Vitruvius, De architectura libri decem, 1567

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          <div xml:id="echoid-div780" type="section" level="2" n="143">
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              <s xml:id="echoid-s24681" xml:space="preserve">
                <pb o="323" file="514.01.355" n="355" rhead="NONVS"/>
              diſtantes ſormaueris in præſcripta deſignatione, & </s>
              <s xml:id="echoid-s24682" xml:space="preserve">ab a. </s>
              <s xml:id="echoid-s24683" xml:space="preserve">ad ſubiectam lineam plani radios duxeris, & </s>
              <s xml:id="echoid-s24684" xml:space="preserve">cir-
                <lb/>
              culos deſumpſeris, habebis centrum, & </s>
              <s xml:id="echoid-s24685" xml:space="preserve">ſemidiametros aliorum circulorum, quod etiam analemma Vitruuia-
                <lb/>
              num docere poteſt. </s>
              <s xml:id="echoid-s24686" xml:space="preserve">atque hoc eſt quod Vitr. </s>
              <s xml:id="echoid-s24687" xml:space="preserve">dicit { in ea circuli ſunt circundati menſtrua ſpatia finientes. </s>
              <s xml:id="echoid-s24688" xml:space="preserve">}
                <lb/>
              nam deſcripti circuli menſtrua ſpatia deſiniunt, ex ijs tamen in aſtrolabijs tres tantum ponuntur, brumæ a
                <lb/>
              b c i. </s>
              <s xml:id="echoid-s24689" xml:space="preserve">ſolstilij i k l m. </s>
              <s xml:id="echoid-s24690" xml:space="preserve">æquinoctij. </s>
              <s xml:id="echoid-s24691" xml:space="preserve">e f g h. </s>
              <s xml:id="echoid-s24692" xml:space="preserve">Vt uero horas deſcribas, oportet primo horizonta de-
                <lb/>
              ſcribere. </s>
              <s xml:id="echoid-s24693" xml:space="preserve">ſit in præaſſumpto circulo horizontis diameter n e o. </s>
              <s xml:id="echoid-s24694" xml:space="preserve">ducito ab a. </s>
              <s xml:id="echoid-s24695" xml:space="preserve">per o. </s>
              <s xml:id="echoid-s24696" xml:space="preserve">ad q. </s>
              <s xml:id="echoid-s24697" xml:space="preserve">radium, ſi-
                <lb/>
              militer ab a. </s>
              <s xml:id="echoid-s24698" xml:space="preserve">per n. </s>
              <s xml:id="echoid-s24699" xml:space="preserve">ad p. </s>
              <s xml:id="echoid-s24700" xml:space="preserve">dico ſpatium q p. </s>
              <s xml:id="echoid-s24701" xml:space="preserve">in linea planitiæ reſerre integram diametrum horizontis
                <lb/>
              in plano collocandi, ſume igitur circino dimidium ſpatij q p. </s>
              <s xml:id="echoid-s24702" xml:space="preserve">& </s>
              <s xml:id="echoid-s24703" xml:space="preserve">illud ſeruato. </s>
              <s xml:id="echoid-s24704" xml:space="preserve">inde ab c. </s>
              <s xml:id="echoid-s24705" xml:space="preserve">in h. </s>
              <s xml:id="echoid-s24706" xml:space="preserve">ſignato
                <lb/>
              cardinis altitudinem in tua regione, quæ Venetijs eſt grad. </s>
              <s xml:id="echoid-s24707" xml:space="preserve">45. </s>
              <s xml:id="echoid-s24708" xml:space="preserve">& </s>
              <s xml:id="echoid-s24709" xml:space="preserve">ibi pone literam n. </s>
              <s xml:id="echoid-s24710" xml:space="preserve">inde applicatare-
                <lb/>
                <note position="left" xlink:label="note-514.01.355-01" xlink:href="note-514.01.355-01a" xml:space="preserve">10</note>
              gula puncto g. </s>
              <s xml:id="echoid-s24711" xml:space="preserve">& </s>
              <s xml:id="echoid-s24712" xml:space="preserve">extenſa ad literam n. </s>
              <s xml:id="echoid-s24713" xml:space="preserve">duc lineam occultam. </s>
              <s xml:id="echoid-s24714" xml:space="preserve">hæc ubi ſecabit lineam b c. </s>
              <s xml:id="echoid-s24715" xml:space="preserve">ostendet ter-
                <lb/>
              minum horizontis. </s>
              <s xml:id="echoid-s24716" xml:space="preserve">Sit igitur ille terminus in o. </s>
              <s xml:id="echoid-s24717" xml:space="preserve">puncto. </s>
              <s xml:id="echoid-s24718" xml:space="preserve">ſume igitur cirinum iam diductum ad menſuram
                <lb/>
              mediæ lineæ p q. </s>
              <s xml:id="echoid-s24719" xml:space="preserve">& </s>
              <s xml:id="echoid-s24720" xml:space="preserve">poſito centro in linea b c. </s>
              <s xml:id="echoid-s24721" xml:space="preserve">ſuperiori ex parte, alterum ad terminum horizontis o.
