Vitruvius, De architectura libri decem, 1567

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          <div xml:id="echoid-div769" type="section" level="2" n="142">
            <p>
              <s xml:id="echoid-s23643" xml:space="preserve">
                <pb o="311" file="514.01.343" n="343" rhead="NONVS."/>
              f g, facti. </s>
              <s xml:id="echoid-s23644" xml:space="preserve">& </s>
              <s xml:id="echoid-s23645" xml:space="preserve">t. </s>
              <s xml:id="echoid-s23646" xml:space="preserve">centrum in diametro k l. </s>
              <s xml:id="echoid-s23647" xml:space="preserve">& </s>
              <s xml:id="echoid-s23648" xml:space="preserve">u. </s>
              <s xml:id="echoid-s23649" xml:space="preserve">demum centrum in q r. </s>
              <s xml:id="echoid-s23650" xml:space="preserve">Quoniam uero diuerſæ ſunt
                <lb/>
              cali inclinationes, ut dictum eſt, alia Romæ alia Athenis, alia alibi: </s>
              <s xml:id="echoid-s23651" xml:space="preserve">ideo ſtatuendum est pro qua inclinatio-
                <lb/>
              ne horologium ſit conficiendum, ut & </s>
              <s xml:id="echoid-s23652" xml:space="preserve">finitoris, & </s>
              <s xml:id="echoid-s23653" xml:space="preserve">uerticalis diametros analemmati inſcrib amus. </s>
              <s xml:id="echoid-s23654" xml:space="preserve">Statuamus
                <lb/>
              crgo borologium deſcribere ad eam inclinationem, quæ eſt Venetijs, quæ ad quadraginta quinque tetrantis
                <lb/>
                <figure xlink:label="fig-514.01.343-01" xlink:href="fig-514.01.343-01a" number="141">
                  <variables xml:id="echoid-variables97" xml:space="preserve">1 3 b x z g 2 5 f p 0 1 4 t I c e o n m r u 6 q i h 8 y d 5</variables>
                </figure>
                <note position="left" xlink:label="note-514.01.343-01" xlink:href="note-514.01.343-01a" xml:space="preserve">10</note>
                <note position="left" xlink:label="note-514.01.343-02" xlink:href="note-514.01.343-02a" xml:space="preserve">20</note>
              partes extollitur. </s>
              <s xml:id="echoid-s23655" xml:space="preserve">numeretur altitudo dicta a puncto
                <lb/>
              b, uerſus d. </s>
              <s xml:id="echoid-s23656" xml:space="preserve">& </s>
              <s xml:id="echoid-s23657" xml:space="preserve">fiat ſignum in meridiana circina-
                <lb/>
              tione, ubi est litera x. </s>
              <s xml:id="echoid-s23658" xml:space="preserve">ducatur ab x, per cen-
                <lb/>
              trum e, ad oppoſitam partem meridiani linea X
                <lb/>
              e y. </s>
              <s xml:id="echoid-s23659" xml:space="preserve">quæ finitoris diametro reſpondebit. </s>
              <s xml:id="echoid-s23660" xml:space="preserve">Ducatur
                <lb/>
              deinde diameter uerticalis, quæ gnomon dicitur ad
                <lb/>
              angulos rectos finitoris diametrum ſecans, & </s>
              <s xml:id="echoid-s23661" xml:space="preserve">ſit il-
                <lb/>
              la z e &</s>
              <s xml:id="echoid-s23662" xml:space="preserve">. His expeditis ducendæ ſunt lineæ a
                <lb/>
              ſingulis diametrorum ſectionibus finitoris, uerbi
                <lb/>
              gratia ubi diameter f g, ſecat finitorem x e y.
