Vitruvius, De architectura libri decem, 1567

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            <pb o="308" file="514.01.340" n="340" rhead="LIBER"/>
            <p style="it">
              <s xml:id="echoid-s23360" xml:space="preserve">Finitoris termini ſunt c. </s>
              <s xml:id="echoid-s23361" xml:space="preserve">& </s>
              <s xml:id="echoid-s23362" xml:space="preserve">i. </s>
              <s xml:id="echoid-s23363" xml:space="preserve">Tropicorum g. </s>
              <s xml:id="echoid-s23364" xml:space="preserve">& </s>
              <s xml:id="echoid-s23365" xml:space="preserve">h. </s>
              <s xml:id="echoid-s23366" xml:space="preserve">hi in oppoſita parte lineis coniungendi ſunt in
                <lb/>
              ſignis k & </s>
              <s xml:id="echoid-s23367" xml:space="preserve">l. </s>
              <s xml:id="echoid-s23368" xml:space="preserve">eas autem lineas Vitruuius diametros appellat, ſunt enim ſuturæ diametri ſuorum hemicy-
                <lb/>
              cliorum. </s>
              <s xml:id="echoid-s23369" xml:space="preserve">ideo inquit.</s>
              <s xml:id="echoid-s23370" xml:space="preserve"/>
            </p>
            <p>
              <s xml:id="echoid-s23371" xml:space="preserve">
                <emph style="sc">Qvae</emph>
              diametri ſunt æquè mediæ diuidendæ, ubi erunt literæ m. </s>
              <s xml:id="echoid-s23372" xml:space="preserve">& </s>
              <s xml:id="echoid-s23373" xml:space="preserve">o. </s>
              <s xml:id="echoid-s23374" xml:space="preserve">ibiq; </s>
              <s xml:id="echoid-s23375" xml:space="preserve">centra ſignanda,
                <lb/>
              & </s>
              <s xml:id="echoid-s23376" xml:space="preserve">per ea ſigna, & </s>
              <s xml:id="echoid-s23377" xml:space="preserve">centrum a. </s>
              <s xml:id="echoid-s23378" xml:space="preserve">linea ad extremas lineas circinationis eſt perducenda, ubi crunt literæ
                <lb/>
              p q. </s>
              <s xml:id="echoid-s23379" xml:space="preserve">Hæc erit linea pros orthas radio æquinoctiali. </s>
              <s xml:id="echoid-s23380" xml:space="preserve">uocabitur autem hæc linea Mathematicis ratio-
                <lb/>
              nibus Axon: </s>
              <s xml:id="echoid-s23381" xml:space="preserve">& </s>
              <s xml:id="echoid-s23382" xml:space="preserve">ab eiſdem centris, diducto circino ad extremas diametros, deſcribantur hemicyclia
                <lb/>
              duo, quorum unum erit æſtiuum alterum hybcrnum.</s>
              <s xml:id="echoid-s23383" xml:space="preserve"/>
            </p>
            <p style="it">
              <s xml:id="echoid-s23384" xml:space="preserve">Ecce quám ſcite neceſſarios ſphæræ circulos, & </s>
              <s xml:id="echoid-s23385" xml:space="preserve">dimetientes ad analemma deducit Vitru. </s>
              <s xml:id="echoid-s23386" xml:space="preserve">axis ergo mundi
                <lb/>
                <note position="left" xlink:label="note-514.01.340-01" xlink:href="note-514.01.340-01a" xml:space="preserve">10</note>
              per lineam q m a o p. </s>
              <s xml:id="echoid-s23387" xml:space="preserve">deſignabitur. </s>
              <s xml:id="echoid-s23388" xml:space="preserve">Tropicus Cancri ſuper diametrum r o k. </s>
              <s xml:id="echoid-s23389" xml:space="preserve">Capricorni ſupra g
                <lb/>
              m l. </s>
              <s xml:id="echoid-s23390" xml:space="preserve">radius æquinoctialis c f a n. </s>
              <s xml:id="echoid-s23391" xml:space="preserve">finitor e a i. </s>
              <s xml:id="echoid-s23392" xml:space="preserve">meridianus f q n p.</s>
              <s xml:id="echoid-s23393" xml:space="preserve"/>
            </p>
            <p style="it">
              <s xml:id="echoid-s23394" xml:space="preserve">Deinde in quibus locis ſecant lineæ parallelæ lineam eam, quæ dicitur Horizon, in dexteriore par-