                <lb/>
              </s>
              <s xml:id="echoid-s24722" xml:space="preserve">deducito. </s>
              <s xml:id="echoid-s24723" xml:space="preserve">& </s>
              <s xml:id="echoid-s24724" xml:space="preserve">lineam circinationis efficito p o q. </s>
              <s xml:id="echoid-s24725" xml:space="preserve">quæſi rectè constiterit per ſigna e. </s>
              <s xml:id="echoid-s24726" xml:space="preserve">& </s>
              <s xml:id="echoid-s24727" xml:space="preserve">quæ ad unguem
                <lb/>
              permeabit, hæc linea horizontem tuæ regionis tibi dabit in plano, diuidetq́; </s>
              <s xml:id="echoid-s24728" xml:space="preserve">omnes circulos menſtruos ſuis in
                <lb/>
              locis, ita uidebis partem æquatoris dimidiam e f g. </s>
              <s xml:id="echoid-s24729" xml:space="preserve">ſupra horizontem, partem uero alteram dimidiam e
                <lb/>
              h g. </s>
              <s xml:id="echoid-s24730" xml:space="preserve">infra poſitam: </s>
              <s xml:id="echoid-s24731" xml:space="preserve">pari rationi partem p b q. </s>
              <s xml:id="echoid-s24732" xml:space="preserve">Capricorni, ſupra partem uero p c d. </s>
              <s xml:id="echoid-s24733" xml:space="preserve">infra, & </s>
              <s xml:id="echoid-s24734" xml:space="preserve">Cancri
                <lb/>
              parallelum quoque ita diuiſum, ut maiorem partem ſupra minorem infra horizontem habeat. </s>
              <s xml:id="echoid-s24735" xml:space="preserve">His ita deſcri-
                <lb/>
              ptis, deſignantur horæ hunc in modum. </s>
              <s xml:id="echoid-s24736" xml:space="preserve">partire omnes parallelorum arcus in duodecim partes ſiue ſint ſupra,
                <lb/>
              ſiue infra horizontem, & </s>
              <s xml:id="echoid-s24737" xml:space="preserve">diuiſionum puncta lineis reſpondentibus coniunge, ita deſoribes horarias lineas,
                <lb/>
                <note position="left" xlink:label="note-514.01.355-02" xlink:href="note-514.01.355-02a" xml:space="preserve">20</note>
              quemadmodum in ſubſcripto di agrammate uides. </s>
              <s xml:id="echoid-s24738" xml:space="preserve">in quo k o. </s>
              <s xml:id="echoid-s24739" xml:space="preserve">horizon eſt. </s>
              <s xml:id="echoid-s24740" xml:space="preserve">b f d. </s>
              <s xml:id="echoid-s24741" xml:space="preserve">meridianus. </s>
              <s xml:id="echoid-s24742" xml:space="preserve">nam cir-
                <lb/>
              culi qui per polos in ſphæra tranſeunt, rectis lineis in plano proij ciuntur. </s>
              <s xml:id="echoid-s24743" xml:space="preserve">Cum enim in polo ſit uiſus, & </s>
              <s xml:id="echoid-s24744" xml:space="preserve">per
                <lb/>
              polos tranſeat meridianus, quia uiſus ſit non uidet, ideo ſolum punctum, in quo eſt uiſus in planum proijci non
                <lb/>
              potest. </s>
              <s xml:id="echoid-s24745" xml:space="preserve">Similiter a g. </s>
              <s xml:id="echoid-s24746" xml:space="preserve">recta linea circulum colurum referet a. </s>
              <s xml:id="echoid-s24747" xml:space="preserve">orientis g. </s>
              <s xml:id="echoid-s24748" xml:space="preserve">occidentis puncta dabit.
