Vitruvius, De architectura libri decem, 1567

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              <s xml:id="echoid-s23573" xml:space="preserve">
                <pb o="310" file="514.01.342" n="342" rhead="LIBER"/>
              nanque horum duorum angulorum notitia prodeſt ad horologia in plano uerticali deſcribenda, prioris enim
                <lb/>
              anguli ratio altitudinem Solis ſuper eo plano indicabit, unde umbræ longitudo deprehendetur, poſterioris uero
                <lb/>
              cognitio partem, & </s>
              <s xml:id="echoid-s23574" xml:space="preserve">latitudinem ostendet. </s>
              <s xml:id="echoid-s23575" xml:space="preserve">Iam ueniamus ad finitorem mobilem, moueaturq́ & </s>
              <s xml:id="echoid-s23576" xml:space="preserve">ipſe ad So-
                <lb/>
              lem uſque ſublatus, ipſe quoque duos angulos conſtituet, alterum ex rectis, alterum ex planis, finitore ſcili-
                <lb/>
              cet mobili, & </s>
              <s xml:id="echoid-s23577" xml:space="preserve">immobili. </s>
              <s xml:id="echoid-s23578" xml:space="preserve">Angulus ex rectis conſtabit radio Solis, & </s>
              <s xml:id="echoid-s23579" xml:space="preserve">diametro æquinoctialis, quæ eadem eſt
                <lb/>
              cum diametro finitoris. </s>
              <s xml:id="echoid-s23580" xml:space="preserve">hic altitudinem Solis præſtabit, unde longitudo umbræ elicietur, & </s>
              <s xml:id="echoid-s23581" xml:space="preserve">ſubtenditur ambi-
                <lb/>
              tu a loco Solis ad punctum horizontalis diametri intercepto. </s>
              <s xml:id="echoid-s23582" xml:space="preserve">At angulus ex duobus illis planis conſtantem
                <lb/>
                <figure xlink:label="fig-514.01.342-01" xlink:href="fig-514.01.342-01a" number="139">
                  <caption xml:id="echoid-caption40" xml:space="preserve">Analemmatis figura.</caption>
                  <description xml:id="echoid-description82" xml:space="preserve">MERIDIAN: S
                    <lb/>
                  . M. M
                    <lb/>
                  LS
                    <lb/>
                  LACITREV
                    <lb/>
                  M.M.
                    <lb/>
                  MERIDIAN: .S.
                    <lb/>
                  OM
                    <lb/>
                  VERTICA
                    <lb/>
                  V.M.
                    <lb/>
                  .S.
                    <lb/>
                  . O. M.
                    <lb/>
                  ORIZON:
                    <lb/>
                  W. A.
                    <lb/>
                  STAB:</description>
                </figure>
              ambitus ille meridiani ſubtendet,
                <lb/>
              quod eſt inter locum Solis, & </s>
              <s xml:id="echoid-s23583" xml:space="preserve">pun-
                <lb/>
                <note position="left" xlink:label="note-514.01.342-01" xlink:href="note-514.01.342-01a" xml:space="preserve">10</note>
              ctum in quo mer dianus finitorem
                <lb/>
              ſec at ambitus hic partem & </s>
              <s xml:id="echoid-s23584" xml:space="preserve">lati-
                <lb/>
              tudinem dabit in qua eſt Sol, unde
                <lb/>
              latitudo umbræ percipitur. </s>
              <s xml:id="echoid-s23585" xml:space="preserve">Atque
                <lb/>
              hæc dicta ſint de planorum mobi-
                <lb/>
              lium, & </s>
              <s xml:id="echoid-s23586" xml:space="preserve">immobilium effectibus,
                <lb/>
              deque angulorum rationibus, & </s>
              <s xml:id="echoid-s23587" xml:space="preserve">
