulo digitorum <emph type="smallcaps"/>V<emph.end type="italics"/>; si pondo

<emph type="smallcaps"/>IIII<emph.end type="italics"/>, digitorum sex et <gap/> digitorum <emph type="smallcaps"/>VII<emph.end type="italics"/>; decem pondo

digitorum <emph type="smallcaps"/>VIII<emph.end type="italics"/>; viginti pondo digitorum <emph type="smallcaps"/>X<emph.end type="italics"/>; <emph type="smallcaps"/>XL<emph.end type="italics"/> pondo

Line 11749

</subchap2>

Cum ergo foraminis magnitudo fuerit instituta, describatur

scutula, quae graece <foreign lang="greek">peri/trhtos</foreign> appellatur, cuius longitudo foraminum &dagger;vel, latitudo duo et sextae partis. </s>

Line 11878

Sumuntur tigna amplissima longitudine; supra

figuntur chelonia, in quibus includuntur suculae. </s>

Line 12024

De corace nihil putavi scribendum, quod animadverterest eam ma

chinam

nullam habere virtutem. </s>

<s id="N1336C">de accessu, quae <foreign lang="greek">e)piba/qra</foreign> graece

Line 12044

Testudo, quae ad congestionem fossarum paratur (eaque

etiam accessus ad murum potest habere), sic erit facienda. </s>

Line 12133

Eae in arbusculis, sive amaxo

podes dicuntur, habuerant versationes. </s>

<s id="N13433">ita supra transtrorum planitiem, quae supra basim fuerat,

postes erant erecti pedes <emph type="smallcaps"/>XVIII<emph.end type="italics"/><arrow.to.target n="note33"/>, latitudine <emph type="smallcaps"/>S÷<emph.end type="italics"/>, crassitudine <emph type="smallcaps"/>FZ<emph.end type="italics"/>, distantes inter se <emph type="smallcaps"/>IS÷<emph.end type="italics"/>. supra eos trabes circumclusae continebant totam compactionem latae pede <emph type="smallcaps"/>I<emph.end type="italics"/><arrow.to.target n="note34"/>, crassae <emph type="smallcaps"/>S÷<emph.end type="italics"/>. supra eam capreoli extollebantur altitudine pedum <emph type="smallcaps"/>XII<emph.end type="italics"/>; supra capreolos tignum conlocatum coniungebat capreolorum compactiones. </s>

Line 12204

De scorpionibus et catapultis et ballistis etiamque testudinibus et turribus, quae maxime mihi videbantur idonea et a quibus essent inventa et quemadmodum fieri deberent, explicui. </s>

<s id="N13511">scalarum autem et carchesiorum et eorum, quorum rationes sunt inbecilliores, non necesse habui scribere. </s>

Line 12293

Is primo negavit se facturum. </s>

<s id="N1357C">posteaquam ingenuae virgines

et ephebi cum

sacerdotibus venerunt ad deprecandum,

tunc est pollicitus his legibus, uti, si eam machinam cepisset, sua esset. </s>

<s id="N1357F">his ita constitutis, qua machina accessura

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