                <lb/>
              </s>
              <s xml:id="echoid-s24749" xml:space="preserve">s. </s>
              <s xml:id="echoid-s24750" xml:space="preserve">uero h k. </s>
              <s xml:id="echoid-s24751" xml:space="preserve">& </s>
              <s xml:id="echoid-s24752" xml:space="preserve">Z. </s>
              <s xml:id="echoid-s24753" xml:space="preserve">æquinoctialem dabit, reliqui paralleli ſuis ſinguli ſignis tribuentur. </s>
              <s xml:id="echoid-s24754" xml:space="preserve">& </s>
              <s xml:id="echoid-s24755" xml:space="preserve">horæ
                <lb/>
              ut vides lineolis ſubijcientur, quas in horologio æris regulis deduces. </s>
              <s xml:id="echoid-s24756" xml:space="preserve">ſpatia uero umbris deſcripta perforata
                <lb/>
              eſſe debent, & </s>
              <s xml:id="echoid-s24757" xml:space="preserve">declinata, ut cœli, ſigniferiq́; </s>
              <s xml:id="echoid-s24758" xml:space="preserve">deſcriptio in alio tympano collocata, per foramina uideri poßint. </s>
              <s xml:id="echoid-s24759" xml:space="preserve">
                <lb/>
              Tympanum uero illud ſuas habet ſubiectiones ex eadem ratione optices deſumptas. </s>
              <s xml:id="echoid-s24760" xml:space="preserve">Longum uero eſſet eas de-
                <lb/>
              ducere, ut ratio poſtulat, ſatis eſt ſolos eos circulos ſphæræ, qui per eius polos tranſeunt, in planum rectis lineis
                <lb/>
              proijci, reliquos per orbes repræſentari. </s>
              <s xml:id="echoid-s24761" xml:space="preserve">Rectum. </s>
              <s xml:id="echoid-s24762" xml:space="preserve">ideſt æquinoctialem, & </s>
              <s xml:id="echoid-s24763" xml:space="preserve">omnes illi parallelos eundem cen-
                <lb/>
              trum habere. </s>
              <s xml:id="echoid-s24764" xml:space="preserve">obliquos ſiue maiores, ſiue minores non eodem centro in plano ſubijci. </s>
              <s xml:id="echoid-s24765" xml:space="preserve">deſcribitur ergo ſigni-
                <lb/>
                <note position="left" xlink:label="note-514.01.355-03" xlink:href="note-514.01.355-03a" xml:space="preserve">30</note>
              fer, & </s>
              <s xml:id="echoid-s24766" xml:space="preserve">ſydera in tympano collocantur, eo modo, quo in Astrolabij reticulo imponuntur. </s>
              <s xml:id="echoid-s24767" xml:space="preserve">deſcribe primus tro-
                <lb/>
              picum Capricorni, æquatorem, & </s>
              <s xml:id="echoid-s24768" xml:space="preserve">tropicum Cancri, eadem ratione, qua ſuperiorem tabellam deſcripſiſti, ita
                <lb/>
              ut omnes hi circuli æquabili magnitudine in utraque tabella conſpiciantur. </s>
              <s xml:id="echoid-s24769" xml:space="preserve">Sumito medium ſpatium inter b.