                <lb/>
              linearũ deſcriptionibus. </s>
              <s xml:id="echoid-s23588" xml:space="preserve">Cum hæc
                <lb/>
              ſcriberem allatum eſt mihi inſtru-
                <lb/>
              mentum ab Antonio Pazzio de
                <lb/>
                <note position="left" xlink:label="note-514.01.342-02" xlink:href="note-514.01.342-02a" xml:space="preserve">20</note>
              quo ſuperius dixi, quod facile om-
                <lb/>
              nia, quæ dicta ſunt ſenſibus ſubijci
                <lb/>
              poſſunt. </s>
              <s xml:id="echoid-s23589" xml:space="preserve">huius inſtrumentiratio ex
                <lb/>
              ipſo diagrammate intelligetur.</s>
              <s xml:id="echoid-s23590" xml:space="preserve"/>
            </p>
            <p>
              <s xml:id="echoid-s23591" xml:space="preserve">Nunc ad analemma deſignandum
                <lb/>
              accedam. </s>
              <s xml:id="echoid-s23592" xml:space="preserve">Eſto circulus meridia-
                <lb/>
              no reſpondens a b c d. </s>
              <s xml:id="echoid-s23593" xml:space="preserve">in tetrantes ſuos duabus diametris diuidatur a d, æquinoctiali, b c. </s>
              <s xml:id="echoid-s23594" xml:space="preserve">axi re-
                <lb/>
              ſpondeat, ita ut b, ſit ſuperior uertex, qui est ad ar cton. </s>
              <s xml:id="echoid-s23595" xml:space="preserve">c, uero inferior, diuidatur tetrans a b, in partes
                <lb/>
              nonaginta ab a ſigno, a quo ſeparentur partes uiginti tres, & </s>
              <s xml:id="echoid-s23596" xml:space="preserve">dimidia, & </s>
              <s xml:id="echoid-s23597" xml:space="preserve">in termino ponatur f. </s>
              <s xml:id="echoid-s23598" xml:space="preserve">ab eodem
                <lb/>
              quoque ſeparentur partes uiginti & </s>
              <s xml:id="echoid-s23599" xml:space="preserve">minuta duodecim, ubi ponatur o. </s>
              <s xml:id="echoid-s23600" xml:space="preserve">demum ab eodem puncto a, nume-
                <lb/>
                <note position="left" xlink:label="note-514.01.342-03" xlink:href="note-514.01.342-03a" xml:space="preserve">30</note>
                <figure xlink:label="fig-514.01.342-02" xlink:href="fig-514.01.342-02a" number="140">
                  <variables xml:id="echoid-variables96" xml:space="preserve">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</variables>
                </figure>
              rentur partes undecim, & </s>
              <s xml:id="echoid-s23601" xml:space="preserve">dimidia, & </s>
              <s xml:id="echoid-s23602" xml:space="preserve">
                <lb/>
              in fine ponatur k. </s>
              <s xml:id="echoid-s23603" xml:space="preserve">transferantur ea-
                <lb/>
              dem interualla ab a, inferius ita ut
                <lb/>
              a f. </s>
              <s xml:id="echoid-s23604" xml:space="preserve">ſit a b. </s>
              <s xml:id="echoid-s23605" xml:space="preserve">& </s>
              <s xml:id="echoid-s23606" xml:space="preserve">a o, ſit a q. </s>
              <s xml:id="echoid-s23607" xml:space="preserve">& </s>
              <s xml:id="echoid-s23608" xml:space="preserve">
                <lb/>
              demum a k, ſit a m. </s>
              <s xml:id="echoid-s23609" xml:space="preserve">eædem diui-
                <lb/>
              ſiones in oppoſitam partem, ſupra & </s>
              <s xml:id="echoid-s23610" xml:space="preserve">
                <lb/>
              infra d, transſerantur ita ut ipſi f
                <lb/>
              reſpondeat g. </s>
              <s xml:id="echoid-s23611" xml:space="preserve">ipſi o, reſpondeat p.