                <lb/>
              teerit litera s. </s>
              <s xml:id="echoid-s23395" xml:space="preserve">in ſiniſteriore u. </s>
              <s xml:id="echoid-s23396" xml:space="preserve">ideſt ubi tropicorum diametri finitorem ſecant, ex una parte s. </s>
              <s xml:id="echoid-s23397" xml:space="preserve">ex
                <lb/>
              alia ſigſtetur u. </s>
              <s xml:id="echoid-s23398" xml:space="preserve">Hic uero animaduertendum eſt, ſegmenta illa os̃tendere, quantum circinationis eorum cir-
                <lb/>
              culorum extet ſupra finitorem, quanto uero ſubſit. </s>
              <s xml:id="echoid-s23399" xml:space="preserve">unde dierum quantitas ex illis arcubus deprehendetur,
                <lb/>
              ut patebit inferius.</s>
              <s xml:id="echoid-s23400" xml:space="preserve"/>
            </p>
            <p style="it">
              <s xml:id="echoid-s23401" xml:space="preserve">Et ab extremo hemicyclio ubi eſt litera g, ducatur linea parallelos axoni ad ſiniſtrum hemicy-
                <lb/>
              clium, ubi eſt litera h. </s>
              <s xml:id="echoid-s23402" xml:space="preserve">Hęc autem parallelos linea uocitatur Lacotomus. </s>
              <s xml:id="echoid-s23403" xml:space="preserve">ideſt linea, quæ amplitu-
                <lb/>
              dinem præfinit, quoniam ea linea ab uno ad alium tropicum traijcitur, & </s>
              <s xml:id="echoid-s23404" xml:space="preserve">integrum declinationis Solis inter-
                <lb/>
              uallum complectitur, intra quod interuallum reliquorum ſignorum declinationes collocandæ ſunt.</s>
              <s xml:id="echoid-s23405" xml:space="preserve"/>
            </p>
            <note position="left" xml:space="preserve">20</note>
            <p>
              <s xml:id="echoid-s23406" xml:space="preserve">Et tum circini centrum collocandum eſt eo loci, quo ſecat eam lineam æ quinoctialis radius, ubi
                <lb/>
              erit litera x, & </s>
              <s xml:id="echoid-s23407" xml:space="preserve">deducendum ad eum locum, quo ſecat circinationem æſtiuus radius, ubi eſt litera
                <lb/>
              h. </s>
              <s xml:id="echoid-s23408" xml:space="preserve">& </s>
              <s xml:id="echoid-s23409" xml:space="preserve">centro æquinoctiali interuallo æſtiuo circinatio circuli menſtruiagatur, qui Monachus d ici-
                <lb/>
              tur. </s>
              <s xml:id="echoid-s23410" xml:space="preserve">Ita habeitur analemmatos deformatio.</s>
              <s xml:id="echoid-s23411" xml:space="preserve"/>
            </p>
            <p style="it">
              <s xml:id="echoid-s23412" xml:space="preserve">Linea latitudinis Lacotomus appellata diameter est eius circuli,ex quo radij menſtrui meridiani ſumuntur,
                <lb/>
              qui circulus, dictus est monachus, & </s>
              <s xml:id="echoid-s23413" xml:space="preserve">ut arbitror ego mœnachus dicendus est.</s>
              <s xml:id="echoid-s23414" xml:space="preserve">ut qui radios meridianos ſin-
                <lb/>
              gulorum menſium contineat. </s>
              <s xml:id="echoid-s23415" xml:space="preserve">Alij miniæum dixere quod menſtruum Vitr. </s>
              <s xml:id="echoid-s23416" xml:space="preserve">appellat. </s>
              <s xml:id="echoid-s23417" xml:space="preserve">nam Græce min, menſem
                <lb/>
              ſignificat. </s>
              <s xml:id="echoid-s23418" xml:space="preserve">deſcribitur circulus hic poſito centro in ſectione lacotomi, & </s>
              <s xml:id="echoid-s23419" xml:space="preserve">æquinoctialis in ſigno x. </s>
              <s xml:id="echoid-s23420" xml:space="preserve">& </s>
              <s xml:id="echoid-s23421" xml:space="preserve">diducto
                <lb/>
              ad extrema lacotomi. </s>
              <s xml:id="echoid-s23422" xml:space="preserve">diuiditur is circulus in partes æquas duodenas, ſi tantum initia ſignorum quærimus. </s>