                <lb/>
              </s>
              <s xml:id="echoid-s23663" xml:space="preserve">ubi eſt 2. </s>
              <s xml:id="echoid-s23664" xml:space="preserve">ducenda est linea ad circinationem he-
                <lb/>
              micycli Cancri ad punctum i. </s>
              <s xml:id="echoid-s23665" xml:space="preserve">ſimili modo ubi dia-
                <lb/>
              meter k l, ſecat finitorem x e y, in ſigno 4. </s>
              <s xml:id="echoid-s23666" xml:space="preserve">
                <lb/>
              ducenda eſt linea ad ſemicirculi ſui circinationem
                <lb/>
              in ſignum 3. </s>
              <s xml:id="echoid-s23667" xml:space="preserve">eadem ratione a diametro q r. </s>
              <s xml:id="echoid-s23668" xml:space="preserve">in
                <lb/>
              ſectione eius, & </s>
              <s xml:id="echoid-s23669" xml:space="preserve">finitoris ducenda eſt linea b s. </s>
              <s xml:id="echoid-s23670" xml:space="preserve">
                <lb/>
              hæ igitur erunt communes eorum circulorum cum
                <lb/>
              finitore ſectiones, quæ quotam partem eorum circu-
                <lb/>
              lorum extantem ſupra finitorem ostendunt. </s>
              <s xml:id="echoid-s23671" xml:space="preserve">itaque
                <lb/>
              ſi ducamus ſemicirculum g 1 f. </s>
              <s xml:id="echoid-s23672" xml:space="preserve">ad integrum cir-
                <lb/>
              culum, & </s>
              <s xml:id="echoid-s23673" xml:space="preserve">ſectionem 1 2, producamus ad alteram
                <lb/>
              partẽ circuli, ſane pars illa 1 g, & </s>
              <s xml:id="echoid-s23674" xml:space="preserve">extremo lineæ
                <lb/>
              1 2 comprehenſa, oſtendet portionẽ quæ ſub finitore
                <lb/>
              erit. </s>
              <s xml:id="echoid-s23675" xml:space="preserve">reliqua uero 1 f, et alterum extremũ, partem
                <lb/>
              extantem declarabit. </s>
              <s xml:id="echoid-s23676" xml:space="preserve">Eadem erit reliquarum diame
                <lb/>
                <note position="left" xlink:label="note-514.01.343-03" xlink:href="note-514.01.343-03a" xml:space="preserve">30</note>
              trorum ſpeculatio. </s>
              <s xml:id="echoid-s23677" xml:space="preserve">Sumamus ergo in alio loco circulum diametri f s g. </s>
              <s xml:id="echoid-s23678" xml:space="preserve">qui ſit 1 f 7 g. </s>
              <s xml:id="echoid-s23679" xml:space="preserve">ita ut 1, ad
                <lb/>
              dextram collocetur ubi ortus 7. </s>
              <s xml:id="echoid-s23680" xml:space="preserve">ad ſiniſtram ubi occaſus, g. </s>
              <s xml:id="echoid-s23681" xml:space="preserve">in imo, f. </s>
              <s xml:id="echoid-s23682" xml:space="preserve">in ſummo ſit: </s>
              <s xml:id="echoid-s23683" xml:space="preserve">iam diuidendus est
                <lb/>
              circulus is iuxta id genus horarum, quod propoſitum eſt, nam diuerſorum gener um horarum, diuerſas faciunt
                <lb/>
              illius circuli partitiones. </s>
              <s xml:id="echoid-s23684" xml:space="preserve">Sumamus nos ante alia, horas antiquas: </s>
              <s xml:id="echoid-s23685" xml:space="preserve">diuidatur ergo portio circuli huius 1
                <lb/>
              g 7. </s>
              <s xml:id="echoid-s23686" xml:space="preserve">quæſupra finitorem eſſe fingitur, in partes duodenas, & </s>
              <s xml:id="echoid-s23687" xml:space="preserve">ubi eſt litera 1. </s>
              <s xml:id="echoid-s23688" xml:space="preserve">ad ortum notandum est 1
                <lb/>
              2. </s>
              <s xml:id="echoid-s23689" xml:space="preserve">diuidatur quoque portio i g 7. </s>
              <s xml:id="echoid-s23690" xml:space="preserve">infra 1. </s>
              <s xml:id="echoid-s23691" xml:space="preserve">in duodenas partes, & </s>