                <lb/>
              </s>
              <s xml:id="echoid-s24770" xml:space="preserve">& </s>
              <s xml:id="echoid-s24771" xml:space="preserve">+. </s>
              <s xml:id="echoid-s24772" xml:space="preserve">& </s>
              <s xml:id="echoid-s24773" xml:space="preserve">poſito centro in linea b f d. </s>
              <s xml:id="echoid-s24774" xml:space="preserve">ducito lineam circinationis, quæ puncta b. </s>
              <s xml:id="echoid-s24775" xml:space="preserve">& </s>
              <s xml:id="echoid-s24776" xml:space="preserve">x. </s>
              <s xml:id="echoid-s24777" xml:space="preserve">tangat, hæc ſi
                <lb/>
              rectè ducta fuerit æquatorem ſecabit in oriente, & </s>
              <s xml:id="echoid-s24778" xml:space="preserve">occidente, quemadmodum horizon. </s>
              <s xml:id="echoid-s24779" xml:space="preserve">nam hæc linea eclipti-
                <lb/>
              cam tibi dabit in plano, quæ cum ſit unus ex maioribus circulis, quemadmodum horizon, duas in partes ſe-
                <lb/>
              care debet æquatorem. </s>
              <s xml:id="echoid-s24780" xml:space="preserve">Ecliptica deſignata duodecim in partes diuidenda eſt, ut e centro deformetur cuiuſ-
                <lb/>
              libet ſigni ſpatium, unum maius, alterum minus, ut ait Vitr. </s>
              <s xml:id="echoid-s24781" xml:space="preserve">id igitur hac ratione faciendum est. </s>
              <s xml:id="echoid-s24782" xml:space="preserve">Aequatorem
                <lb/>
              per gradus 360. </s>
              <s xml:id="echoid-s24783" xml:space="preserve">diuide a puncto s. </s>
              <s xml:id="echoid-s24784" xml:space="preserve">orientis uerſus ſeptentrionem per meridiem ad eundem reuertendo nu-
                <lb/>
              merato aſcenſionem rectam ſignorum ex tabula ſua, uidebis Arietis ſignum integrum integrum oriri cum 27. </s>
              <s xml:id="echoid-s24785" xml:space="preserve">
                <lb/>
                <note position="left" xlink:label="note-514.01.355-04" xlink:href="note-514.01.355-04a" xml:space="preserve">40</note>
              grad. </s>
              <s xml:id="echoid-s24786" xml:space="preserve">& </s>
              <s xml:id="echoid-s24787" xml:space="preserve">54. </s>
              <s xml:id="echoid-s24788" xml:space="preserve">minutis æquatoris. </s>
              <s xml:id="echoid-s24789" xml:space="preserve">numera illos in æquatore ab eodem puncto s. </s>
              <s xml:id="echoid-s24790" xml:space="preserve">eodem ordine, & </s>
              <s xml:id="echoid-s24791" xml:space="preserve">in termino
                <lb/>
              fac notam ita in tabella gradus 57. </s>
              <s xml:id="echoid-s24792" xml:space="preserve">& </s>
              <s xml:id="echoid-s24793" xml:space="preserve">minuta 48. </s>
              <s xml:id="echoid-s24794" xml:space="preserve">reperies pro aſcenſione Tauri, eos & </s>
              <s xml:id="echoid-s24795" xml:space="preserve">in æquatore ſi-
                <lb/>
              gnato, idem facies pro reliquis ſignornm, uel ſi libert & </s>
              <s xml:id="echoid-s24796" xml:space="preserve">pro ſingulis ſignorum partibus, & </s>
              <s xml:id="echoid-s24797" xml:space="preserve">a centro f. </s>
              <s xml:id="echoid-s24798" xml:space="preserve">ad eos
                <lb/>
              terminos æquatoris ducito lineas, quæ eclipticem in partes reſpondentes ſecabunt. </s>
              <s xml:id="echoid-s24799" xml:space="preserve">Ecliptica uero æerea lineola