              <s xml:id="echoid-s23423" xml:space="preserve">nã
                <lb/>
              ſi alios uelimus radios collocare decumarum, uel aliarum partium ſignorum, plures erunt diuiſiones facien-
                <lb/>
                <note position="left" xlink:label="note-514.01.340-03" xlink:href="note-514.01.340-03a" xml:space="preserve">30</note>
              dæ. </s>
              <s xml:id="echoid-s23424" xml:space="preserve">diuiſo igitur eo circulo in partes duo denas, ducendæ ſunt lineæ per eas partes æque dis̃tantes diametris
                <lb/>
              tropicorum ad circinationis meridianæ lineam, & </s>
              <s xml:id="echoid-s23425" xml:space="preserve">ab altero extremorum illarum per apicem gnomonis per-
                <lb/>
              ducendæ ſunt ad lineam planitiæ. </s>
              <s xml:id="echoid-s23426" xml:space="preserve">& </s>
              <s xml:id="echoid-s23427" xml:space="preserve">ita umbrarum meridianarum longitudines, ex ſuis cuiuſque radijs erunt
                <lb/>
              præfinitæ, & </s>
              <s xml:id="echoid-s23428" xml:space="preserve">analemma conſtructum.</s>
              <s xml:id="echoid-s23429" xml:space="preserve"/>
            </p>
            <p>
              <s xml:id="echoid-s23430" xml:space="preserve">
                <emph style="sc">Cvm</emph>
              hoc ita ſit deſcriptum, & </s>
              <s xml:id="echoid-s23431" xml:space="preserve">explicatum, ſiue per hybernas lineas, ſiue per æſtiuas, ſiue per æ-
                <lb/>
              quinoctiales, aut etiam per menſtruas, in ſubiectionibus rationes horarum erunt, ex analemmatis de-
                <lb/>
              ſcribendæ, ſubijcienturq́; </s>
              <s xml:id="echoid-s23432" xml:space="preserve">in eo multæ uarietates, & </s>
              <s xml:id="echoid-s23433" xml:space="preserve">genera horologiorum, & </s>
              <s xml:id="echoid-s23434" xml:space="preserve">deſcribentur rationibus
                <lb/>
              his artificioſis. </s>
              <s xml:id="echoid-s23435" xml:space="preserve">omnium autem figurarum, deſcriptionumq́; </s>
              <s xml:id="echoid-s23436" xml:space="preserve">earum effectus unus, uti dies æquinoctia-
                <lb/>
              lis, brumalisq́;</s>
              <s xml:id="echoid-s23437" xml:space="preserve">, itemq́; </s>
              <s xml:id="echoid-s23438" xml:space="preserve">ſolſtitialis in duodecim partes æqualiter ſit diuiſus. </s>
              <s xml:id="echoid-s23439" xml:space="preserve">Quas res non pigritia de-
                <lb/>
              territus,prætermiſsi, ſed ne multa ſcribendo offendam, a quibusq́; </s>
              <s xml:id="echoid-s23440" xml:space="preserve">inuenta ſunt genera, deſcriptio-
                <lb/>
                <note position="left" xlink:label="note-514.01.340-04" xlink:href="note-514.01.340-04a" xml:space="preserve">40</note>
              nesq́; </s>
              <s xml:id="echoid-s23441" xml:space="preserve">horologiorum, exponam. </s>
              <s xml:id="echoid-s23442" xml:space="preserve">Neque nunc noua genera inuenire poſſum, nec aliena pro meis præ-
                <lb/>
              dicanda uidentur.</s>
              <s xml:id="echoid-s23443" xml:space="preserve"/>
            </p>
            <p style="it">
              <s xml:id="echoid-s23444" xml:space="preserve">Non ſolum ab æquinoctialibus radijs deſcribendi analemmatis rationem ſumere poſſumus, ſed a quolibet
                <lb/>
              alio ſigni radio meridiano. </s>
              <s xml:id="echoid-s23445" xml:space="preserve">nam ſi ſumatur æstiuus, uel brumalis radius in ſua altitudine meridiana: </s>
              <s xml:id="echoid-s23446" xml:space="preserve">cum com-
                <lb/>
              pertum ſit æquinoctialem radium ab illis diſtare gradus uiginti tres, & </s>
              <s xml:id="echoid-s23447" xml:space="preserve">dimidium, ſtatim eumponemus in ana-
                <lb/>