              <s xml:id="echoid-s23692" xml:space="preserve">in prima parte tam ſupra, quam in-
                <lb/>
              fra 1. </s>
              <s xml:id="echoid-s23693" xml:space="preserve">noteur 11. </s>
              <s xml:id="echoid-s23694" xml:space="preserve">in ſecundis 10. </s>
              <s xml:id="echoid-s23695" xml:space="preserve">in tertijs 9. </s>
              <s xml:id="echoid-s23696" xml:space="preserve">in quartis octo, in quintis ſeptem, in ſextis 6. </s>
              <s xml:id="echoid-s23697" xml:space="preserve">in ſep-
                <lb/>
              timis quinque, in octauis 4. </s>
              <s xml:id="echoid-s23698" xml:space="preserve">in nonis 3. </s>
              <s xml:id="echoid-s23699" xml:space="preserve">in decimis 2. </s>
              <s xml:id="echoid-s23700" xml:space="preserve">in undecimis 1. </s>
              <s xml:id="echoid-s23701" xml:space="preserve">Ita enim diuiſæ erunt portiones
                <lb/>
              circuli tam ſupra, quam infra finitorem, nec te moueat quod portio 1 g 7. </s>
              <s xml:id="echoid-s23702" xml:space="preserve">inferior Cancri inſeruiat par-
                <lb/>
              titioni minoris diei, quoniam conſider anda eſt tanquam portio ſuperior Capricorni. </s>
              <s xml:id="echoid-s23703" xml:space="preserve">His rationibus omnium
                <lb/>
              ſignorum circuli partiendi ſunt, uidebis autem in omni ſigno portionem horarum extantem finitori. </s>
              <s xml:id="echoid-s23704" xml:space="preserve">post hæc
                <lb/>
                <note position="left" xlink:label="note-514.01.343-04" xlink:href="note-514.01.343-04a" xml:space="preserve">40</note>
              fiat diameter circuli 1 f 7 g. </s>
              <s xml:id="echoid-s23705" xml:space="preserve">qui meridiano reſpondeat, & </s>
              <s xml:id="echoid-s23706" xml:space="preserve">ſit f g. </s>
              <s xml:id="echoid-s23707" xml:space="preserve">ad eam diametrum rectæ ducantur a
                <lb/>
              ſingulis partibus in circinationis linea ſignatis, ita ab 11. </s>
              <s xml:id="echoid-s23708" xml:space="preserve">& </s>
              <s xml:id="echoid-s23709" xml:space="preserve">1. </s>
              <s xml:id="echoid-s23710" xml:space="preserve">cadet linea in f g. </s>
              <s xml:id="echoid-s23711" xml:space="preserve">diametrum, & </s>
              <s xml:id="echoid-s23712" xml:space="preserve">ſi-
                <lb/>
              mili ratione ab 10. </s>
              <s xml:id="echoid-s23713" xml:space="preserve">& </s>
              <s xml:id="echoid-s23714" xml:space="preserve">2. </s>
              <s xml:id="echoid-s23715" xml:space="preserve">ab 9. </s>
              <s xml:id="echoid-s23716" xml:space="preserve">& </s>
              <s xml:id="echoid-s23717" xml:space="preserve">3, ab 8. </s>
              <s xml:id="echoid-s23718" xml:space="preserve">& </s>
              <s xml:id="echoid-s23719" xml:space="preserve">4. </s>
              <s xml:id="echoid-s23720" xml:space="preserve">ab 7. </s>
              <s xml:id="echoid-s23721" xml:space="preserve">& </s>
              <s xml:id="echoid-s23722" xml:space="preserve">5. </s>
              <s xml:id="echoid-s23723" xml:space="preserve">erunt autem ſigna ubi 6. </s>
              <s xml:id="echoid-s23724" xml:space="preserve">in
                <lb/>
              meridiana linea, nam ſexta hora antiquorum meridies erat. </s>
              <s xml:id="echoid-s23725" xml:space="preserve">Sunt autem lineæ buiuſmodi ea de cauſa ductæ
                <lb/>
              ut ſciamus ſectiones horarias cum plano horologij, uel finitoris. </s>
              <s xml:id="echoid-s23726" xml:space="preserve">Nunc ex anal emmate Solis altitudines eli-
                <lb/>
              ciendæ, ut protenſiones umbrarum ſingulis horis indicemus. </s>
              <s xml:id="echoid-s23727" xml:space="preserve">Sumatur igitur ab analemmate meridianus a
                <lb/>
              b c d, & </s>
              <s xml:id="echoid-s23728" xml:space="preserve">diameter tropici Cancri f g. </s>