                <lb/>
              deſcripta ſit, & </s>
              <s xml:id="echoid-s24800" xml:space="preserve">perforetur in ſingulis gradibus, ſigradus omnes, uel in decanis, ſi decanis tantum contentus
                <lb/>
              fueris. </s>
              <s xml:id="echoid-s24801" xml:space="preserve">in ea foramina quotidie bulla intrabit ex uno in aliud, bulla uero Solem referet, in ſigna uel ſignorum
                <lb/>
              partes contrario cœli motu ingredientem. </s>
              <s xml:id="echoid-s24802" xml:space="preserve">Eclipticæ circuli addentur, ut ſigna ſuis ſpatijs deſcribantur,
                <lb/>
              quemadmodum in ſubiecto diagrammate uidetur. </s>
              <s xml:id="echoid-s24803" xml:space="preserve">Stellæ quoque imponentur, ut in rete Astrolabij facere
                <lb/>
              ſolent. </s>
              <s xml:id="echoid-s24804" xml:space="preserve">Tympanum hoc ita deſcribito, post horologium collocandum est, quotidie integram uerſationem ab-
                <lb/>
              ſoluet, ſed bulla ſingulis diebus unicum gradum in ſuo foramine ſubire cogetur, horas oſtendet, ut dierum ra-
                <lb/>
                <note position="left" xlink:label="note-514.01.355-05" xlink:href="note-514.01.355-05a" xml:space="preserve">50</note>
              tio postulabit. </s>
              <s xml:id="echoid-s24805" xml:space="preserve">Vt uero ad aquæ rationem accommodetur Vitr. </s>
              <s xml:id="echoid-s24806" xml:space="preserve">docet. </s>
              <s xml:id="echoid-s24807" xml:space="preserve">ſed nos primum figuras prædictorum ap-
                <lb/>
              pingamus: </s>
              <s xml:id="echoid-s24808" xml:space="preserve">Tabellam uero aſcenſionum rectarum in fine decimi libri collocabitur.</s>
              <s xml:id="echoid-s24809" xml:space="preserve"/>
            </p>
            <p>
              <s xml:id="echoid-s24810" xml:space="preserve">
                <emph style="sc">Posteriori</emph>
              autem parti tympano medio, axis uerſatilis eſt incluſus, inq́ eo axi ænea mollis ca-
                <lb/>
              tena eſt inuoluta: </s>
              <s xml:id="echoid-s24811" xml:space="preserve">ex qua pendet ex una parte phellos, ſiue tympanum, quod ab aqua ſubleuatur, ex
                <lb/>
              altera æquo pondere phelli ſacoma ſaburrale. </s>
              <s xml:id="echoid-s24812" xml:space="preserve">Ita quantum ab aqua phellos ſubleuatur, tantum ſa-
                <lb/>
              burræ pondus infra deducens uerſat axem, axis autem tympanum, cuius tympani uerſatio aliàs effi-
                <lb/>
              cit uti maior pars circuli ſigniferi, aliàs minor in uerſationibus ſuis temporibus deſignet horarum
                <lb/>
              proprietates. </s>
              <s xml:id="echoid-s24813" xml:space="preserve">Nanque in ſingulis ſignis ſui cuiuſque menſis dierum numeri caua ſunt perfecta, cuius
                <lb/>
              bulla, quae Solis imaginem in horologijs tenere uidetur, ſigniſicat horarum ſpatia: </s>
              <s xml:id="echoid-s24814" xml:space="preserve">ea translata ex te-
                <lb/>
              rebratione in terebrationem menſis uertentis perſicit curſum ſuum. </s>
              <s xml:id="echoid-s24815" xml:space="preserve">Itaque quemadmodum Sol per
                <lb/>
                <note position="left" xlink:label="note-514.01.355-06" xlink:href="note-514.01.355-06a" xml:space="preserve">60</note>
              </s>
            </p>
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