Vitruvius, De architectura libri decem, 1567

Table of figures

< >
[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
< >
page |< < (260) of 412 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div1" type="section" level="1" n="1">
          <div xml:id="echoid-div678" type="section" level="2" n="125">
            <p style="it">
              <s xml:id="echoid-s19444" xml:space="preserve">
                <pb o="260" file="514.01.292" n="292" rhead="LIBER"/>
              & </s>
              <s xml:id="echoid-s19445" xml:space="preserve">naturas aquarum, quas tum ipſe expertus est, tum ab alijs audita, uel ſcripta cognouit, unde tanquam
                <lb/>
              gratus, & </s>
              <s xml:id="echoid-s19446" xml:space="preserve">ingenuus gratias habet auctoribus his, a quibus aliquid didicit. </s>
              <s xml:id="echoid-s19447" xml:space="preserve">Concludit igitur tales eſſe aquas,
                <lb/>
              qualis terra, per quam fluunt, qualesq́; </s>
              <s xml:id="echoid-s19448" xml:space="preserve">herbarum, qu is lauant, ſucci, & </s>
              <s xml:id="echoid-s19449" xml:space="preserve">mximam ad humanos uſus aquæ
                <lb/>
              neceſſitatem oſtendit, quòd ſine aqua, nec corpus animalium, nec ulla cibi uirtus poteſt naſci, nec augeri, nec
                <lb/>
              conſeruari, postea de experimentis agit.</s>
              <s xml:id="echoid-s19450" xml:space="preserve"/>
            </p>
          </div>
          <div xml:id="echoid-div682" type="section" level="2" n="126">
            <head xml:id="echoid-head134" xml:space="preserve">De aquarum experimentis. Cap. V.</head>
            <p>
              <s xml:id="echoid-s19451" xml:space="preserve">
                <emph style="sc">EXpertiones</emph>
              autem, & </s>
              <s xml:id="echoid-s19452" xml:space="preserve">probationes eorum ſic ſunt prouidendæ. </s>
              <s xml:id="echoid-s19453" xml:space="preserve">Si erunt profluentes, & </s>
              <s xml:id="echoid-s19454" xml:space="preserve">
                <lb/>
                <note position="left" xlink:label="note-514.01.292-01" xlink:href="note-514.01.292-01a" xml:space="preserve">10</note>
              aperti antequam duci incipiantur, aſpiciantur, animoq́; </s>
              <s xml:id="echoid-s19455" xml:space="preserve">aduertantur, qua membratura
                <lb/>
              ſint qui circa eos fontes habitant homines. </s>
              <s xml:id="echoid-s19456" xml:space="preserve">Et ſi erunt corporibus ualentibus, coloribus
                <lb/>
              nitidis, cruribus non uitioſis, non lippis oculis, erunt probatiſsimi.</s>
              <s xml:id="echoid-s19457" xml:space="preserve"/>
            </p>
            <p style="it">
              <s xml:id="echoid-s19458" xml:space="preserve">Quia omne, quòd lædit, tempore lædit, & </s>
              <s xml:id="echoid-s19459" xml:space="preserve">poſſunt nimirum grauius lædere, quætardius ſentiuntur.</s>
              <s xml:id="echoid-s19460" xml:space="preserve"/>
            </p>
            <p>
              <s xml:id="echoid-s19461" xml:space="preserve">
                <emph style="sc">Item</emph>
              ſi fons nouus fuerit foſſus, & </s>
              <s xml:id="echoid-s19462" xml:space="preserve">in uas Corinthium, ſiue alterius generis, quòd erit ex ære bo-
                <lb/>
              no, ea aqua ſparſa maculam non fecerit, optima erit. </s>
              <s xml:id="echoid-s19463" xml:space="preserve">Itemq́; </s>
              <s xml:id="echoid-s19464" xml:space="preserve">in aheno, ſi ea aqua deferuefacta, & </s>
              <s xml:id="echoid-s19465" xml:space="preserve">
                <lb/>
              poſtea requieta, & </s>
              <s xml:id="echoid-s19466" xml:space="preserve">defuſa fuerit, neque in eius aheni fundo arena, aut limus inuenietur, ea aqua erit
                <lb/>
              item probata, Item ſi legumina in uas cum ea aqua coniecta ad ignem poſita, celeriter percocta fue-
                <lb/>
              rint, indicabunt eam aquam eſſe bonam, & </s>
              <s xml:id="echoid-s19467" xml:space="preserve">ſalubrem. </s>
              <s xml:id="echoid-s19468" xml:space="preserve">Non etiam minus ip ſa aqua, quæ erit in fon-
                <lb/>
                <note position="left" xlink:label="note-514.01.292-02" xlink:href="note-514.01.292-02a" xml:space="preserve">20</note>
              te, ſi fuerit limpida, & </s>
              <s xml:id="echoid-s19469" xml:space="preserve">perlucida, & </s>
              <s xml:id="echoid-s19470" xml:space="preserve">quocunque peruenerit, aut profluxerit, ſi muſcusnon naſcetur,
                <lb/>