                <lb/>
              </s>
              <s xml:id="echoid-s23612" xml:space="preserve">ipſi k. </s>
              <s xml:id="echoid-s23613" xml:space="preserve">l. </s>
              <s xml:id="echoid-s23614" xml:space="preserve">ipſi m. </s>
              <s xml:id="echoid-s23615" xml:space="preserve">n. </s>
              <s xml:id="echoid-s23616" xml:space="preserve">ipſi q. </s>
              <s xml:id="echoid-s23617" xml:space="preserve">r. </s>
              <s xml:id="echoid-s23618" xml:space="preserve">& </s>
              <s xml:id="echoid-s23619" xml:space="preserve">
                <lb/>
              demum ipſi b. </s>
              <s xml:id="echoid-s23620" xml:space="preserve">i. </s>
              <s xml:id="echoid-s23621" xml:space="preserve">ducantur ergo li-
                <lb/>
              neæ f g. </s>
              <s xml:id="echoid-s23622" xml:space="preserve">o p. </s>
              <s xml:id="echoid-s23623" xml:space="preserve">k l. </s>
              <s xml:id="echoid-s23624" xml:space="preserve">m n. </s>
              <s xml:id="echoid-s23625" xml:space="preserve">q r. </s>
              <s xml:id="echoid-s23626" xml:space="preserve">b
                <lb/>
                <note position="left" xlink:label="note-514.01.342-04" xlink:href="note-514.01.342-04a" xml:space="preserve">40</note>
              i. </s>
              <s xml:id="echoid-s23627" xml:space="preserve">hæ ſunt diametri ſignorum, idest cir-
                <lb/>
              culorum æquedistantium ab æquino-
                <lb/>
              ctiali ſecundum principiorum ſignorũ
                <lb/>
              declinationem, ita ut diameter f g,
                <lb/>
              ſit diametros circuli quem Sol facit, dũ
                <lb/>
              in Cancrum init. </s>
              <s xml:id="echoid-s23628" xml:space="preserve">b i, ad Capricor-
                <lb/>
              num referatur. </s>
              <s xml:id="echoid-s23629" xml:space="preserve">o p, ad Geminos, & </s>
              <s xml:id="echoid-s23630" xml:space="preserve">
                <lb/>
              Leonem. </s>
              <s xml:id="echoid-s23631" xml:space="preserve">k l. </s>
              <s xml:id="echoid-s23632" xml:space="preserve">ad Taurum, & </s>
              <s xml:id="echoid-s23633" xml:space="preserve">Virgi-
                <lb/>
              nem. </s>
              <s xml:id="echoid-s23634" xml:space="preserve">m n, ad Piſces. </s>
              <s xml:id="echoid-s23635" xml:space="preserve">q r, ad A-
                <lb/>
              quarium, & </s>
              <s xml:id="echoid-s23636" xml:space="preserve">Sagittarium. </s>
              <s xml:id="echoid-s23637" xml:space="preserve">Diametro-
                <lb/>
                <note position="left" xlink:label="note-514.01.342-05" xlink:href="note-514.01.342-05a" xml:space="preserve">50</note>
              rum interualla hæc aut ex tabella de-
                <lb/>
              clinationis Solis, aut ex menſtruo cir-
                <lb/>
              culo, & </s>
              <s xml:id="echoid-s23638" xml:space="preserve">lacotomo linea ex analemma
                <lb/>
              te ſumuntur. </s>
              <s xml:id="echoid-s23639" xml:space="preserve">Eadem ratione per ſin-
                <lb/>
              gulos ſignorum gradus diametros in
                <lb/>
              analemma transferre poteris. </s>
              <s xml:id="echoid-s23640" xml:space="preserve">Ducan-
                <lb/>
              tur ergo ſuper diametros illas hemi-
                <lb/>
              cyclia, ne autem linearum confuſio fiat, quatuor tantum diametros ſumemus. </s>
              <s xml:id="echoid-s23641" xml:space="preserve">æquinoctialis, Tropici ſuperio-
                <lb/>
              ris, & </s>
              <s xml:id="echoid-s23642" xml:space="preserve">Tauri, inferius uero Sagittarij, quoniam ratio unius alterius rationem ostendet, ut notum erit. </s>
              <s xml:id="echoid-s23643" xml:space="preserve">Sint
                <lb/>
              ergo centra earum diametrorum collocata, ubi ea ſecant mundi axem, ita e s, centrum erit ſemicirculi in
                <lb/>
                <note position="left" xlink:label="note-514.01.342-06" xlink:href="note-514.01.342-06a" xml:space="preserve">60</note>
              </s>
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