              lemmate, ac demum cognita cuiuſuis radij declinatione a quocunque libuerit incipere nobis integrum erit
                <lb/>
              analemma conficere. </s>
              <s xml:id="echoid-s23448" xml:space="preserve">{Omnium autem figurarum, deſcriptionumq́; </s>
              <s xml:id="echoid-s23449" xml:space="preserve">earum effectus.</s>
              <s xml:id="echoid-s23450" xml:space="preserve">} Hic palàm oſtendit
                <lb/>
              Vitr. </s>
              <s xml:id="echoid-s23451" xml:space="preserve">antiquos in partes duodenas quemlibet diem distribuiſſe, ideo horologia, & </s>
              <s xml:id="echoid-s23452" xml:space="preserve">eorum analẽmata hac mẽte
                <lb/>
              conficiebant, ut duodecim diei partes os̃tenderent; </s>
              <s xml:id="echoid-s23453" xml:space="preserve">quod ex ſacris etiam literis habetur, interrogante domino:
                <lb/>
              </s>
              <s xml:id="echoid-s23454" xml:space="preserve">Nonne duodecim ſunt horæ diei: </s>
              <s xml:id="echoid-s23455" xml:space="preserve">hæc genera horarum κεριαί dicebantur, alij planetarum horas illas uoca-
                <lb/>
                <note position="left" xlink:label="note-514.01.340-05" xlink:href="note-514.01.340-05a" xml:space="preserve">50</note>
              bant, quod ſerie quadam ſingulis planetæ dominabantur. </s>
              <s xml:id="echoid-s23456" xml:space="preserve">ſunt quoque nonnulli, quieas inæquales μocant,
                <lb/>
              quoniam h odiernæ hes̃ternis non æquantur, nec æſtiuæ hybernis, nec nocturnæ diurnis pares ſunt. </s>
              <s xml:id="echoid-s23457" xml:space="preserve">Sed mitta-
                <lb/>
              mus nomina, modo constet de rebus. </s>
              <s xml:id="echoid-s23458" xml:space="preserve">Sed quid, per ea intelligit Vitr. </s>
              <s xml:id="echoid-s23459" xml:space="preserve">cum dicit { ſubijcienturq́; </s>
              <s xml:id="echoid-s23460" xml:space="preserve">in eo multæ
                <lb/>
              uarietates? </s>
              <s xml:id="echoid-s23461" xml:space="preserve">quomodo in uno horarum genere uarietas erit? </s>
              <s xml:id="echoid-s23462" xml:space="preserve">} reſpondetur: </s>
              <s xml:id="echoid-s23463" xml:space="preserve">Vnum planè genus horarum eſſe,
                <lb/>
              ſed uarietas erat ratione planorum, in quibus horologia deſcribebantur, & </s>
              <s xml:id="echoid-s23464" xml:space="preserve">etiam diuerſitas figurarum, ut
                <lb/>
              inuentoribus placebat, eam uarietatem faciebat, quod ſequenti capite oſtendetur. </s>
              <s xml:id="echoid-s23465" xml:space="preserve">Sed quomodo omnium fi-
                <lb/>
              gurarum deſeriptionemq́; </s>
              <s xml:id="echoid-s23466" xml:space="preserve">earum ſit effectus unus, uti dies æquinoctialis, brumalis, itemq́; </s>
              <s xml:id="echoid-s23467" xml:space="preserve">ſolſtitialis in duo-
                <lb/>
              decim partes æqualiter diuidatur, dicam postea. </s>
              <s xml:id="echoid-s23468" xml:space="preserve">interim modeſtiam Vitruuij amplectere, & </s>
              <s xml:id="echoid-s23469" xml:space="preserve">candorem animi
                <lb/>
              diligito, qui aliena pro ſuis prædicanda non cenſet. </s>
              <s xml:id="echoid-s23470" xml:space="preserve">Hanc ego imitabor, & </s>
              <s xml:id="echoid-s23471" xml:space="preserve">hortabor alios, ut imitentur, ne
                <lb/>
              ſibi quiſque,quod minimum quid ad antiquorum inuentiones addiderit, integra instrumenta arroget. </s>
              <s xml:id="echoid-s23472" xml:space="preserve">obrui-
                <lb/>
                <note position="left" xlink:label="note-514.01.340-06" xlink:href="note-514.01.340-06a" xml:space="preserve">60</note>
              </s>
            </p>
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