              neque iuncus, neque inquinatus ab aliquo inquinamento is locus fuerit, ſed puram habuerit ſpeciem,
                <lb/>
              innuetur his ſignis efſe tenuis, & </s>
              <s xml:id="echoid-s19471" xml:space="preserve">in ſumma ſalubritate.</s>
              <s xml:id="echoid-s19472" xml:space="preserve"/>
            </p>
            <p style="it">
              <s xml:id="echoid-s19473" xml:space="preserve">Demum colore, ſapore, odoreq́; </s>
              <s xml:id="echoid-s19474" xml:space="preserve">uacare debet quæ bona & </s>
              <s xml:id="echoid-s19475" xml:space="preserve">ſalubris futura eſt aqua, immota uero ubique
                <lb/>
              inſalubris, ſtagnans peßima, quæ irudines alit, non incommoda uero, ubi anguillæ ſcatent.</s>
              <s xml:id="echoid-s19476" xml:space="preserve"/>
            </p>
          </div>
          <div xml:id="echoid-div685" type="section" level="2" n="127">
            <head xml:id="echoid-head135" xml:space="preserve">De per ductionibus, & libr ationibus aquarum, & instrumentis
              <lb/>
            ad hunc uſum. Cap. VI.</head>
            <p>
              <s xml:id="echoid-s19477" xml:space="preserve">
                <emph style="sc">NVne</emph>
              de perductionibus ad habitationes mœniaq́; </s>
              <s xml:id="echoid-s19478" xml:space="preserve">uti fieri oporteat explicabo, cuius ra-
                <lb/>
                <note position="left" xlink:label="note-514.01.292-03" xlink:href="note-514.01.292-03a" xml:space="preserve">30</note>
              tio eſt prima perlibratio. </s>
              <s xml:id="echoid-s19479" xml:space="preserve">Libratur autem dioptris, aut libris aquarijs, aut chorobate,
                <lb/>
              ſed diligentius efficitur per chorobatem, quòd dioptræ, libræq́; </s>
              <s xml:id="echoid-s19480" xml:space="preserve">fallunt. </s>
              <s xml:id="echoid-s19481" xml:space="preserve">Chorobates
                <lb/>
              autem eſt regula longa circiter pedum uiginti, ea habet ancones in capitibus extremis æ-
                <lb/>
              quali modo perfectos, inq́; </s>
              <s xml:id="echoid-s19482" xml:space="preserve">regulæ capitibus ad normam coagmentatos, & </s>
              <s xml:id="echoid-s19483" xml:space="preserve">inter regulam, & </s>
              <s xml:id="echoid-s19484" xml:space="preserve">ancones-
                <lb/>
              a cardinibus compacta tranſuerſaria, quæ habent lineas ad perpendiculum recte deſcriptas, penden-
                <lb/>
              tiaq́; </s>
              <s xml:id="echoid-s19485" xml:space="preserve">ex regula perpendicula in ſingulis partibus ſingula, quæ cum regula fuerit collocata, eaq́; </s>
              <s xml:id="echoid-s19486" xml:space="preserve">tan-
                <lb/>
              gent æquè ac pariter lineas deſcriptionis, indicabunt libratam collocationem. </s>
              <s xml:id="echoid-s19487" xml:space="preserve">Sin autem uentus in-
                <lb/>
              terpellauerit, & </s>
              <s xml:id="echoid-s19488" xml:space="preserve">motionibus lineæ non potuerint certam ſignificationem facere, tunc habeat in ſupe-
                <lb/>
              riori parte canalem longum pedes quinque, latum digitum, altum ſeſquidigitum, eoq́; </s>
              <s xml:id="echoid-s19489" xml:space="preserve">aqua infunda-
                <lb/>
              tur, & </s>
              <s xml:id="echoid-s19490" xml:space="preserve">ſi æqualiter aqua canalis ſumma libra tanget, ſcietur eſſe libratum. </s>
              <s xml:id="echoid-s19491" xml:space="preserve">Ita eo chorobate, cum per
                <lb/>
                <note position="left" xlink:label="note-514.01.292-04" xlink:href="note-514.01.292-04a" xml:space="preserve">40</note>
              libratum ita fuerit, ſcietur quantum habuerit faſtigij. </s>
              <s xml:id="echoid-s19492" xml:space="preserve">Fortaſsis qui Archimedis libros legit, dicet
                <lb/>
              non poſſe fieri ueram ex aqua librationem, quòd ei placet aquam non eſſe libratam, ſed ſphæroides
                <lb/>
              habere ſchema, & </s>
              <s xml:id="echoid-s19493" xml:space="preserve">ibi habere centrum, quo loci habet orbis terrarum. </s>
              <s xml:id="echoid-s19494" xml:space="preserve">Hoc autem (ſiue plana eſt
                <lb/>
              aqua, ſiue ſphæroides) neceſſe eſt extrema capita canalis regulæ pariter ſuſtinere aquam. </s>
              <s xml:id="echoid-s19495" xml:space="preserve">Sin autem
                <lb/>
              proclinatus erit ex una parte, quæ erit altior, non habebit regulæ canalis in ſummis labris aquam.