              <s xml:id="echoid-s23729" xml:space="preserve">ſecundum partitiones iam factas in diagrammate O. </s>
              <s xml:id="echoid-s23730" xml:space="preserve">Sumatur
                <lb/>
              etiam finitor x e y. </s>
              <s xml:id="echoid-s23731" xml:space="preserve">quemadmodum eſt in analemmate, traijciantur autem lineæ per diuiſiones ſingulas Cã
                <lb/>
              cri, quæ æquidiſtent finitori x e y. </s>
              <s xml:id="echoid-s23732" xml:space="preserve">quæ altero extremo cir cinationem meridiani, altero verticalem diame-
                <lb/>
              trum contingant. </s>
              <s xml:id="echoid-s23733" xml:space="preserve">post hæc gnomonis longitudinem ſtatuas quantam libet. </s>
              <s xml:id="echoid-s23734" xml:space="preserve">& </s>
              <s xml:id="echoid-s23735" xml:space="preserve">eam pones ſub e. </s>
              <s xml:id="echoid-s23736" xml:space="preserve">ubi apex
                <lb/>
                <note position="left" xlink:label="note-514.01.343-05" xlink:href="note-514.01.343-05a" xml:space="preserve">50</note>
              gnomonis eſt ad z. </s>
              <s xml:id="echoid-s23737" xml:space="preserve">in diametro uerticali z e &</s>
              <s xml:id="echoid-s23738" xml:space="preserve">. & </s>
              <s xml:id="echoid-s23739" xml:space="preserve">per z. </s>
              <s xml:id="echoid-s23740" xml:space="preserve">ubi pes gnomonis eſſe fingitur tranſeat linea
                <lb/>
              finitori æque distans, quæ ſit T Z V. </s>
              <s xml:id="echoid-s23741" xml:space="preserve">linea hæc planitiæ linea eſt. </s>
              <s xml:id="echoid-s23742" xml:space="preserve">ad eliciendas aut em umbrarum produ-
                <lb/>
              ctiones ſingulis horis, duces occultas lineas ab horis in meridiana circinatione ſignatis per centrum e, ad
                <lb/>
              lineam planitiæ. </s>
              <s xml:id="echoid-s23743" xml:space="preserve">metieris autem umbras a ſigno Z, ubi est pes gnomonis ad terminum ſingular um hora-
                <lb/>
              rum in lineam planitiæ ductarum. </s>
              <s xml:id="echoid-s23744" xml:space="preserve">ſimili ratione, ſi lineam Q R S. </s>
              <s xml:id="echoid-s23745" xml:space="preserve">duxeris æque diſtantem finitori ſupra
                <lb/>
              centrum e. </s>
              <s xml:id="echoid-s23746" xml:space="preserve">pro gnomonis longitudine, & </s>
              <s xml:id="echoid-s23747" xml:space="preserve">ad eã lineas occultas, ab horis in circinatione meridiani poſitis de-
                <lb/>
              duxeris, habebis longitudinem umbræ in horis hybernis: </s>
              <s xml:id="echoid-s23748" xml:space="preserve">quemadmodum ex diagrammmate noſces. </s>
              <s xml:id="echoid-s23749" xml:space="preserve">Sed
                <lb/>
              accedamus ad latitudinem umbræ ex analemmate elicienda. </s>
              <s xml:id="echoid-s23750" xml:space="preserve">Primum ergo ut confuſionem linearum fugiamus,
                <lb/>
              circulũut ſupra, facies a b c d. </s>
              <s xml:id="echoid-s23751" xml:space="preserve">in quo uerticalis diametrum z e &</s>
              <s xml:id="echoid-s23752" xml:space="preserve">. & </s>
              <s xml:id="echoid-s23753" xml:space="preserve">finitorem x e y. </s>
              <s xml:id="echoid-s23754" xml:space="preserve">& </s>
              <s xml:id="echoid-s23755" xml:space="preserve">tropici
                <lb/>
              diametrum f g. </s>
              <s xml:id="echoid-s23756" xml:space="preserve">cum ſuis diuiſionibus ex diagrammate O. </s>
              <s xml:id="echoid-s23757" xml:space="preserve">ſumptis, inde duces per diuiſionis tropici ſigna,
                <lb/>
                <note position="left" xlink:label="note-514.01.343-06" xlink:href="note-514.01.343-06a" xml:space="preserve">60</note>
              </s>
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