                <lb/>
              </s>
              <s xml:id="echoid-s19496" xml:space="preserve">Neceſſe enim eſt quocunque aqua ſit inſuſa in medio inflationem, curuaturamq́; </s>
              <s xml:id="echoid-s19497" xml:space="preserve">habere, ſed capita
                <lb/>
              dextra, ac ſiniſtra inter ſelibrata eſſe. </s>
              <s xml:id="echoid-s19498" xml:space="preserve">Exemplar autem chorobatis erit in extremo uolumine deſcri-
                <lb/>
              ptum. </s>
              <s xml:id="echoid-s19499" xml:space="preserve">Et ſi erit faſtigium magnum facilior erit decurſus aquæ. </s>
              <s xml:id="echoid-s19500" xml:space="preserve">Sin autem interualla erunt lacunoſa
                <lb/>
              ſubſtructionibus erit ſuccurrendum.</s>
              <s xml:id="echoid-s19501" xml:space="preserve"/>
            </p>
            <p style="it">
              <s xml:id="echoid-s19502" xml:space="preserve">Inuenta, & </s>
              <s xml:id="echoid-s19503" xml:space="preserve">electa aqua, neceſſe eſt ut perducatur ad mœnia, & </s>
              <s xml:id="echoid-s19504" xml:space="preserve">ad determinatum locum: </s>
              <s xml:id="echoid-s19505" xml:space="preserve">perduci uero nõ
                <lb/>
                <note position="left" xlink:label="note-514.01.292-05" xlink:href="note-514.01.292-05a" xml:space="preserve">50</note>
              poterit, niſi deſcendat aqua, & </s>
              <s xml:id="echoid-s19506" xml:space="preserve">decurrat naturali motione ad imum. </s>
              <s xml:id="echoid-s19507" xml:space="preserve">Vt igitur hoc rectè expediatur formas
                <lb/>
              inſtrumentorum deſcribit Vitr. </s>
              <s xml:id="echoid-s19508" xml:space="preserve">quibus uti poßimus ad aquarum librationem. </s>
              <s xml:id="echoid-s19509" xml:space="preserve">Inter alia præcipue unum, quod
                <lb/>
              minus fallit, eligit, & </s>
              <s xml:id="echoid-s19510" xml:space="preserve">deſcribit. </s>
              <s xml:id="echoid-s19511" xml:space="preserve">Librare igitur nil aliud eſt, quàm altitudinem loci ſumere, in quo aqua
                <lb/>
              est, eamq́ comparare, & </s>
              <s xml:id="echoid-s19512" xml:space="preserve">referre ad eius loci altitudinem, ad quem perducenda eſt. </s>
              <s xml:id="echoid-s19513" xml:space="preserve">Cum igitur locus, quo
                <lb/>
              aqua ducenda eſt, depreßior erit loco, a quo erit caput aquæ, procul dubio commodè perducetur. </s>
              <s xml:id="echoid-s19514" xml:space="preserve">Libratur
                <lb/>
              aqua dioptris, & </s>
              <s xml:id="echoid-s19515" xml:space="preserve">libris aquarijs, & </s>
              <s xml:id="echoid-s19516" xml:space="preserve">inſtrumento, quod alij chorobaten uocant. </s>
              <s xml:id="echoid-s19517" xml:space="preserve">Geometræ aũt(ut Albertus
                <lb/>
              ait ) aſſirmant, quod ſi linea recta orbem terræ contigerit, & </s>
              <s xml:id="echoid-s19518" xml:space="preserve">ad mille paſſus protenſa fuerit, interuallum,
                <lb/>
              quod erit inter lineam, & </s>
              <s xml:id="echoid-s19519" xml:space="preserve">ambitum, orbemq́; </s>
              <s xml:id="echoid-s19520" xml:space="preserve">terræ non plus denos excedere digitos, unde factum, ut ſi quis
                <lb/>
              ſulco aquam ducere uelit, aqua non moueatur in ſingulis millibus, niſi depreßiori libramento pedem integrum,
                <lb/>
              quam fuerit locus, unde primum ſulcus fieri cœperit, qui locus a iuris peritis incile dicitur ab inciſione prima
                <lb/>
                <note position="left" xlink:label="note-514.01.292-06" xlink:href="note-514.01.292-06a" xml:space="preserve">60</note>
              </s>
            </p>
          </div>
        </div>
      </text>
    </echo>